486d1da79","label":"a","content":"On the number line, show the inequality $-4 < n \\leq 5$\n\n![A number line from -5 to 5.](https://assets.mathsgenie.co.uk/booklet/630251166f4c90418f6fcdd6882a45988dfe52ea9a51c1f2ba0f25f7769df6d9.jpg)","markscheme":"- Open circle at $-4$ and solid circle at $5$ B1\n- Line segment connecting the two circles B1","marks":2,"order":0,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Draws an open circle at $-4$ and a solid circle at $5$.","code":"B"},{"id":"p2","marks":1,"description":"Connects the two circles with a line segment.","code":"B"}],"finalAnswers":[],"generatedAt":"2026-05-07T01:51:05.704Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]},{"id":"e5b52877-9de4-4423-b5ab-341ecebf51ac","label":"b","content":"Write down the inequality shown on the number line.\n\n![A number line with an open circle at -3 and a solid circle at 2.](https://assets.mathsgenie.co.uk/booklet/630251166f4c90418f6fcdd6882a45988dfe52ea9a51c1f2ba0f25f7769df6d9.jpg)","markscheme":"- Correct inequality $-3 < y \\leq 2$ B2\n- (B1 for $-3 \\leq y < 2$ or for identifying $-3$ and $2$ with one correct sign)","marks":2,"order":1,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Identifies the range between $-3$ and $2$.","code":"B"},{"id":"p2","marks":1,"description":"Uses correct symbols: $<$ at $-3$ and $\\leq$ at $2$.","code":"B"}],"finalAnswers":["-3 < y \\leq 2"],"generatedAt":"2026-05-07T01:51:05.704Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"10bcfb0c-cd92-406c-90ef-8b75732d0cda","revisionId":"f018d676-718d-4503-98c9-409c9e52fa39","questionNumber":"17","questionType":"LA","specification":"","difficulty":3,"difficultyBand":null,"totalMarks":9,"sourceTitle":"Inequalities","calculatorUse":null,"isCalculation":true,"parts":[{"id":"fb28d2bd-7f5e-4e5b-9f60-3acf37930190","label":"a","content":"On the number line, show the inequality $-3 \\leq x + 2 < 2$\n\n![A number line from -5 to 5.](https://assets.mathsgenie.co.uk/booklet/9cadbebf20b04bd18e536be70913bc80f8d7d924f2e5863e956a7e46c9761595.jpg)","markscheme":"- Subtracts 2 from all parts: $-5 \\leq x < 0$ M1\n- Solid circle at $-5$ and open circle at $0$ B1\n- Line segment connecting the two circles B1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Subtracts 2 from the inequality to find boundaries $-5$ and $0$.","code":"M"},{"id":"p2","marks":1,"description":"Draws a solid circle at $-5$ and an open circle at $0$.","code":"B"},{"id":"p3","marks":1,"description":"Connects the two circles with a line segment.","code":"B"}],"finalAnswers":[],"generatedAt":"2026-05-07T01:51:05.704Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]},{"id":"1531d2ed-c9e8-47db-92dc-df33e8a507e5","label":"b","content":"$$1 \\leq 2y - 3 < 9$ where $y$ is an integer.\nWrite down all the possible values of $y$.","markscheme":"- Adds 3: $4 \\leq 2y < 12$ M1\n- Divides by 2: $2 \\leq y < 6$ M1\n- Lists $2, 3, 4, 5$ A1","marks":3,"order":1,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Adds 3 to all parts of the inequality.","code":"M"},{"id":"p2","marks":1,"description":"Divides all parts by 2 to get $2 \\leq y < 6$.","code":"M"},{"id":"p3","marks":1,"description":"Lists the integers $2, 3, 4, 5$.","code":"A"}],"finalAnswers":["2, 3, 4, 5"],"generatedAt":"2026-05-07T01:51:05.704Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":null,"options":[]},{"id":"3be95e3a-ca25-4346-993c-554754a04766","label":"c","content":"Solve $4x - 4 \\leq 7x - 19$","markscheme":"- Subtracts $4x$ from both sides: $-4 \\leq 3x - 19$ M1\n- Adds 19 to both sides: $15 \\leq 3x$ M1

Inequalities

Question 9

Inequalities Questions

Inequalities

Question 9

Inequalities Questions