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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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- Inequalities Math tutorial: Solving Linear Inequalities. Read the Solving Linear Inequalities math tutorial and build your math knowledge of Inequalities
- Inequalities Video tutorial: Solving Linear Inequalities. Watch or listen to the Solving Linear Inequalities video tutorial, a useful way to help you revise when travelling to and from school/college
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- 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.
- Continuing learning inequalities - read our next math tutorial: Quadratic Inequalities

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