],"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},{"id":"8cd1b9d2-e557-4a9d-9baf-752f8ef39df1","revisionId":"ea376248-f93f-4773-86e2-56b71fc9ddd7","questionNumber":"7","questionType":"LA","specification":"The graphs of the straight lines with equations $y = 2x + 1$ and $3y + 2x = 12$ have been drawn on the grid.\n\n![A coordinate grid with x and y axes ranging from -6 to 6. Two straight lines are plotted: y = 2x + 1 and 3y + 2x = 12.](https://assets.mathsgenie.co.uk/booklet/068136fbbeba4165b4f1c413bb9df1ec94b28517ff0d2092d17fe669f3a026fc.jpg)\n\n$x$ and $y$ are both integers.","difficulty":1,"difficultyBand":null,"totalMarks":2,"sourceTitle":"Inequalities on Graphs","calculatorUse":null,"isCalculation":false,"parts":[{"id":"6298cd13-8fca-4da0-81ac-88197682b62c","label":"","content":"Mark with a cross ($\\times$) all of the points that satisfies all the inequalities\n\n$$y < 2x + 1$$\n\n$$3y + 2x < 12$$\n\n$$y > 1$$","markscheme":"- Identifies the region bounded by the lines. M1\n- Marks the points $(1, 2)$ and $(2, 2)$ with crosses. A1\n\n![Solution](img:a71911ad87414271aeb190e0eebcb989_img.jpg)","marks":2,"order":0,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Identifies the correct region or at least one correct integer point.","code":"M"},{"id":"p2","marks":1,"description":"Correctly marks both $(1, 2)$ and $(2, 2)$ and no others.","code":"A"}],"finalAnswers":["(1, 2)","(2, 2)"],"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__oxford_aqa","summaries":[{"id":"dc65d8b4-2df9-4b14-bc07-efb7cc658bf3","difficultyBand":null,"calculatorUse":null,"totalMarks":3},{"id":"c5f57bcf-8f2a-4b85-b702-5e882ec29a9a","difficultyBand":null,"calculatorUse":null,"totalMarks":3},{"id":"8433562a-0587-4912-a6dc-666bb5a2d4f7","difficultyBand":null,"calculatorUse":null,"totalMarks":3},{"id":"8cd1b9d2-e557-4a9d-9baf-752f8ef39df1","difficultyBand":null,"calculatorUse":null,"totalMarks":2}],"title":"Inequalities on Graphs","topicId":"fe9a0f79-1220-406c-9a5f-470a6abb18b3","topicSidebar":"$L46","topicSlug":"grade-6-6-9-inequalities-on-graphs","topicTitle":"Inequalities on Graphs"}]}],"$L47","$L48"]}]

Inequalities on Graphs

Question 3

Inequalities on Graphs Questions

Inequalities on Graphs

Question 3

Inequalities on Graphs Questions