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$3$.","code":"A"}],"finalAnswers":["-2, -1, 0, 1, 2, 3"],"generatedAt":"2026-05-07T01:51:05.704Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"divide_then_list","label":"Divide then list integers","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\htmlData{anchor=original}{-8<\\color{@sky}{3n}<10}$"},{"latex":"$$\\htmlData{anchor=divided}{-\\dfrac{8}{3} 12$","markscheme":"- Expands brackets: $6n - 10 > 12$ or divides by 2: $3n - 5 > 6$ M1\n- Final answer $n > \\frac{22}{6}$ or $n > \\frac{11}{3}$ or $n > 3.66...$ A1","marks":2,"order":0,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Correctly expands the bracket or divides both sides by 2.","code":"M"},{"id":"p2","marks":1,"description":"Final answer $n > \\frac{11}{3}$ or equivalent.","code":"A"}],"finalAnswers":["n > \\frac{11}{3}"],"generatedAt":"2026-05-07T01:51:05.704Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":68},"walkthroughVideo":null},{"id":"3ddbda52-20b1-4357-a304-6ad58434bcd8","revisionId":"f4cae53f-f9f0-4c49-a085-9523ee2b0128","questionNumber":"14","questionType":"LA","specification":"","difficulty":2,"difficultyBand":"easy","totalMarks":2,"sourceTitle":"Inequalities","calculatorUse":null,"isCalculation":false,"parts":[{"id":"4ebea46a-a171-463e-950f-23e9b386ae8f","label":"0","content":"$$n$ is an integer such that $-3 < 2n < 6$\nWrite down all the possible values of $n$.","markscheme":"- Divides by 2: $-1.5 < n < 3$ M1\n- Lists $-1, 0, 1, 2$ A1","marks":2,"order":0,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Divides the inequality by 2 to find boundaries $-1.5$ and $3$.","code":"M"},{"id":"p2","marks":1,"description":"Lists integers $-1, 0, 1, 2$.","code":"A"}],"finalAnswers":["-1, 0, 1, 2"],"generatedAt":"2026-05-07T01:51:05.704Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"divide_then_list","label":"Divide then list","steps":[{"type":"text","order":0,"title":"Understand the integer condition","content":"An integer is a number with no fractional part; it can be negative, zero or positive. So, after solving the inequality, list only the integer values strictly between the two bounds.","highlights":[{"text":"$$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}{-1.5

Inequalities

Question 4

Inequalities Questions

Inequalities

Question 4

Inequalities Questions