9th Grade Solving Linear Inequalities Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 9th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Linear Equations9th 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 > −44
Answer: x < 11
- Add 11: −3x > −33
- Divide by −3 (negative, so reverse the sign): x < 11
2.Solve: −3x − 11 < 16
Answer: x > −9
- Add 11: −3x < 27
- Divide by −3 (negative, so reverse the sign): x > −9
3.Solve: −6x − 6 < 6
Answer: x > −2
- Add 6: −6x < 12
- Divide by −6 (negative, so reverse the sign): x > −2
4.Solve: 3x + 7 > −2
Answer: x > −3
- Subtract 7: 3x > −9
- Divide by 3: x > −3
5.Solve: −6x − 1 > −1
Answer: x < 0
- Add 1: −6x > 0
- Divide by −6 (negative, so reverse the sign): x < 0
6.Solve: −4x − 6 < 22
Answer: x > −7
- Add 6: −4x < 28
- Divide by −4 (negative, so reverse the sign): x > −7
7.Solve: 3x + 5 ≤ 2
Answer: x ≤ −1
- Subtract 5: 3x ≤ −3
- Divide by 3: x ≤ −1
8.Solve: −6x − 6 ≤ −42
Answer: x ≥ 6
- Add 6: −6x ≤ −36
- Divide by −6 (negative, so reverse the sign): x ≥ 6
9.Solve: −x − 2 > −11
Answer: x < 9
- Add 2: −x > −9
- Divide by −1 (negative, so reverse the sign): x < 9
10.Solve: 5x − 6 > −6
Answer: x > 0
- Add 6: 5x > 0
- Divide by 5: x > 0
11.Solve: 5x − 10 < −40
Answer: x < −6
- Add 10: 5x < −30
- Divide by 5: x < −6
12.Solve: 3x + 1 < −20
Answer: x < −7
- Subtract 1: 3x < −21
- Divide by 3: x < −7
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