Question

Solve the compound inequality.

5x – 11 < –11 or 4x + 2 > 14

x < 0 or x > 3

x < -4 2/5 or x > 4

x < –5 or x > 8

x < 0 or x > 4

Answer 1

5x - 11 < -11
5x < 0
x < 0

4x + 2 > 14
4x > 12
x > 3

x<0 or x > 3

Answer 2

x<0 or x> 3

First option is correct.

Explanation:

The given inequality is

5x – 11 < –11 or 4x + 2 > 14

Add 11 to both sides in first inequality and subtract 2 to both sides in second inequality

5x < –11+11 or 4x > 14-2

5x < 0 or 4x > 12

Divide both sides by 5 in first inequality and divide both sides by 4 in second inequality

x<0 or x> 3

First option is correct.