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{"name": "Math 3 Absolute Value Inequalities -- \">=\" -- A>0", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "name": "Math 3 Absolute Value Inequalities -- \">=\" -- A>0", "metadata": {"description": "", "licence": "All rights reserved"}, "ungrouped_variables": ["A", "f", "B", "C", "D", "RHS", "solnLeft", "solnRight"], "advice": "", "rulesets": {}, "variables": {"solnLeft": {"description": "", "name": "solnLeft", "definition": "-RHS-B", "group": "Ungrouped variables", "templateType": "anything"}, "solnRight": {"description": "", "name": "solnRight", "definition": "RHS-B", "group": "Ungrouped variables", "templateType": "anything"}, "f": {"description": "", "name": "f", "definition": "random(1..10)", "group": "Ungrouped variables", "templateType": "anything"}, "B": {"description": "", "name": "B", "definition": "random(-20..20)", "group": "Ungrouped variables", "templateType": "anything"}, "D": {"description": "", "name": "D", "definition": "C+f*A", "group": "Ungrouped variables", "templateType": "anything"}, "A": {"description": "", "name": "A", "definition": "random(1..15)", "group": "Ungrouped variables", "templateType": "anything"}, "RHS": {"description": "", "name": "RHS", "definition": "(D-C)/A", "group": "Ungrouped variables", "templateType": "anything"}, "C": {"description": "", "name": "C", "definition": "random(-15..15)", "group": "Ungrouped variables", "templateType": "anything"}}, "extensions": [], "parts": [{"customName": "", "unitTests": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "useCustomName": false, "extendBaseMarkingAlgorithm": true, "answer": "x<={solnLeft} or x>={solnRight}", "prompt": "<p>Write the compound inequality for your solution.</p>", "marks": 1, "adaptiveMarkingPenalty": 0, "matchMode": "exact", "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "scripts": {}, "variableReplacements": [], "displayAnswer": "", "type": "patternmatch"}, {"customName": "", "unitTests": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "useCustomName": false, "extendBaseMarkingAlgorithm": true, "answer": "(-inf,{solnLeft}]U[{solnRight},inf)", "prompt": "<p>Write your solution in interval notation.</p>", "marks": 1, "adaptiveMarkingPenalty": 0, "matchMode": "exact", "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "scripts": {}, "variableReplacements": [], "displayAnswer": "(-inf,{solnLeft}]U[{solnRight},inf)", "type": "patternmatch"}], "preamble": {"js": "", "css": ""}, "statement": "<p>Solve the inequality.&nbsp; Graph your solution on the number line (on your paper).&nbsp; Write your solution in interval notation, if possible.</p>\n<p>GIVEN:</p>\n<p>$\\simplify{ {A}*abs(x+{B}) + {C} &gt;= {D}}$</p>", "tags": [], "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}]}], "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}