no fractional part; it can be negative, zero or positive. So, after solving the inequality, list only the integer values strictly between the two bounds.","highlights":[{"text":"$$n$ is an integer","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=original}{-3<2n<6}"},{"latex":"\\htmlData{anchor=divided}{\\frac{-3}{2}<\\frac{2n}{2}<\\frac{6}{2}}"},{"latex":"\\htmlData{anchor=result}{-1.5M1\n- Final answer $n < 7$ A1","marks":2,"order":0,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Correctly expands the bracket or divides both sides by 3.","code":"M"},{"id":"p2","marks":1,"description":"Final answer $n < 7$.","code":"A"}],"finalAnswers":["n < 7"],"generatedAt":"2026-05-07T01:51:05.704Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"solve_inequality","label":"Solve the inequality","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\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 > \\

Inequalities Questions

Inequalities Questions

Inequalities Questions

Inequalities Questions