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6.](https://assets.mathsgenie.co.uk/booklet/3c314d2f18779c5a6ba9d3f47d89d40a9e2d26ec89c97e0386f2e8c6e5a5c5b0.jpg)","difficulty":1,"difficultyBand":null,"totalMarks":3,"sourceTitle":"Inequalities on Graphs","calculatorUse":null,"isCalculation":false,"parts":[{"id":"2b7eee88-2421-4393-b075-faf7152aafe9","label":"","content":"On the grid shade the region that satisfies all these inequalities\n\n$$x < 3$$\n\n$$y > -2$$\n\n$$y \\leq 2x - 1$$\n\nLabel the region **R**.","markscheme":"- Draws the line $y = 2x - 1$ (solid) and $x = 3$ (dashed) and $y = -2$ (dashed). 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B1\n\n![Solution](img:6f1efa91fb9b476380af7a35db4f14bf_img.jpg)","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Draws at least two of the boundary lines correctly ($x=3$, $y=-2$, or $y=2x-1$).","code":"M"},{"id":"p2","marks":1,"description":"Correctly shades the region bounded by all three lines.","code":"A"},{"id":"p3","marks":1,"description":"Labels the correct region with 'R'.","code":"B"}],"finalAnswers":[],"generatedAt":"2026-05-07T02:02:03.945Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"c5f57bcf-8f2a-4b85-b702-5e882ec29a9a","revisionId":"3563b99d-7ae0-4cc2-bbe1-5a3f59d2efb6","questionNumber":"5","questionType":"LA","specification":"![A coordinate grid with x and y axes ranging from -6 to 6.](https://assets.mathsgenie.co.uk/booklet/5a68cfd48d630bd22c77830ebfab8c22c475edb13b48e54b5ececfe7c8dcdaa8.jpg)","difficulty":1,"difficultyBand":null,"totalMarks":3,"sourceTitle":"Inequalities on Graphs","calculatorUse":null,"isCalculation":false,"parts":[{"id":"bc22baee-2162-4453-8c19-6049764f8c0f","label":"","content":"On the grid shade the region that satisfies all these inequalities\n\n$$x + y < 4$$\n\n$$y > 2x + 1$$\n\n$$y > -1$$\n\nLabel the region **R**.","markscheme":"- Draws the lines $x + y = 4$, $y = 2x + 1$, and $y = -1$ (all dashed). M1\n- Correct region shaded. A1\n- Region labeled **R**. B1\n\n![Solution](img:e1dda754c2c88a8ad0b968aea4fc0786_img.jpg)","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Draws at least two of the boundary lines correctly.","code":"M"},{"id":"p2","marks":1,"description":"Correctly shades the region bounded by all three lines.","code":"A"},{"id":"p3","marks":1,"description":"Labels the correct region with 'R'.","code":"B"}],"finalAnswers":[],"generatedAt":"2026-05-07T02:02:03.945Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"8433562a-0587-4912-a6dc-666bb5a2d4f7","revisionId":"2f24cd52-af1a-45e4-9607-d4be928f96e5","questionNumber":"6","questionType":"LA","specification":"![A coordinate grid with x and y axes ranging from -8 to 8.](https://assets.mathsgenie.co.uk/booklet/5aea3a441f3c1427660c26c2b50f96ce0c9e96506b3c8020d81eb1ed150e9596.jpg)","difficulty":1,"difficultyBand":null,"totalMarks":3,"sourceTitle":"Inequalities on Graphs","calculatorUse":null,"isCalculation":false,"parts":[{"id":"94f90889-538b-4b31-8ca2-0628d8447acd","label":"","content":"On the grid shade the region that satisfies all these inequalities\n\n$$y \\geq x - 1$$\n\n$$x \\leq 6 - 2y$$\n\n$$x \\geq -3$$\n\nLabel the region **R**.","markscheme":"- Draws the lines $y = x - 1$, $x + 2y = 6$, and $x = -3$ (all solid). M1\n- Correct region shaded. A1\n- Region labeled **R**. B1\n\n![Solution](img:84e2ac543ffc4145dc85b05a48ec62e3_img.jpg)","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Draws at least two of the boundary lines correctly.","code":"M"},{"id":"p2","marks":1,"description":"Correctly shades the region bounded by all three lines.","code":"A"},{"id":"p3","marks":1,"description":"Labels the correct region with 'R'.","code":"B"}],"finalAnswers":[],"generatedAt":"2026-05-07T02:02:03.945Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null}],"subjectCode":"igcse_maths","summaries":[{"id":"dc65d8b4-2df9-4b14-bc07-efb7cc658bf3","difficultyBand":null,"calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"c5f57bcf-8f2a-4b85-b702-5e882ec29a9a","difficultyBand":null,"calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"8433562a-0587-4912-a6dc-666bb5a2d4f7","difficultyBand":null,"calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":false},{"id":"8cd1b9d2-e557-4a9d-9baf-752f8ef39df1","difficultyBand":null,"calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":false}],"title":"Inequalities on Graphs","topicId":"315f2cc0-3149-473f-8c53-e5da00fbdc70","topicSidebar":"$L3a","topicSlug":"grade-6-6-9-inequalities-on-graphs","topicTitle":"Inequalities on Graphs"}]}],"$L3b","$L3c"]}]