he integers greater than $-1$ and no greater than $3$.\n\nThe sign $<$ means $-1$ is **not** included. The sign $\\leq$ means $3$ **is** included.","highlights":[{"text":"$$-1 < n \\leq 3$ where $n$ is an integer.","location":"specification"}]},{"type":"text","order":1,"title":"List the integers","content":"The possible values are $$0,\n1,\n2,\n3.$$ \n\nThis complete list earns the **B2** mark.","highlights":[{"text":"Write down all the possible values of $n$.","location":"specification"}]}]}],"generatedAt":"2026-07-21T03:55:33.206Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]},{"id":"1ac4ce20-c609-44c0-86f7-a05184962ed1","label":"b","content":"Solve $2x - 5 > 8$","markscheme":"- Adds 5 to both sides: $2x > 13$ M1\n- Final answer $x > 6.5$ or $x > \\frac{13}{2}$ A1","marks":2,"order":1,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Adds 5 to 8 to get 13.","code":"M"},{"id":"p2","marks":1,"description":"Final answer $x > 6.5$ or equivalent fraction.","code":"A"}],"finalAnswers":["x > 6.5"],"generatedAt":"2026-05-07T01:51:05.704Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"solve_inequality","label":"Rearrange the inequality","steps":[{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\htmlData{anchor=start_inequality}{\\color{@sky}{2x-5>8}}$"},{"latex":"$$\\htmlData{anchor=result_inequality}{\\color{@sky}{2x>13}}$"}],"highlights":[{"color":"sky","anchor":"start_inequality"},{"color":"sky","anchor":"result_inequality"}],"connections":[{"to":"result_inequality","from":"start_inequality","color":"sky","label":"add 5 to both sides"}]},"order":1,"title":"Add five","description":"Add 5 to both sides to remove the -5 beside 2x. [M1]"},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\htmlData{anchor=before}{\\color{@sky}{2x>13}}$"},{"latex":"$$\\htmlData{anchor=after}{\\color{@green}{x>6.5}}$"}],"connections":[{"to":"after","from":"before","color":"green","label":"divide by 2"}]},"order":2,"title":"Divide by two","description":"Divide both sides by the positive number 2, so the inequality sign stays pointing the same way. This gives x > 6.5. [A1]"}]}],"generatedAt":"2026-07-21T04:00:40.149Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":58,"sampleSize":38}},{"id":"2f92c5c1-a00a-40c6-9d59-dd2b6d7784c2","revisionId":"5fc95f6e-3d17-4c9c-9e69-46c7deea4e09","questionNumber":"10","questionType":"LA","specification":"","difficulty":2,"difficultyBand":null,"totalMarks":2,"sourceTitle":"Inequalities","calculatorUse":null,"parts":[{"id":"99f0e42c-d58e-43a9-be8f-d81774bc1d71","label":"0","content":"$$n$ is an integer such that $-8 < 3n < 10$\nWrite down all the possible values of $n$.","markscheme":"- Divides by 3: $-2.66... < n < 3.33...$ M1\n- Lists $-2, -1, 0, 1, 2, 3$ A1","marks":2,"order":0,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Divides the inequality by 3 to find decimal boundaries.","code":"M"},{"id":"p2","marks":1,"description":"Lists all integers from $-2$ to $3$.","code":"A"}],"finalAnswers":["-2, -1, 0, 1, 2, 3"],"generatedAt":"2026-05-07T01:51:05.704Z","modelVersion":"gemini-3-flash-preview"},"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}

Inequalities Questions

Inequalities Questions

Inequalities Questions

Inequalities Questions