// Numbas version: finer_feedback_settings
{"name": "Ulikheter quiz", "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "duration": 0, "percentPass": "80", "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", "", "", "", ""], "variable_overrides": [[], [], [], [], [], []], "questions": [{"name": "Ulikheter: Navn og symboler", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Torris Bakke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/942/"}], "tags": ["inequalities", "inequality", "inequations"], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_x", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Koble symbol til riktig mening.</p>", "stepsPenalty": "1", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Uttrykket $x&lt;3$ leses som '$x$ er <strong>mindre enn</strong> 3'. Vi kan tenke oss at symbolet $&lt;$ har en spiss i ene enden og en &aring;pning i andre, der spissen peker mot det minste tallet og &aring;pningen mot det st&oslash;rste tallet.&nbsp;</p>\n<p>Det gjelder ogs&aring; hvis symbolet snus andre veien. For eksempel, i uttrykket $y&gt;2$ peker spissen mot 2 mens &aring;pningen er mot $y$. Det leser vi som '$y$ er <strong>st&oslash;rre enn</strong> 2'.</p>\n<p>N&aring;r det er en strek under symbolet, f.eks $\\ge$, kan vi tenke oss at det er tilf&oslash;rt et likhetstegn, f.eks. betyr $w\\ge 5$ at '$w$ er <strong>st&oslash;rre enn eller lik</strong> 5'. P&aring; samme m&aring;te betyr $z\\le 0$ at '$z$ er&nbsp;<strong>mindre eller lik</strong>&nbsp;0'.</p>"}], "minMarks": 0, "maxMarks": 0, "minAnswers": 0, "maxAnswers": 0, "shuffleChoices": true, "shuffleAnswers": true, "displayType": "radiogroup", "warningType": "none", "showCellAnswerState": true, "markingMethod": "sum ticked cells", "choices": ["<p>mindre enn</p>", "<p>mindre eller lik</p>", "<p>st&oslash;rre enn</p>", "<p>st&oslash;rre eller lik</p>"], "matrix": [["1", 0, 0, 0], [0, "1", 0, 0], [0, 0, "1", 0], [0, 0, 0, "1"]], "layout": {"type": "all", "expression": ""}, "answers": ["<p>$&lt;$</p>", "<p>$\\leq$</p>", "<p>$&gt;$</p>", "<p>$\\ge$</p>"]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Ulikheter: Enkel ulikhet, tester verdier", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Torris Bakke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/942/"}], "tags": ["inequalities", "inequality", "inequations"], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "num+random(0.01..0.5#0.01)", "description": "", "templateType": "anything", "can_override": false}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "num+random(2..8)", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "num-random(0.01..0.5#0.01)", "description": "", "templateType": "anything", "can_override": false}, "numtex": {"name": "numtex", "group": "Ungrouped variables", "definition": "'\\$\\\\var{num}\\$'", "description": "", "templateType": "anything", "can_override": false}, "question": {"name": "question", "group": "Ungrouped variables", "definition": "variable+ineq+numtex", "description": "", "templateType": "anything", "can_override": false}, "possible_values": {"name": "possible_values", "group": "Ungrouped variables", "definition": "[num,a,b,c,d]", "description": "", "templateType": "anything", "can_override": false}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "num-random(2..8)", "description": "", "templateType": "anything", "can_override": false}, "variable": {"name": "variable", "group": "Ungrouped variables", "definition": "random('\\$x\\$','\\$y\\$','\\$z\\$','\\$n\\$','\\$m\\$','\\$a\\$','\\$b\\$')", "description": "", "templateType": "anything", "can_override": false}, "num": {"name": "num", "group": 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variables", "definition": "if(ineq='\\$\\\\,<\\\\,\\$',[0,0,1,0,1],\n  if(ineq='\\$\\\\,\\\\le\\\\,\\$',[1,0,1,0,1],\n    if(ineq='\\$\\\\,>\\\\,\\$',[0,1,0,1,0],\n      if(ineq='\\$\\\\,\\\\ge\\\\,\\$',[1,1,0,1,0],\"error\"))))", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["variable", "ineq", "num", "numtex", "question", "test", "possible_values", "a", "b", "c", "d", "marking", "words"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Hvilke verdier av {variable} tilfredsstiller ulikheten {question}?</p>", "stepsPenalty": "1", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Uttrykket {question} betyr at {variable} {words} {numtex}.</p>\n<p></p>\n<p>N&aring;r vi har negative tall, m&aring; vi huske p&aring; at 'mindre' betyr lenger til venstre p&aring; tallinjen mens 'st&oslash;rre' betyr lenger til h&oslash;yre. S&aring; $-10$ er mindre enn $-5$, siden $-10$ er fem plasser&nbsp;<strong>til venstre for</strong> $-5$ p&aring; tallinjen..