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"definition": "if({kx2*a12[1] + ky2*b12[1] >\u2004a2,1,0)", "description": "", "templateType": "anything", "can_override": false}, "s221": {"name": "s221", "group": "Ungrouped variables", "definition": "if({kx2*a12[2] + ky2*b12[2] >\u2004a2,1,0)", "description": "", "templateType": "anything", "can_override": false}, "s331": {"name": "s331", "group": "Ungrouped variables", "definition": "if({kx2*a12[3] + ky2*b12[3] >\u2004a2,1,0)", "description": "", "templateType": "anything", "can_override": false}, "s441": {"name": "s441", "group": "Ungrouped variables", "definition": "if({kx2*a12[4] + ky2*b12[4] >\u2004a2,1,0)", "description": "", "templateType": "anything", "can_override": false}, "s0": {"name": "s0", "group": "Ungrouped variables", "definition": "if(s000+s001=2,1,0)", "description": "", "templateType": "anything", "can_override": false}, "s1": {"name": "s1", "group": "Ungrouped variables", "definition": "if(s110+s111=2,1,0)", "description": "", "templateType": "anything", 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"extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Which of the following values of $X,Y$ statisfy the constraint</p>\n<p>($\\simplify{{kx1}X + {ky1}Y &lt;\u2004{a1}}$) $\\land$ \u2005($\\simplify{{kx2}X + {ky2}Y\u2004&gt;\u2004{a2}}$) ?</p>\n<p></p>\n<p>(<em>Put</em> $ 1$ <em>for</em> \"Yes\" <em>and&nbsp;</em> $ 0$ <em>for</em> \"No\")</p>\n<p>a) $X\u2004=\u2004\\var{a12[0]}, Y\u2004=\u2004\\var{b12[0]} $ &nbsp; [[0]]</p>\n<p>b) $X\u2004=\u2004\\var{a12[1]}, Y\u2004=\u2004\\var{b12[1]} $&nbsp; [[1]]</p>\n<p>c) $X\u2004=\u2004\\var{a12[2]}, Y\u2004=\u2004\\var{b12[2]} $ &nbsp; [[2]]</p>\n<p>d) $X\u2004=\u2004\\var{a12[3]}, Y\u2004=\u2004\\var{b12[3]} $ &nbsp; [[3]]</p>\n<p>e) $X\u2004=\u2004\\var{a12[4]}, Y\u2004=\u2004\\var{b12[4]} $ &nbsp; 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