Year 10 Solving Linear Inequalities Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −4x + 7 ≤ −9
Answer: x ≥ 4
- Subtract 7: −4x ≤ −16
- Divide by −4 (negative, so reverse the sign): x ≥ 4
2.Solve: −2x − 12 ≥ −14
Answer: x ≤ 1
- Add 12: −2x ≥ −2
- Divide by −2 (negative, so reverse the sign): x ≤ 1
3.Solve: 2x + 2 ≤ 2
Answer: x ≤ 0
- Subtract 2: 2x ≤ 0
- Divide by 2: x ≤ 0
4.Solve: −x + 4 < 5
Answer: x > −1
- Subtract 4: −x < 1
- Divide by −1 (negative, so reverse the sign): x > −1
5.Solve: −x − 2 < −12
Answer: x > 10
- Add 2: −x < −10
- Divide by −1 (negative, so reverse the sign): x > 10
6.Solve: x + 7 > 0
Answer: x > −7
- Subtract 7: x > −7
- Divide by 1: x > −7
7.Solve: 4x − 1 < 27
Answer: x < 7
- Add 1: 4x < 28
- Divide by 4: x < 7
8.Solve: x − 12 ≤ −12
Answer: x ≤ 0
- Add 12: x ≤ 0
- Divide by 1: x ≤ 0
9.Solve: 3x + 9 > 39
Answer: x > 10
- Subtract 9: 3x > 30
- Divide by 3: x > 10
10.Solve: −5x − 9 ≥ −9
Answer: x ≤ 0
- Add 9: −5x ≥ 0
- Divide by −5 (negative, so reverse the sign): x ≤ 0
11.Solve: −5x − 6 ≤ 4
Answer: x ≥ −2
- Add 6: −5x ≤ 10
- Divide by −5 (negative, so reverse the sign): x ≥ −2
12.Solve: 3x + 11 < 14
Answer: x < 1
- Subtract 11: 3x < 3
- Divide by 3: x < 1
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