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10th Grade Solving Linear Inequalities Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 10th Grade linear equations worksheet.

Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Linear Equations

10th Grade Solving Linear Inequalities Worksheet — Level 2 — Practice Set 4 — Answers

Solve each inequality the same way you would solve an equation.

1.Solve: 6x + 11 ≥ −25

Answer: x ≥ −6

  1. Subtract 11: 6x ≥ −36
  2. Divide by 6: x ≥ −6
2.Solve: 7x − 8 > 62

Answer: x > 10

  1. Add 8: 7x > 70
  2. Divide by 7: x > 10
3.Solve: 3x + 11 > −16

Answer: x > −9

  1. Subtract 11: 3x > −27
  2. Divide by 3: x > −9
4.Solve: 5x − 10 > −10

Answer: x > 0

  1. Add 10: 5x > 0
  2. Divide by 5: x > 0
5.Solve: 7x + 8 ≥ 50

Answer: x ≥ 6

  1. Subtract 8: 7x ≥ 42
  2. Divide by 7: x ≥ 6
6.Solve: 3x + 6 ≤ 30

Answer: x ≤ 8

  1. Subtract 6: 3x ≤ 24
  2. Divide by 3: x ≤ 8
7.Solve: 3x + 9 < 0

Answer: x < −3

  1. Subtract 9: 3x < −9
  2. Divide by 3: x < −3
8.Solve: 5x − 9 ≥ −44

Answer: x ≥ −7

  1. Add 9: 5x ≥ −35
  2. Divide by 5: x ≥ −7
9.Solve: 6x − 6 > −12

Answer: x > −1

  1. Add 6: 6x > −6
  2. Divide by 6: x > −1
10.Solve: 4x − 12 < −8

Answer: x < 1

  1. Add 12: 4x < 4
  2. Divide by 4: x < 1
11.Solve: 4x + 4 < −16

Answer: x < −5

  1. Subtract 4: 4x < −20
  2. Divide by 4: x < −5
12.Solve: 3x + 8 < 2

Answer: x < −2

  1. Subtract 8: 3x < −6
  2. Divide by 3: x < −2
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