Solving Linear Inequalities

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Solving Linear Inequalities Revision Questions

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

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

Reveal AnswerCorrect Answer: A

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

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

Reveal AnswerCorrect Answer: D

3. . What is the simplest form of the inequality

1. 5x ≤ -10
2. x ≤ -2
3. x ≥ -2
4. x ≤ -10

Reveal AnswerCorrect Answer: C

4. . The inequality

is equivalent to

1. x > 12/5
2. x > 4
3. x < 4
4. x < -4

Reveal AnswerCorrect Answer: B

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

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

Reveal AnswerCorrect Answer: A

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

1. x ϵ (-3, 5)
2. x ϵ (-3, 5]
3. x ϵ [-3, 5)
4. x ϵ (-5, 3]

Reveal AnswerCorrect Answer: B

7. . Which of the following pairs of inequalities is equivalent to the double inequality

1. x > 4 and x ≤ 8
2. x < 2 and x ≥ -12
3. x > 2 and x ≤ 12
4. x < 2 and x ≥ 12

Reveal AnswerCorrect Answer: C

8. . The inequalities 3 - x ≥ 0 and 2x + 4 > 0 can be expressed as a double inequality as

1. 2 < x < 3
2. -2 < x ≤ 3
3. 2 < x ≤ 3
4. -3 ≤ x < 2

Reveal AnswerCorrect Answer: B

9. . Which of the following number pairs is a solution for the linear inequality in two variables

1. (3, 12)
2. (-1, -5)
3. (2, 9)
4. (1, 2)

Reveal AnswerCorrect Answer: D

10. . Which of the following number pairs is NOT a solution for the linear equation in two variables

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

Reveal AnswerCorrect Answer: D

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2. Inequalities Math tutorial: Solving Linear Inequalities. Read the Solving Linear Inequalities math tutorial and build your math knowledge of Inequalities
3. 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
4. Inequalities Revision Notes: Solving Linear Inequalities. Print the notes so you can revise the key points covered in the math tutorial for Solving Linear 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: Quadratic Inequalities

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