</p>\n<p></p>\n<p></p>"}], "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "checkbox", "displayColumns": "0", "minAnswers": 0, "maxAnswers": 0, "warningType": "none", "showCellAnswerState": true, "markingMethod": "sum ticked cells", "choices": ["<p><br/>{num}</p>", "<p><br/>{a}</p>", "<p><br/>{b}</p>", "<p><br/>{c}</p>", "<p><br/>{d}</p>"], "matrix": "marking"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Ulikheter: Doble ulikheter (OG), tester verdier", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Torris Bakke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/942/"}], "tags": ["inequalities", "inequality", "inequations"], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"num4": {"name": "num4", "group": "partb", "definition": "num3+random(2..12)", "description": "", "templateType": "anything", "can_override": false}, "num1": {"name": "num1", "group": "Ungrouped variables", "definition": "random(-12..12)", "description": "", "templateType": "anything", "can_override": false}, "num2": {"name": "num2", "group": "Ungrouped variables", "definition": "num1+random(2..12)", "description": "", "templateType": "anything", "can_override": false}, "num3": {"name": "num3", "group": "partb", "definition": "random(-12..12 except num1)", "description": "", "templateType": "anything", "can_override": false}, "ineqs": {"name": "ineqs", "group": "partb", "definition": "random(\n  [random('\\$\\\\,<\\\\,\\$','\\$\\\\,\\\\le\\\\,\\$'),random('\\$\\\\,<\\\\,\\$','\\$\\\\,\\\\le\\\\,\\$'),'l'],\n  [random('\\$\\\\,>\\\\,\\$','\\$\\\\,\\\\ge\\\\,\\$'),random('\\$\\\\,>\\\\,\\$','\\$\\\\,\\\\ge\\\\,\\$'),'g'])", "description": "", "templateType": "anything", "can_override": false}, "words2": {"name": "words2", "group": "Ungrouped variables", "definition": "if(ineq2='\\$\\\\,<\\\\,\\$',['er \\$\\\\textbf{mindre enn}\\$','\\$\\\\textbf{til}\\$','\\$\\\\textbf{ikke}\\$ er inkludert'],\n  if(ineq2='\\$\\\\,\\\\le\\\\,\\$',['er \\$\\\\textbf{mindre eller lik}\\$','\\$\\\\textbf{til og med}\\$','er inkludert'],\n    if(ineq2='\\$\\\\,>\\\\,\\$',['er \\$\\\\textbf{st\u00f8rre enn}\\$','\\$\\\\textbf{fra}\\$','\\$\\\\textbf{ikke}\\$ er inkludert'],\n      if(ineq2='\\$\\\\,\\\\ge\\\\,\\$',['\\$\\\\textbf{st\u00f8rre eller lik}\\$','\\$\\\\textbf{fra og 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false}, "marking2": {"name": "marking2", "group": "partb", "definition": "if(ineqs[2]='l',[1,0],if(ineqs[2]='g',[0,1],\"error\"))", "description": "", "templateType": "anything", "can_override": false}, "marking": {"name": "marking", "group": "Ungrouped variables", "definition": "if(ineq1='\\$\\\\,<\\\\,\\$' and ineq2='\\$\\\\,<\\\\,\\$',[0,0,1,0,0],\nif(ineq1='\\$\\\\,<\\\\,\\$' and ineq2='\\$\\\\,\\\\le\\\\,\\$',[0,0,1,1,0],\nif(ineq1='\\$\\\\,\\\\le\\\\,\\$' and ineq2='\\$\\\\,\\\\le\\\\,\\$',[0,1,1,1,0],\nif(ineq1='\\$\\\\,\\\\le\\\\,\\$' and ineq2='\\$\\\\,<\\\\,\\$',[0,1,1,0,0],\"error\"))))", "description": "<p><strong></strong>[less, num1, middle, num2, more]</p>", "templateType": "anything", "can_override": false}, "num2tex": {"name": "num2tex", "group": "Ungrouped variables", "definition": "'\\$\\\\var{num2}\\$'", "description": "", "templateType": "anything", "can_override": false}, "less": {"name": "less", "group": "Ungrouped variables", "definition": "num1-random(1..5)", "description": "", "templateType": "anything", "can_override": false}, "question": {"name": "question", "group": "Ungrouped variables", "definition": "num1tex+ineq1+variable+ineq2+num2tex", "description": "", "templateType": "anything", "can_override": false}, "more": {"name": "more", "group": "Ungrouped variables", "definition": "num2+random(2..5)", "description": "", "templateType": "anything", "can_override": false}, "ineq1": {"name": "ineq1", "group": "Ungrouped variables", "definition": "random('\\$\\\\,<\\\\,\\$','\\$\\\\,\\\\le\\\\,\\$')", "description": "", "templateType": "anything", "can_override": false}, "ineq2": {"name": "ineq2", "group": "Ungrouped variables", "definition": "random('\\$\\\\,<\\\\,\\$','\\$\\\\,\\\\le\\\\,\\$')", "description": "", "templateType": "anything", "can_override": false}, "variable2": {"name": "variable2", "group": "partb", "definition": "random(['\\$x\\$','\\$y\\$','\\$z\\$','\\$n\\$','\\$m\\$','\\$a\\$','\\$b\\$'] except variable)", "description": "", "templateType": "anything", "can_override": false}, "question2": {"name": "question2", "group": "partb", "definition": "variable2+ineqs[0]+num3+' \\$\\\\textbf{og}\\$ '+variable2+ineqs[1]+num4", "description": "", "templateType": "anything", "can_override": false}, "variable": {"name": "variable", "group": "Ungrouped variables", "definition": "random('\\$x\\$','\\$y\\$','\\$z\\$','\\$n\\$','\\$m\\$','\\$a\\$','\\$b\\$')", "description": "", "templateType": "anything", "can_override": false}, "solution": {"name": "solution", "group": "partb", "definition": "if(ineqs[2]='l',variable2+ineqs[0]+num3+' fordi '+num3+'\\$\\\\,<\\\\,\\$'+num4,if(ineqs[2]='g',variable2+ineqs[1]+num4+' fordi '+num4+'\\$\\\\,>\\\\,\\$'+num3,\"error\"))", "description": "", "templateType": "anything", "can_override": false}, "choices": {"name": "choices", "group": "Ungrouped variables", "definition": "[less, num1, middle, num2, more]", "description": "", "templateType": "anything", "can_override": false}, "num1tex": {"name": "num1tex", "group": "Ungrouped variables", "definition": "'\\$\\\\var{num1}\\$'", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "\n", "maxRuns": 100}, "ungrouped_variables": ["variable", "ineq1", "ineq2", "num1", "num2", "num1tex", "num2tex", "question", "less", "more", "middle", "choices", "marking", "words1", "words2"], "variable_groups": [{"name": "partb", "variables": ["variable2", "ineqs", "num3", "num4", "question2", "marking2", "solution"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Hvilke av f&oslash;lgende verdier for {variable} tilfredsstiller ulikheten {question}?</p>", "stepsPenalty": "1", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Uttrykket {question} betyr at {num1tex} {words1[0]} {variable} og {variable} {words2[0]} {num2tex}. En annen m&aring;te &aring; si dette p&aring; er at {variable} er {words1[1]} {num1tex} {words2[1]} {num2tex}, dvs at {num1tex} {words1[2]} og {num2tex} {words2[2]} i l&oslash;sningen.</p>"}], "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "checkbox", "displayColumns": 0, "minAnswers": 0, "maxAnswers": 0, "warningType": "none", "showCellAnswerState": true, "markingMethod": "sum ticked cells", "choices": ["<p><br/>{less}</p>", "<p><br/>{num1}</p>", "<p><br/>{middle}</p>", "<p><br/>{num2}</p>", "<p><br/>{more}</p>"], "matrix": "marking"}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Hvilken av f&oslash;lgende ulikheter er ekvivalent (ensbetydende) med betingelsen {question2}?&nbsp;&nbsp;</p>", "stepsPenalty": "1", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>'{question2}' krever at <strong>begge</strong> ulikhetene er tilfredsstilt. 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if(ineq1='\\$\\\\,\\\\le\\\\,\\$',['er mindre eller lik','inkludert'],\n    if(ineq1='\\$\\\\,>\\\\,\\$',['er st\u00f8rre enn','\\$\\\\textbf{ikke}\\$ inkludert'],\n      if(ineq1='\\$\\\\,\\\\ge\\\\,\\$',['er st\u00f8rre eller lik','inkludert'],[\"error\",\"error\"]))))", "description": "", "templateType": "anything", "can_override": false}, "middle": {"name": "middle", "group": "Ungrouped variables", "definition": "(num1+num2)/2+random(-0.1..0.1#0.01)", "description": "", "templateType": "anything", "can_override": false}, "marking2": {"name": "marking2", "group": "partb", "definition": "if(ineqs[2]='l',[0,1],if(ineqs[2]='g',[1,0],\"error\"))", "description": "", "templateType": "anything", "can_override": false}, "marking": {"name": "marking", "group": "Ungrouped variables", "definition": "if(ineq1='\\$\\\\,<\\\\,\\$' and ineq2='\\$\\\\,>\\\\,\\$',[1,0,0,0,1],\nif(ineq1='\\$\\\\,<\\\\,\\$' and ineq2='\\$\\\\,\\\\ge\\\\,\\$',[1,0,0,1,1],\nif(ineq1='\\$\\\\,\\\\le\\\\,\\$' and ineq2='\\$\\\\,\\\\ge\\\\,\\$',[1,1,0,1,1],\nif(ineq1='\\$\\\\,\\\\le\\\\,\\$' and ineq2='\\$\\\\,>\\\\,\\$',[1,1,0,0,1],\"error\"))))", "description": "<p><strong></strong>[less, num1, middle, num2, more]</p>", "templateType": "anything", "can_override": false}, "num2tex": {"name": "num2tex", "group": "Ungrouped variables", "definition": "'\\$\\\\var{num2}\\$'", "description": "", "templateType": "anything", "can_override": false}, "less": {"name": "less", "group": "Ungrouped variables", "definition": "num1-random(1..5)", "description": "", "templateType": "anything", "can_override": false}, "question": {"name": "question", "group": "Ungrouped variables", "definition": "variable+ineq1+num1tex+' eller '+variable+ineq2+num2tex", "description": "", "templateType": "anything", "can_override": false}, "more": {"name": "more", "group": "Ungrouped variables", "definition": "num2+random(2..5)", "description": "", "templateType": "anything", "can_override": false}, "ineq1": {"name": "ineq1", "group": "Ungrouped variables", "definition": "random('\\$\\\\,<\\\\,\\$','\\$\\\\,\\\\le\\\\,\\$')", "description": "", "templateType": "anything", "can_override": false}, "ineq2": {"name": "ineq2", "group": "Ungrouped variables", "definition": "random('\\$\\\\,>\\\\,\\$','\\$\\\\,\\\\ge\\\\,\\$')", "description": "", "templateType": "anything", "can_override": false}, "variable2": {"name": "variable2", "group": "partb", "definition": "random(['\\$x\\$','\\$y\\$','\\$z\\$','\\$n\\$','\\$m\\$','\\$a\\$','\\$b\\$'] except