# Solving Linear Inequalities

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Inequalities Learning Material
Tutorial IDTitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
10.1Solving Linear Inequalities

## Solving Linear Inequalities Revision Questions

1. . Which of the following numbers is a solution for the inequality

1 - 2x ≥ 7
1. -3
2. -2
3. -1
4. 0

2. . Which of the following numbers is NOT a solution for the inequality

11 > 3 - 2x
1. 7
2. 6
3. 5
4. 4

3. . What is the simplest form of the inequality

5 - 2x ≥ 3x + 15
5x ≥ -10
1. 5x ≤ -10
2. x ≤ -2
3. x ≥ -2
4. x ≤ -10

4. . The inequality

x - 3 < 4x - 15

is equivalent to

1. x > 12/5
2. x > 4
3. x < 4
4. x < -4

5. . Which of the following is the solution set of the inequality

3x - 2 ≤ 16 + 6x
1. [-6, +∞)
2. (-∞, 6]
3. (-∞, -6)
4. (6, +∞)

6. . Which of the following is the solution set of the double inequality

-5 < 2x + 1 ≤ 11
1. x ϵ (-3, 5)
2. x ϵ (-3, 5]
3. x ϵ [-3, 5)
4. x ϵ (-5, 3]

7. . Which of the following pairs of inequalities is equivalent to the double inequality

2x - 1 < 3x - 3 ≤ 2x + 9
1. x > 4 and x ≤ 8
2. x < 2 and x ≥ -12
3. x > 2 and x ≤ 12
4. x < 2 and x ≥ 12

8. . The inequalities 3 - x ≥ 0 and 2x + 4 > 0 can be expressed as a double inequality as

1. 2 < x < 3
2. -2 < x ≤ 3
3. 2 < x ≤ 3
4. -3 ≤ x < 2

9. . Which of the following number pairs is a solution for the linear inequality in two variables

y < 4x - 1
1. (3, 12)
2. (-1, -5)
3. (2, 9)
4. (1, 2)

10. . Which of the following number pairs is NOT a solution for the linear equation in two variables

3x - y - 5 ≤ 0
1. (0, -4)
2. (2, 2)
3. (-1, -3)
4. (3, 3)

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4. Check your calculations for Inequalities questions with our excellent Inequalities calculators which contain full equations and calculations clearly displayed line by line. See the Inequalities Calculators by iCalculator™ below.
5. Continuing learning inequalities - read our next math tutorial: Quadratic Inequalities

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