Question

Match each absolute value sentence with its equivalent compound sentence

1. |x - 5| = 4
2. |x - 5| < 4
3. |x - 5| > 4
4. |2x + 3| < 8
5. |2x + 3| > 8

a. -4 < x - 5 < 4
b. -8 < 2x + 3 < 8
c. x - 5 = 4 or x - 5 = -4
d. x - 5 > 4 or x - 5 < -4
e. 2x + 3 > 8 or 2x + 3 < -8

Answer 1

1. | x - 5 | = 4
x - 5 = 4 or x - 5 = -4

2. | x - 5 | < 4
-4 < x - 5 < 4

3. | x - 5 | > 4
x - 5 > 4 or x - 5 < -4

4. | 2x + 3 | < 8
-8 < 2x + 3 < 8

5. | 2x + 3 | > 8
2x + 3 > 8 or 2x + 3 < -8