Solving Compound Inequalities

Solve the following compound inequality:

−4x + 1 ≤ 21 and 5x + 2 < 22

• x > −5 or x ≤ 4

• x ≥ −5 or x < 4

• x > −5 and x ≤ 4

• x ≥ −5 and x < 4

Solve 24 > -3r > -9 

• -8 < r < 3

• -8 > r > 3

• r > - 8 and r > 3 

• r > -8 or r < 3

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

Write an inequality for Graph 2.

• -2 ≤ x < 5

• x ≤ -2 AND x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x ≤ 5

Solve:

• A

• B

• C

• D

Solve:

• A

• B

• C

• D

Solve:

• A

• B

• C

• D

Solve:

• A

• B

• C

• D

Solve:

• A

• B

• C

• D

0 < x + 7 < 9

• -7

• -7

• -7>x and x>2

• -7>x or x>2