Solving Linear Inequalities

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Inequalities Learning Material
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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

Correct Answer: A

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

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

Correct Answer: D

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

Correct Answer: C

4. . The inequality

x - 3 < 4x - 15

is equivalent to

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

Correct Answer: B

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

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

Correct Answer: A

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]

Correct Answer: B

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

Correct Answer: C

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

Correct Answer: B

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)

Correct Answer: D

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)

Correct Answer: D

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  5. Continuing learning inequalities - read our next math tutorial: Quadratic Inequalities

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