variable)", "description": "", "templateType": "anything", "can_override": false}, "question2": {"name": "question2", "group": "partb", "definition": "variable2+ineqs[0]+num3+' eller '+variable2+ineqs[1]+num4", "description": "", "templateType": "anything", "can_override": false}, "variable": {"name": "variable", "group": "Ungrouped variables", "definition": "random('\\$x\\$','\\$y\\$','\\$z\\$','\\$n\\$','\\$m\\$','\\$a\\$','\\$b\\$')", "description": "", "templateType": "anything", "can_override": false}, "solution": {"name": "solution", "group": "partb", "definition": "if(ineqs[2]='l',variable2+ineqs[0]+num4+' fordi '+num3+'\\$\\\\,<\\\\,\\$'+num4,if(ineqs[2]='g',variable2+ineqs[1]+num3+' fordi '+num4+'\\$\\\\,>\\\\,\\$'+num3,\"error\"))", "description": "", "templateType": "anything", "can_override": false}, "choices": {"name": "choices", "group": "Ungrouped variables", "definition": "[less, num1, middle, num2, more]", "description": "", "templateType": "anything", "can_override": false}, "num1tex": {"name": "num1tex", "group": "Ungrouped variables", "definition": "'\\$\\\\var{num1}\\$'", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["variable", "ineq1", "ineq2", "num1", "num2", "num1tex", "num2tex", "question", "less", "more", "middle", "choices", "marking", "words1", "words2"], "variable_groups": [{"name": "partb", "variables": ["variable2", "ineqs", "num3", "num4", "question2", "marking2", "solution"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Hvilke verdier for {variable} tilfredsstiller ulikhetene {question}?</p>", "stepsPenalty": "1", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Uttrykket {question} betyr '{variable} {words1[0]} {num1tex} <strong>eller</strong> {variable} {words2[0]} {num2tex}'.</p>"}], "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "checkbox", "displayColumns": 0, "minAnswers": 0, "maxAnswers": 0, "warningType": "none", "showCellAnswerState": true, "markingMethod": "sum ticked cells", "choices": ["<p><br/>{less}</p>", "<p><br/>{num1}</p>", "<p><br/>{middle}</p>", "<p><br/>{num2}</p>", "<p><br/>{more}</p>"], "matrix": "marking"}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Hvilke av de f&oslash;lgende uttrykkene er ekvivalent med (betyr det samme som) {question2}?&nbsp;&nbsp;</p>", "stepsPenalty": "1", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>'{question2}' krever bare at en av ulikhetene er tilfredsstilt (men begge <strong>kan</strong> v&aelig;re det). Betingelsen er tilfredsstilt n&aring;r {solution}.</p>"}], "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["<p>{variable2+ineqs[0]+num3}</p>", "<p>{variable2+ineqs[1]+num4}</p>"], "matrix": "marking2"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Ulikheter: Line\u00e6re", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Torris Bakke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/942/"}], "tags": ["algebra", "Algebra", "balancing equations", "inequalities", "inequality", "inequation", "inequations", "Linear equations", "linear equations", "rearranging equations", "solving equations", "Solving equations", "two step equations"], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<h1>L&oslash;s ulikhetene.</h1>\n<h4>Der svaret ikke er et helt tall skal du svare med br&oslash;k. Eksempel: Bruk 1/2 i stedet for 0,5, 3/2 i stedet for 1,5 osv.</h4>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"ans1": {"name": "ans1", "group": "Ungrouped variables", "definition": "(c-b)/a", "description": "", "templateType": "anything", "can_override": false}, "ans2": {"name": "ans2", "group": "Ungrouped variables", "definition": "(g-d)/(-f)", "description": "", "templateType": "anything", "can_override": false}, "ans3": {"name": "ans3", "group": "Ungrouped variables", "definition": "-(k+j)*h", "description": "", "templateType": "anything", "can_override": false}, "ans4": {"name": "ans4", "group": "Ungrouped variables", "definition": "n*m+l", "description": "", "templateType": "anything", "can_override": false}, "ans5": {"name": "ans5", "group": "Ungrouped variables", "definition": "p/q-r", "description": "", "templateType": "anything", "can_override": false}, "ans6": {"name": "ans6", "group": "Ungrouped variables", "definition": "u*t/s", "description": "", "templateType": "anything", "can_override": false}, "a": {"name": "a", "group": "Ungrouped variables", "definition": "random(2..12)", "description": "", "templateType": "anything", "can_override": false}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "random(-12..12 except [0,b])", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(2..12 except a)", "description": "", "templateType": "anything", "can_override": false}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "random(1..12 