Quadratic Inequalities

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Quadratic Inequalities Revision Questions

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

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

Reveal AnswerCorrect Answer: D

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

1. 0
2. -1
3. -2
4. -3

Reveal AnswerCorrect Answer: A

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

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

Reveal AnswerCorrect Answer: C

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

1. (-∞, 1) and (6, +∞)
2. (1, 6)
3. [1, 6]
4. (-∞, 1] and [6, +∞)

Reveal AnswerCorrect Answer: B

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

1. (-3, -1)
2. [-3, -1]
3. (-∞, -3) and (-1, +∞)
4. (-∞, -3] and [-1, +∞)

Reveal AnswerCorrect Answer: B

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

1. -3
2. -1
3. -1/3
4. 1

Reveal AnswerCorrect Answer: C

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

1. 0
2. 1
3. 3/2
4. +∞

Reveal AnswerCorrect Answer: D

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

1. -2
2. -1
3. 0
4. 1

Reveal AnswerCorrect Answer: C

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

has more than one solution?

Hint! Consider the sign of the discriminant.

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

Reveal AnswerCorrect Answer: B

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

has no solution?

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

Reveal AnswerCorrect Answer: A

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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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