// Numbas version: exam_results_page_options
{"name": "Union og snitt av diskrete mengder", "extensions": [], "custom_part_types": [], "resources": [["question-resources/RcupS.PNG", "/srv/numbas/media/question-resources/RcupS.PNG"], ["question-resources/RcapS.PNG", "/srv/numbas/media/question-resources/RcapS.PNG"], ["question-resources/RminusS.PNG", "/srv/numbas/media/question-resources/RminusS.PNG"], ["question-resources/SminusR.PNG", "/srv/numbas/media/question-resources/SminusR.PNG"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Union og snitt av diskrete mengder", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>La $R=\\{\\var{a},\\var{b},\\var{c},\\var{d}\\}$ og&nbsp;$S=\\{\\var{b},\\var{c},\\var{d},\\var{f}\\}$.</p>", "advice": "<p>Oppgave a)&nbsp;<span class=\"textLayer--absolute\">$R\\cap S$</span><span class=\"textLayer--absolute\">: Her leses symbolet $\\cap$ som snitt, det er alts&aring; snakk bare det som ligger i begge mengdene. Dersom noe ligger i bare en av mengdene skal det alts&aring; ikke tas med.</span></p>\n<p><span class=\"textLayer--absolute\">$R=\\{\\var{a},\\var{b},\\var{c},\\var{d}\\}$</span></p>\n<p><span class=\"textLayer--absolute\">$S=\\{\\var{b},\\var{c},\\var{d},\\var{f}\\}$</span></p>\n<p><span class=\"textLayer--absolute\">$R\\cap S=\\{\\var{b},\\var{c}\\}$</span></p>\n<p><span class=\"textLayer--absolute\"><img src=\"resources/question-resources/RcupS.PNG\"/></span></p>\n<p><span class=\"textLayer--absolute\">Oppgave b)&nbsp;$R\\cup S$:Husk at du kan tenke p&aring; $\\cup$ som addisjon. Vi &oslash;nsker &aring; legge sammen alle elementene i $R$ og $S$. NB:husk at i en mengde er alle elementene unike s&aring; vi skriver ikke ett element mer enn &egrave;n gang.</span></p>\n<p><span class=\"textLayer--absolute\">$R=\\{\\var{a},\\var{b},\\var{c},\\var{d}\\}$</span></p>\n<p><span class=\"textLayer--absolute\">$S=\\{\\var{b},\\var{c},\\var{d},\\var{f}\\}$</span></p>\n<p><span class=\"textLayer--absolute\">$R\\cup S=\\{\\var{a},\\var{b},\\var{c},\\var{d},\\var{f}\\}$</span></p>\n<p><span class=\"textLayer--absolute\"><img src=\"resources/question-resources/RcapS.PNG\"/></span></p>\n<p><span class=\"textLayer--absolute\">Oppgave c) $R\\setminus S$:&nbsp;Her leses $\\setminus$ som komplimentet til. Dette kan en litt feilaktig tenke p&aring; som subtraksjon eller minus. Vi &oslash;nsker med andre ord alt som ligger i&nbsp;$R$&nbsp;men ikke i $S$:</span></p>\n<p><span class=\"textLayer--absolute\">$R=\\{\\var{a},\\var{b},\\var{c},\\var{d}\\}$</span></p>\n<p><span class=\"textLayer--absolute\">$S=\\{\\var{b},\\var{c},\\var{d},\\var{f}\\}$</span></p>\n<p><span class=\"textLayer--absolute\">$R\\setminus S=\\{\\var{a}\\}$</span></p>\n<p><span class=\"textLayer--absolute\"><img src=\"resources/question-resources/RminusS.PNG\"/></span></p>\n<p><span class=\"textLayer--absolute\">Oppgave d)&nbsp;&nbsp;$S\\setminus R$:&nbsp;Her leses $\\setminus$ som komplimentet til. Dette kan en litt feilaktig tenke p&aring; som subtraksjon eller minus. Vi &oslash;nsker med andre ord alt som ligger i&nbsp;$S$&nbsp;men ikke i $R$:</span></p>\n<p><span class=\"textLayer--absolute\">$R=\\{\\var{a},\\var{b},\\var{c},\\var{d}\\}$</span></p>\n<p><span class=\"textLayer--absolute\">$S=\\{\\var{b},\\var{c},\\var{d},\\var{f}\\}$</span></p>\n<p><span class=\"textLayer--absolute\">$S\\setminus R=\\{\\var{f}\\}$</span></p>\n<p><span class=\"textLayer--absolute\"><img src=\"resources/question-resources/SminusR.PNG\"/></span></p>", "rulesets": {}, "extensions": [], "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(1 .. 3#1)", "description": "", "templateType": "randrange"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(4 .. 6#1)", "description": "", "templateType": "randrange"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "random(7 .. 9#1)", "description": "", "templateType": "randrange"}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "random(10 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"caseSensitive": false, "valuegenerators": []}], "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>Finn $R\\cup S=\\{$[[0]],[[1]],[[2]],[[3]],[[4]]$\\}$</p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{a}", "showPreview": true, 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