except [f,g])", "description": "", "templateType": "anything", "can_override": false}, "g": {"name": "g", "group": "Ungrouped variables", "definition": "random(-12..12 except [0])", "description": "", "templateType": "anything", "can_override": false}, "f": {"name": "f", "group": "Ungrouped variables", "definition": "random(list(2..12)+[100])", "description": "", "templateType": "anything", "can_override": false}, "h": {"name": "h", "group": "Ungrouped variables", "definition": "random(list(2..12)+[20,50,100,200])", "description": "", "templateType": "anything", "can_override": false}, "k": {"name": "k", "group": "Ungrouped variables", "definition": "random(-13..0 except -j)", "description": "", "templateType": "anything", "can_override": false}, "j": {"name": "j", "group": "Ungrouped variables", "definition": "random(2..12 except [h])", "description": "", "templateType": "anything", "can_override": false}, "m": {"name": "m", "group": "Ungrouped variables", "definition": "random(2..12 except l)", "description": "", "templateType": "anything", "can_override": false}, "l": {"name": "l", "group": "Ungrouped variables", "definition": "random(2..12)", "description": "", "templateType": "anything", "can_override": false}, "n": {"name": "n", "group": "Ungrouped variables", "definition": "random(-12..12)", "description": "", "templateType": "anything", "can_override": false}, "q": {"name": "q", "group": "Ungrouped variables", "definition": "random(-12..-2)", "description": "", "templateType": "anything", "can_override": false}, "p": {"name": "p", "group": "Ungrouped variables", "definition": "random(-12..12 except[0,q])", "description": "", "templateType": "anything", "can_override": false}, "s": {"name": "s", "group": "Ungrouped variables", "definition": "random([-13,-11,-7,-5,-3,-2])", "description": "", "templateType": "anything", "can_override": false}, "r": {"name": "r", "group": "Ungrouped variables", "definition": "random(1..12)", "description": "", "templateType": "anything", "can_override": false}, "u": {"name": "u", "group": "Ungrouped variables", "definition": "random(-12..12 except 0)", "description": "", "templateType": "anything", "can_override": false}, "t": {"name": "t", "group": "Ungrouped variables", "definition": "random([13,11,7,5,3,2])", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": "100"}, "ungrouped_variables": ["a", "b", "c", "ans1", "d", "f", "g", "ans2", "h", "j", "k", "ans3", "l", "m", "n", "ans4", "p", "q", "r", "ans5", "s", "t", "u", "ans6"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\var{a}x+\\var{b}&lt;\\var{c}$,<br/>$x&lt;$ [[0]].</p>", "stepsPenalty": "1", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>L&oslash;ses som en likning, bortsett fra at du m&aring; snu ulikhetstegnet om du multipliserer eller dividerer med et negativt tall.&nbsp;</p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">$\\var{a}x+\\var{b}$</td>\n<td>$&lt;$</td>\n<td style=\"text-align: left;\">$\\var{c}$&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\var{a}x+\\var{b}-\\var{b}$</td>\n<td>$&lt;$</td>\n<td style=\"text-align: left;\">$\\var{c}-\\var{b}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\var{a}x$</td>\n<td>$&lt;$</td>\n<td style=\"text-align: left;\">$\\var{c-b}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{\\frac{\\var{a}x}{\\var{a}}}$&nbsp;</td>\n<td>$&lt;$</td>\n<td style=\"text-align: left;\">$\\displaystyle{\\frac{\\var{c-b}}{\\var{a}}}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$x$</td>\n<td>$&lt;$</td>\n<td style=\"text-align: left;\">$\\displaystyle{\\simplify{{c-b}/{a}}}$</td>\n</tr>\n</tbody>\n</table>"}], "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{c-b}/{a}", "maxValue": "{c-b}/{a}", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\var{d}-\\var{f}y\\le\\var{g}$,</p>\n<p>$y\\ge$ [[0]].</p>", "stepsPenalty": "1", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>L&oslash;ses som en likning, bortsett fra at du m&aring; snu ulikhetstegnet om du multipliserer eller dividerer med et negativt tall.&nbsp;</p>\n<p></p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">$\\var{d}-\\var{f}y$</td>\n<td>$\\le$</td>\n<td style=\"text-align: left;\">$\\var{g}$&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\var{d}-\\var{f}y-\\var{d}$</td>\n<td>$\\le$</td>\n<td style=\"text-align: left;\">$\\var{g}-\\var{d}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$-\\var{f}y$</td>\n<td>$\\le$</td>\n<td style=\"text-align: left;\">$\\var{g-d}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{\\frac{\\var{-f}y}{\\var{-f}}}$&nbsp;</td>\n<td>$\\ge$</td>\n<td style=\"text-align: left;\">$\\displaystyle{\\frac{\\var{g-d}}{\\var{-f}}}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$y$</td>\n<td>$\\ge$</td>\n<td style=\"text-align: left;\">$\\displaystyle{\\simplify{{g-d}/{-f}}}$</td>\n</tr>\n</tbody>\n</table>"}], "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{d-g}/{f}", "maxValue": "{d-g}/{f}", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\displaystyle{-\\frac{z}{\\var{h}}}-\\var{j}&lt;\\var{k}$,</p>\n<p>$z&gt;$&nbsp;[[0]]</p>", "stepsPenalty": "1", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>L&oslash;ses som en likning, bortsett fra at du m&aring; snu ulikhetstegnet om du multipliserer eller dividerer med et negativt tall.