SOLVING COMPOUND INEQUALITITES WORKSHEET

Solve the compound inequalities. Write the answers in interval notation.

Problem 1 :

-2 ≤ 3x – 1 ≤ 5

Solution

Problem 2 :

(-3/5)x – 1 ≤ 8 or (-2/3)x ≥ 16

Solution

Problem 3 :

-2x – 3 > -3 and x + 3 ≥ 0

Solution

Problem 4 :

5x + 1 ≤ 6 or 2x + 4 > -6

Solution

Problem 5 :

2x – 3 > 1 and x + 4 < -1

Solution

Answer Key

1)

2)

3)

4)  

5) no solution.

Solve the compound inequalities. Write the answers in interval notation.

Problem 1 :

-2 ≤ 3x – 1 ≤ 5

Problem 2 :

(-3/5)x – 1 ≤ 8 or (-2/3)x ≥ 16

Problem 3 :

-2x – 3 > -3 and x + 3 ≥ 0

Problem 4 :

5x + 1 ≤ 6 or 2x + 4 > -6

Problem 5 :

2x – 3 > 1 and x + 4 < -1

Answer Key

1)  -1/3 ≤ x ≤ 2

2)  

3)

4)  

5)  no solution.