Multi-Step Inequalities Compound Inequalities

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

Solve the inequality.

Solve the inequality.

• x > 39
• x < 6
• x < 13/3
• x > 5/9

Solve:

• A

• B

• C

• D

-4x -7 ≥ 21

• x ≤ -7

• x ≥ -7

• x ≤ 8

• x ≤ -8

Review the work shown solving the inequality. Should the inequality symbol been reversed?

• Yes, because 2 is positive.

• ​No, because 2 is positive.

• ​Yes, because −4 is negative.

• No, because −4 is negative.

What is the solution set for
-5x + 12 > -28

• x > 8

• x < 8

• x > -8

• x < -8

6(n + 2) < -72

• n < -14

• n < 35/3

• n < -10

• n > -14

6x + 10 > 5x - 12

• x > 2

• x < -2

• x < -22

• x > -22