"M"},{"id":"p2","marks":1,"description":"Final answer $n < 7$.","code":"A"}],"finalAnswers":["n < 7"],"generatedAt":"2026-05-07T01:51:05.704Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"solve_inequality","label":"Solve the inequality","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\htmlData{anchor=orig}{3(n+1)<24}$"},{"latex":"$$\\htmlData{anchor=simp}{n+1<8}$"}],"connections":[{"to":"simp","from":"orig","color":"sky","label":"divide by 3"}]},"order":0,"title":"Divide by 3","description":"M1: Divide both sides by 3 to obtain the displayed simplified inequality. Since 3 is positive, the inequality sign does not reverse."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\htmlData{anchor=simp2}{n+1<8}$"},{"latex":"$$\\htmlData{anchor=answer}{n<7}$"}],"connections":[{"to":"answer","from":"simp2","color":"orange","label":"subtract 1"}]},"order":1,"title":"Subtract 1","description":"Subtract 1 from both sides to isolate n. The displayed final result earns A1."}]}],"generatedAt":"2026-07-21T04:03:49.457Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"ee228a52-2e44-4b14-a3c4-f3d6a2eda401","revisionId":"415885bd-f790-48ac-9d23-e717e9297476","questionNumber":"16","questionType":"LA","specification":"","difficulty":2,"difficultyBand":null,"totalMarks":2,"sourceTitle":"Inequalities","calculatorUse":null,"parts":[{"id":"e4bf8a0a-159c-4f42-9c97-b1036e538b33","label":"0","content":"Solve $4(2x + 1) > 9$","markscheme":"- Expands brackets: $8x + 4 > 9$ M1\n- Final answer $x > \\frac{5}{8}$ or $x > 0.625$ A1","marks":2,"order":0,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Correctly expands the bracket to $8x + 4 > 9$.","code":"M"},{"id":"p2","marks":1,"description":"Final answer $x > \\frac{5}{8}$ or $0.625$.","code":"A"}],"finalAnswers":["x > \\frac{5}{8}"],"generatedAt":"2026-05-07T01:51:05.704Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"expand_then_solve","label":"Expand then solve","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=start}{4(2x+1)>9}"},{"latex":"\\htmlData{anchor=expanded}{8x+4>9}"}],"connections":[{"to":"expanded","from":"start","color":"sky","label":"expand brackets","style":"solid"}]},"order":0,"title":"Expand the brackets","description":"Multiply 4 by both terms. This earns the M1 mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=start}{8x+4>9}"},{"latex":"\\htmlData{anchor=result}{8x>5}"}],"connections":[{"to":"result","from":"start","color":"orange","label":"subtract 4 from both sides","style":"solid"}]},"order":1,"title":"Subtract 4","description":"Subtract 4 from both sides."},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=start}{8x>5}"},{"latex":"\\htmlData{anchor=result}{x>\\frac{5}{8}}"}],"connections":[{"to":"result","from":"start","color":"green","label":"divide both sides by positive 8","style":"solid"}]},"order":2,"title":"Divide by 8","description":"Divide both sides by positive 8, so the inequality sign stays the same way round. Therefore, the answer earns the A1 mark."}]}],"generatedAt":"2026-07-21T04:04:18.876Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":71,"sampleSize":21}}],"initialQuestions":null,"initialView":"runner","intro":"$L3e","subjectCode":"igcse_maths__oxford_aqa","summaries":[{"id":"aa8d4393-fc5e-4220-ad3d-b86a63ad931d","difficultyBand":null,"calculatorUse":null},{"id":"298c67a6-9eb9-4144-8bd1-2f71320450a1","difficultyBand":null,"calculatorUse":null},{"id":"2f92c5c1-a00a-40c6-9d59-dd2b6d7784c2","difficultyBand":null,"calculatorUse":null},{"id":"7e4e5917-df6d-4964-9337-add497b9d941","difficultyBand":null,"calculatorUse":null},{"id":"3ddbda52-20b1-4357-a304-6ad58434bcd8","difficultyBand":null,"calculatorUse":null},{"id":"bd408d61-7217-4e68-b38b-8e5c128ff5e3","difficultyBand":null,"cal

Inequalities Questions

Inequalities Questions

Inequalities Questions

Inequalities Questions