Chapter 3 Linear Inequalities

Solve the inequality:

x + 8 > -10

• x > -18

• x < -18

• x = -18

• x > 8

Which inequality represents the sentence “The difference of x and 12 is less than or equal to 22”?

• x – 12 ≤ 22

• x – 12 ≥ 22

• x – 12 > 22

• x – 12 < 22

Which inequality is equivalent to the inequality to the right?

• x > 56

• x < 56

• x > -56

• x < -56

Which inequality is equivalent to

5(x – 2) ≤ -10x + 5?

• x ≤ 1

• x ≥ 1

• x ≤ -1

• x ≥ -1

Which inequality is equivalent to 4 ≤ 6x + 10 < 34?

• 14 ≤ x < 44

• -36 ≤ x < 144

• -1 ≤ x < 4

• 11 ≤ x < 19

Which inequality is represented by the graph?

• -20 < x < 0

• x ≤ -20 or x ≥ 0

• -20 ≤ x ≤ 0

• x < -20 or x > 0

Which inequality represents the given scenario?

In order to become president of the United States you must be at least 35 years. Let x be the ages of people who could be elected president.

• x < 35

• 0 < x < 35

• x ≤ 35

• x ≥ 35

Solve the inequality.

7 – 5x < -3

• x < -1

• x > 2

• x < -2

• x < 2

Solve the inequalities to write the compound inequality

3x + 2 < 8 or –x + 3 < -2

• x < 2 and x > 5

• -5 > x > 2

• x < 2 or x > 5

6x – 9 ≤ 4x + 2x – 16

• No solution

• x ≤ 6

• All real numbers

• -9 ≤ x