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

10.2 | Quadratic Inequalities |

**1.** . Which of the following values is a root of the quadratic inequality

x^{2} + 5x + 4 ≥ 0

- -4
- -3
- -2
- -1

**Correct Answer: D**

**2.** . Which of the following values is NOT a root of the quadratic inequality

x^{2} - 2x - 3 ≥ 0

- 0
- -1
- -2
- -3

**Correct Answer: A**

**3.** . What of the following is equivalent to the quadratic inequality

5 - 3x^{2} > 4x

- -3x
^{2}- 4x + 5 < 0 - 3x
^{2}+ 4x - 5 > 0 - 3x
^{2}+ 4x - 5 < 0 - 3x
^{2}- 4x - 5 < 0

**Correct Answer: C**

**4.** . What is/are the solution set(s) of the quadratic inequality

x^{2} - 7x + 6 < 0

- (-∞, 1) and (6, +∞)
- (1, 6)
- [1, 6]
- (-∞, 1] and [6, +∞)

**Correct Answer: B**

**5.** . What is/are the solution set(s) of the quadratic inequality

-x^{2} - 4x + 3 ≥ 0

- (-3, -1)
- [-3, -1]
- (-∞, -3) and (-1, +∞)
- (-∞, -3] and [-1, +∞)

**Correct Answer: B**

**6.** . What is the smallest number that belongs to the solution set of the quadratic inequality

3x^{2} - 2x - 1 ≤ 0

- -3
- -1
- -1/3
- 1

**Correct Answer: C**

**7.** . What is the maximum solution value of the inequality

2x^{2} - 5x + 3 > 0

- 0
- 1
- 3/2
- +∞

**Correct Answer: D**

**8.** . What is the maximum integer solution of the quadratic inequality

2 - 5x ≥ 3x^{2}

- -2
- -1
- 0
- 1

**Correct Answer: C**

**9.** . What is the minimum integer value of m so that the inequality

x^{2} + mx + 3 < 0

has more than one solution?

**Hint!** Consider the sign of the discriminant.

- 3
- 4
- 5
- 6

**Correct Answer: B**

**10.** . What is the minimum integer value of m so that the inequality

2x^{2} + 7x + m ≤ 0

has no solution?

- 7
- 6
- 5
- 4

**Correct Answer: A**

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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: Graphing Inequalities

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