Year 10 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 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: 3x − 9 > −9
Answer: x > 0
- Add 9: 3x > 0
- Divide by 3: x > 0
2.Solve: 6x − 11 ≤ 61
Answer: x ≤ 12
- Add 11: 6x ≤ 72
- Divide by 6: x ≤ 12
3.Solve: −5x − 11 < −66
Answer: x > 11
- Add 11: −5x < −55
- Divide by −5 (negative, so reverse the sign): x > 11
4.Solve: 3x − 4 ≤ −16
Answer: x ≤ −4
- Add 4: 3x ≤ −12
- Divide by 3: x ≤ −4
5.Solve: 2x − 11 < −1
Answer: x < 5
- Add 11: 2x < 10
- Divide by 2: x < 5
6.Solve: x − 8 ≥ −11
Answer: x ≥ −3
- Add 8: x ≥ −3
- Divide by 1: x ≥ −3
7.Solve: −4x − 10 < −30
Answer: x > 5
- Add 10: −4x < −20
- Divide by −4 (negative, so reverse the sign): x > 5
8.Solve: 4x + 11 < 3
Answer: x < −2
- Subtract 11: 4x < −8
- Divide by 4: x < −2
9.Solve: −x − 5 ≤ −2
Answer: x ≥ −3
- Add 5: −x ≤ 3
- Divide by −1 (negative, so reverse the sign): x ≥ −3
10.Solve: −5x − 1 < −1
Answer: x > 0
- Add 1: −5x < 0
- Divide by −5 (negative, so reverse the sign): x > 0
11.Solve: −5x − 6 < 9
Answer: x > −3
- Add 6: −5x < 15
- Divide by −5 (negative, so reverse the sign): x > −3
12.Solve: −6x + 4 ≤ 28
Answer: x ≥ −4
- Subtract 4: −6x ≤ 24
- Divide by −6 (negative, so reverse the sign): x ≥ −4
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