&nbsp;</p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{-\\frac{z}{\\var{h}}}-\\var{j}$</td>\n<td>$&lt;$</td>\n<td style=\"text-align: left;\">$\\var{k}$&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{-\\frac{z}{\\var{h}}}-\\var{j}+\\var{j}$</td>\n<td>$&lt;$</td>\n<td style=\"text-align: left;\">$\\var{k}+\\var{j}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{-\\frac{z}{\\var{h}}}$</td>\n<td>$&lt;$</td>\n<td style=\"text-align: left;\">$\\var{k+j}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{-\\frac{z}{\\var{h}}\\times\\var{h}}$&nbsp;</td>\n<td>$&lt;$</td>\n<td style=\"text-align: left;\">$\\var{k+j}\\times \\var{h}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$-z$</td>\n<td>$&lt;$</td>\n<td style=\"text-align: left;\">$\\var{-ans3}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$z$</td>\n<td style=\"text-align: center;\">$&gt;$</td>\n<td style=\"text-align: left;\">$\\var{ans3}$</td>\n</tr>\n</tbody>\n</table>"}], "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{ans3}", "maxValue": "{ans3}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\displaystyle{\\frac{a-\\var{l}}{\\var{m}}}\\le\\var{n}$ ,</p>\n<p>$a\\le$&nbsp;[[0]]</p>", "stepsPenalty": "1", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>L&oslash;ses som en likning, bortsett fra at du m&aring; snu ulikhetstegnet om du multipliserer eller dividerer med et negativt tall.&nbsp;</p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{\\frac{a-\\var{l}}{\\var{m}}}$</td>\n<td>$\\le$</td>\n<td style=\"text-align: left;\">$\\var{n}$&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{\\frac{a-\\var{l}}{\\var{m}}}\\times \\var{m}$</td>\n<td>$\\le$</td>\n<td style=\"text-align: left;\">$\\var{n}\\times\\var{m}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$a-\\var{l}$</td>\n<td>$\\le$</td>\n<td style=\"text-align: left;\">$\\var{n*m}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$a-\\var{l}+\\var{l}$&nbsp;</td>\n<td>$\\le$</td>\n<td style=\"text-align: left;\">$\\var{n*m}+\\var{l}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$a$</td>\n<td>$\\le$</td>\n<td style=\"text-align: left;\">$\\var{ans4}$</td>\n</tr>\n</tbody>\n</table>"}], "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{ans4}", "maxValue": "{ans4}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\var{p}&gt;\\var{q}(\\var{r}+b)$.</p>\n<p>$b&gt;$&nbsp;[[0]]</p>", "stepsPenalty": "1", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>L&oslash;ses som en likning, bortsett fra at du m&aring; snu ulikhetstegnet om du multipliserer eller dividerer med et negativt tall.&nbsp;</p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">$\\var{p}$</td>\n<td>$&gt;$</td>\n<td style=\"text-align: left;\">$\\var{q}(\\var{r}+b)$&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{\\frac{\\var{p}}{\\var{q}}}$</td>\n<td>$&lt;$</td>\n<td style=\"text-align: left;\">$\\displaystyle{\\frac{\\var{q}(\\var{r}+b)}{\\var{q}}}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{\\simplify{{p}/{q}}}$</td>\n<td>$&lt;$</td>\n<td style=\"text-align: left;\">$\\var{r}+b$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{\\simplify{{p}/{q}}}-\\var{r}$&nbsp;</td>\n<td>$&lt;$</td>\n<td style=\"text-align: left;\">$\\var{r}+b-\\var{r}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{\\simplify{{p-r*q}/{q}}}$</td>\n<td>$&lt;$</td>\n<td style=\"text-align: left;\">$b$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$b$</td>\n<td>$&gt;$</td>\n<td style=\"text-align: left;\">$\\displaystyle{\\simplify{{p-r*q}/{q}}}$</td>\n</tr>\n</tbody>\n</table>"}], "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{p-r*q}/{q}", "maxValue": "{p-r*q}/{q}", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\displaystyle{\\frac{\\var{s}w}{\\var{t}}}\\ge\\var{u}$.</p>\n<p>$w\\le$&nbsp;[[0]]</p>", "stepsPenalty": "1", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>L&oslash;ses som en likning, bortsett fra at du m&aring; snu ulikhetstegnet om du multipliserer eller dividerer med et negativt tall.