10th Grade Solving Linear Inequalities Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 10th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Linear Equations10th Grade 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: −3x − 11 ≥ −32
Answer: x ≤ 7
- Add 11: −3x ≥ −21
- Divide by −3 (negative, so reverse the sign): x ≤ 7
2.Solve: −5x + 12 > 47
Answer: x < −7
- Subtract 12: −5x > 35
- Divide by −5 (negative, so reverse the sign): x < −7
3.Solve: −x − 8 ≥ −8
Answer: x ≤ 0
- Add 8: −x ≥ 0
- Divide by −1 (negative, so reverse the sign): x ≤ 0
4.Solve: −5x + 8 > 23
Answer: x < −3
- Subtract 8: −5x > 15
- Divide by −5 (negative, so reverse the sign): x < −3
5.Solve: −x − 12 > −12
Answer: x < 0
- Add 12: −x > 0
- Divide by −1 (negative, so reverse the sign): x < 0
6.Solve: 2x + 7 ≥ 13
Answer: x ≥ 3
- Subtract 7: 2x ≥ 6
- Divide by 2: x ≥ 3
7.Solve: 6x + 11 < −37
Answer: x < −8
- Subtract 11: 6x < −48
- Divide by 6: x < −8
8.Solve: −4x + 9 < −19
Answer: x > 7
- Subtract 9: −4x < −28
- Divide by −4 (negative, so reverse the sign): x > 7
9.Solve: 2x − 1 > −15
Answer: x > −7
- Add 1: 2x > −14
- Divide by 2: x > −7
10.Solve: 5x − 3 < 7
Answer: x < 2
- Add 3: 5x < 10
- Divide by 5: x < 2
11.Solve: −4x − 2 < −22
Answer: x > 5
- Add 2: −4x < −20
- Divide by −4 (negative, so reverse the sign): x > 5
12.Solve: 6x + 1 ≥ −5
Answer: x ≥ −1
- Subtract 1: 6x ≥ −6
- Divide by 6: x ≥ −1
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