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Inequalities Learning Material
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Tutorial
Revision
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Revision
Questions

## Quadratic Inequalities Revision Questions

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

x2 + 5x + 4 ≥ 0
1. -4
2. -3
3. -2
4. -1

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

x2 - 2x - 3 ≥ 0
1. 0
2. -1
3. -2
4. -3

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

5 - 3x2 > 4x
1. -3x2 - 4x + 5 < 0
2. 3x2 + 4x - 5 > 0
3. 3x2 + 4x - 5 < 0
4. 3x2 - 4x - 5 < 0

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

x2 - 7x + 6 < 0
1. (-∞, 1) and (6, +∞)
2. (1, 6)
3. [1, 6]
4. (-∞, 1] and [6, +∞)

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

-x2 - 4x + 3 ≥ 0
1. (-3, -1)
2. [-3, -1]
3. (-∞, -3) and (-1, +∞)
4. (-∞, -3] and [-1, +∞)

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

3x2 - 2x - 1 ≤ 0
1. -3
2. -1
3. -1/3
4. 1

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

2x2 - 5x + 3 > 0
1. 0
2. 1
3. 3/2
4. +∞

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

2 - 5x ≥ 3x2
1. -2
2. -1
3. 0
4. 1

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

x2 + mx + 3 < 0

has more than one solution?

Hint! Consider the sign of the discriminant.

1. 3
2. 4
3. 5
4. 6

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

2x2 + 7x + m ≤ 0

has no solution?

1. 7
2. 6
3. 5
4. 4

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1. Practice Questions Feedback. Helps other - Leave a rating for this practice questions (see below)
2. Inequalities Math tutorial: Quadratic Inequalities. Read the Quadratic Inequalities math tutorial and build your math knowledge of Inequalities
3. Inequalities Video tutorial: Quadratic Inequalities. Watch or listen to the Quadratic Inequalities video tutorial, a useful way to help you revise when travelling to and from school/college
4. Inequalities Revision Notes: Quadratic Inequalities. Print the notes so you can revise the key points covered in the math tutorial for Quadratic Inequalities
5. 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.
6. Continuing learning inequalities - read our next math tutorial: Graphing Inequalities

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