&nbsp;</p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{\\frac{\\var{s}w}{\\var{t}}}$</td>\n<td>$\\ge$</td>\n<td style=\"text-align: left;\">$\\var{u}$&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{\\frac{\\var{s}w}{\\var{t}}}\\times\\var{t}$</td>\n<td>$\\ge$</td>\n<td style=\"text-align: left;\">$\\var{u}\\times\\var{t}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\var{s}w$</td>\n<td>$\\ge$</td>\n<td style=\"text-align: left;\">$\\var{u*t}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle{\\frac{\\var{s}w}{\\var{s}}}$&nbsp;</td>\n<td>$\\le$</td>\n<td style=\"text-align: left;\">$\\displaystyle{\\frac{\\var{u*t}}{\\var{s}}}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td></td>\n<td style=\"text-align: left;\">&nbsp;</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$w$</td>\n<td>$\\le$</td>\n<td style=\"text-align: left;\">$\\displaystyle{\\simplify{{u*t}/{s}}}$</td>\n</tr>\n</tbody>\n</table>"}], "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{u*t}/{s}", "maxValue": "{u*t}/{s}", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Ulikheter: Doble line\u00e6re", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Torris Bakke", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/942/"}], "tags": ["algebra", "Algebra", "balancing equations", "inequalities", "inequality", "inequation", "inequations", "Linear equations", "linear equations", "rearranging equations", "solving equations", "Solving equations", "two step equations"], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<h4>Der svaret ikke er et helt tall skal du svare med br&oslash;k. Eksempel: Bruk 1/2 i stedet for 0,5, 3/2 i stedet for 1,5 osv.</h4>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(2..12)", "description": "", "templateType": "anything", "can_override": false}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "random(2..12)", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(-12..12 except [-1,0,1])", "description": "", "templateType": "anything", "can_override": false}, "right_bc": {"name": "right_bc", "group": "Ungrouped variables", "definition": "left_bc+random(2..10)", "description": "", "templateType": "anything", "can_override": false}, "right_bb": {"name": "right_bb", "group": "Ungrouped variables", "definition": "left_bb+random(2..10)", "description": "", "templateType": "anything", "can_override": false}, "right_ba": {"name": "right_ba", "group": "Ungrouped variables", "definition": "left_ba+random(2..10)", "description": "", "templateType": "anything", "can_override": false}, "bright": {"name": "bright", "group": "Ungrouped variables", "definition": "right_bb*c", "description": "", "templateType": "anything", "can_override": false}, "bleft": {"name": "bleft", "group": "Ungrouped variables", "definition": "left_bb*c", "description": "", "templateType": "anything", "can_override": false}, "left_bc": {"name": "left_bc", "group": "Ungrouped variables", "definition": "random(-12..2)", "description": "", "templateType": "anything", "can_override": false}, "left_bb": {"name": "left_bb", "group": "Ungrouped variables", "definition": "random(-12..2)", "description": "", "templateType": "anything", "can_override": false}, "left_ba": {"name": "left_ba", "group": "Ungrouped variables", "definition": "random(-12..2)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": "100"}, "ungrouped_variables": ["a", "b", "c", "left_ba", "right_ba", "left_bb", "right_bb", "left_bc", "right_bc", "bleft", "bright"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Gitt at $x&gt;\\var{left_ba}$ og $x&lt;\\var{right_ba}$. Det kan skrives som [[0]] $&lt;x&lt;$&nbsp;[[1]].</p>", "stepsPenalty": "1", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\var{left_ba} &lt;x&lt; \\var{right_ba}$ betyr at $\\var{left_ba} &lt;x$&nbsp;<strong>og</strong> $x&lt; \\var{right_ba}$. Det kan leses som \"$x$ er mellom $\\var{left_ba}$ og $\\var{right_ba}$\".</p>"}], "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{left_ba}", "maxValue": "{left_ba}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["si-fr", "eu", "plain-eu"], "correctAnswerStyle": "si-fr"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{right_ba}", "maxValue": "{right_ba}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["si-fr", "eu", "plain-eu"], "correctAnswerStyle": "si-fr"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Gitt ulikheten $\\var{left_bb}&lt;\\frac{x}{\\var{c}}&lt;\\var{right_bb}$. L&oslash;ser vi den for $x$ f&aring;r vi [[0]]$&lt;x&lt;$&nbsp;[[1]].</p>", "stepsPenalty": "1", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Vi l&oslash;ser p&aring; samme m&aring;te som enkle ulikheter, men pass p&aring; &aring; gj&oslash;re det samme p&aring;&nbsp;<em>alle</em> sider av ulikhetstegnene. M&aring;let er &aring; f&aring; $x$ alene i midten.