Year 11 Solving Linear Inequalities Worksheet — Level 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 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −2x + 5 > −1
Answer: x < 3
- Subtract 5: −2x > −6
- Divide by −2 (negative, so reverse the sign): x < 3
2.Solve: 2x − 4 ≥ −8
Answer: x ≥ −2
- Add 4: 2x ≥ −4
- Divide by 2: x ≥ −2
3.Solve: −x − 11 < −2
Answer: x > −9
- Add 11: −x < 9
- Divide by −1 (negative, so reverse the sign): x > −9
4.Solve: −4x − 8 ≥ −24
Answer: x ≤ 4
- Add 8: −4x ≥ −16
- Divide by −4 (negative, so reverse the sign): x ≤ 4
5.Solve: 6x − 8 < 22
Answer: x < 5
- Add 8: 6x < 30
- Divide by 6: x < 5
6.Solve: 6x − 3 ≤ −33
Answer: x ≤ −5
- Add 3: 6x ≤ −30
- Divide by 6: x ≤ −5
7.Solve: 3x + 4 ≤ −11
Answer: x ≤ −5
- Subtract 4: 3x ≤ −15
- Divide by 3: x ≤ −5
8.Solve: 4x + 7 < −1
Answer: x < −2
- Subtract 7: 4x < −8
- Divide by 4: x < −2
9.Solve: −x + 10 ≥ 10
Answer: x ≤ 0
- Subtract 10: −x ≥ 0
- Divide by −1 (negative, so reverse the sign): x ≤ 0
10.Solve: x + 7 < 8
Answer: x < 1
- Subtract 7: x < 1
- Divide by 1: x < 1
11.Solve: 4x − 12 > 8
Answer: x > 5
- Add 12: 4x > 20
- Divide by 4: x > 5
12.Solve: 2x + 11 ≤ 13
Answer: x ≤ 1
- Subtract 11: 2x ≤ 2
- Divide by 2: x ≤ 1
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