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The following math revision questions are provided in support of the math tutorial on Solving Linear Inequalities. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the Solving Linear Inequalities tutorials. The Solving Linear Inequalities calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

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Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions | |
---|---|---|---|---|---|---|

10.1 | Solving Linear Inequalities |

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

1 - 2x ≥ 7

- -3
- -2
- -1
- 0

**Correct Answer: A**

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

11 > 3 - 2x

- 7
- 6
- 5
- 4

**Correct Answer: D**

**3.** . What is the simplest form of the inequality

5 - 2x ≥ 3x + 15

5x ≥ -10

5x ≥ -10

- 5x ≤ -10
- x ≤ -2
- x ≥ -2
- x ≤ -10

**Correct Answer: C**

**4.** . The inequality

x - 3 < 4x - 15

is equivalent to

- x > 12/5
- x > 4
- x < 4
- x < -4

**Correct Answer: B**

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

3x - 2 ≤ 16 + 6x

- [-6, +∞)
- (-∞, 6]
- (-∞, -6)
- (6, +∞)

**Correct Answer: A**

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

-5 < 2x + 1 ≤ 11

- x ϵ (-3, 5)
- x ϵ (-3, 5]
- x ϵ [-3, 5)
- 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

- x > 4 and x ≤ 8
- x < 2 and x ≥ -12
- x > 2 and x ≤ 12
- 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

- 2 < x < 3
- -2 < x ≤ 3
- 2 < x ≤ 3
- -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

- (3, 12)
- (-1, -5)
- (2, 9)
- (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

- (0, -4)
- (2, 2)
- (-1, -3)
- (3, 3)

**Correct Answer: D**

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

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