</p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">$\\var{left_bb}$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: center;\">$\\displaystyle \\frac{x}{\\var{c}}$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: left;\">$\\var{right_bb}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\var{left_bb}\\times \\var{c}$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: center;\">$\\displaystyle \\frac{x}{\\var{c}}\\times \\var{c}$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: left;\">$\\var{right_bb}\\times \\var{c}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td style=\"text-align: center;\">&nbsp;</td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\var{bleft}$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: center;\">$x$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: left;\">$\\var{bright}$</td>\n</tr>\n</tbody>\n</table>\n<p></p>"}], "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{bleft}", "maxValue": "{bleft}", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": false, "notationStyles": ["si-fr", "eu", "plain-eu"], "correctAnswerStyle": "si-fr"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{bright}", "maxValue": "{bright}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["si-fr", "eu", "plain-eu"], "correctAnswerStyle": "si-fr"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Gitt $\\var{left_bc}&lt;\\frac{\\simplify{{a}x+{b}}}{\\var{c}}&lt;\\var{right_bc}$. L&oslash;sning for $x$ gir [[0]]$&lt;x&lt;$&nbsp;[[1]].</p>", "stepsPenalty": "1", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Vi l&oslash;ser p&aring; samme m&aring;te som enkle ulikheter, men pass p&aring; &aring; gj&oslash;re det samme p&aring;&nbsp;<em>alle</em> sider av ulikhetstegnene. M&aring;let er &aring; f&aring; $x$ alene i midten.Solving inequalities is similar to solving equations, ensure you do the same thing to <em>all</em> sides. Note that the operations we do are to get $x$ by itself.</p>\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">$\\var{left_bc}$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: center;\">$\\displaystyle \\frac{\\simplify{{a}x+{b}}}{\\var{c}}$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: left;\">$\\var{right_bc}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">&nbsp;</td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\">&nbsp;</td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\var{left_bc}\\times \\var{c}$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: center;\">$\\displaystyle \\frac{\\simplify{{a}x+{b}}}{\\var{c}}\\times \\var{c}$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: left;\">$\\var{right_bc}\\times \\var{c}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td style=\"text-align: center;\">&nbsp;</td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\">&nbsp;</td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\var{left_bc*c}$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: center;\">$\\simplify{{a}x+{b}}$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: left;\">$\\var{right_bc*c}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\">&nbsp;</td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\simplify[basic]{{left_bc*c}-{b}}$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: center;\">$\\simplify[basic]{{a}x+{b}-{b}}$</td>\n<td style=\"text-align: center;\">&nbsp;$&lt;$</td>\n<td style=\"text-align: left;\">$\\simplify[basic]{{right_bc*c}-{b}}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\">&nbsp;</td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\var{left_bc*c-b}$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: center;\">$\\var{a}x$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: left;\">$\\var{right_bc*c-b}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\">&nbsp;</td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle\\frac{\\var{left_bc*c-b}}{\\var{a}}$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: center;\">$\\displaystyle\\frac{\\var{a}x}{\\var{a}}$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: left;\">$\\displaystyle\\frac{\\var{right_bc*c-b}}{\\var{a}}$</td>\n</tr>\n<tr>\n<td style=\"text-align: right;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\">&nbsp;</td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: left;\"></td>\n</tr>\n<tr>\n<td style=\"text-align: right;\">$\\displaystyle\\simplify{{left_bc*c-b}/{a}}$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: center;\">$x$</td>\n<td style=\"text-align: center;\">$&lt;$</td>\n<td style=\"text-align: left;\">$\\displaystyle\\simplify{{right_bc*c-b}/{a}}$</td>\n</tr>\n</tbody>\n</table>\n<p></p>"}], "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, 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