Year 11 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 11 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Linear EquationsYear 11 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 3 — Answers
Solve each inequality the same way you would solve an equation.
1.6x ≥ −24
Answer: x ≥ −4
- Divide both sides by 6 (positive, so the sign stays): x ≥ −4
2.x + 3 ≥ −2
Answer: x ≥ −5
- Subtract 3 on both sides: x ≥ −2 − 3 = −5
3.6x < 12
Answer: x < 2
- Divide both sides by 6 (positive, so the sign stays): x < 2
4.7x ≥ 56
Answer: x ≥ 8
- Divide both sides by 7 (positive, so the sign stays): x ≥ 8
5.7x < 35
Answer: x < 5
- Divide both sides by 7 (positive, so the sign stays): x < 5
6.9x > −45
Answer: x > −5
- Divide both sides by 9 (positive, so the sign stays): x > −5
7.6x > 18
Answer: x > 3
- Divide both sides by 6 (positive, so the sign stays): x > 3
8.3x < −15
Answer: x < −5
- Divide both sides by 3 (positive, so the sign stays): x < −5
9.2x < −2
Answer: x < −1
- Divide both sides by 2 (positive, so the sign stays): x < −1
10.5x < 10
Answer: x < 2
- Divide both sides by 5 (positive, so the sign stays): x < 2
11.x + 1 < 12
Answer: x < 11
- Subtract 1 on both sides: x < 12 − 1 = 11
12.2x ≥ 14
Answer: x ≥ 7
- Divide both sides by 2 (positive, so the sign stays): x ≥ 7
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.