Year 11 Solving Linear Inequalities Worksheet — Level 3 — 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 3 — Practice Set 3 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −4x + 3 > 27
Answer: x < −6
- Subtract 3: −4x > 24
- Divide by −4 (negative, so reverse the sign): x < −6
2.Solve: −x − 12 ≥ −23
Answer: x ≤ 11
- Add 12: −x ≥ −11
- Divide by −1 (negative, so reverse the sign): x ≤ 11
3.Solve: −4x + 6 < −2
Answer: x > 2
- Subtract 6: −4x < −8
- Divide by −4 (negative, so reverse the sign): x > 2
4.Solve: 4x + 1 < 13
Answer: x < 3
- Subtract 1: 4x < 12
- Divide by 4: x < 3
5.Solve: 6x + 10 ≤ 58
Answer: x ≤ 8
- Subtract 10: 6x ≤ 48
- Divide by 6: x ≤ 8
6.Solve: −3x − 5 < −23
Answer: x > 6
- Add 5: −3x < −18
- Divide by −3 (negative, so reverse the sign): x > 6
7.Solve: x + 4 > −1
Answer: x > −5
- Subtract 4: x > −5
- Divide by 1: x > −5
8.Solve: 6x − 6 < 18
Answer: x < 4
- Add 6: 6x < 24
- Divide by 6: x < 4
9.Solve: 2x − 12 < −12
Answer: x < 0
- Add 12: 2x < 0
- Divide by 2: x < 0
10.Solve: −5x − 11 ≤ 19
Answer: x ≥ −6
- Add 11: −5x ≤ 30
- Divide by −5 (negative, so reverse the sign): x ≥ −6
11.Solve: −4x − 1 ≥ 35
Answer: x ≤ −9
- Add 1: −4x ≥ 36
- Divide by −4 (negative, so reverse the sign): x ≤ −9
12.Solve: 3x + 7 > 7
Answer: x > 0
- Subtract 7: 3x > 0
- Divide by 3: x > 0
Marking tips
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