Question

Solve the compound inequality.

5x – 11 < –11 or 4x + 2 > 14

A) x < -5 or x > 8
B) x < 0 or x > 3
C) x < -4 and 2/5 or x > 8
D) x < 0 or x > 4

Answer 1

B) x < 0 or x > 3

Explanation:

`5x-11<-11` or
`4x+2>14`

Solution:

`5x-11<-11` add 11 to both sides

`5x<0` divide both sides by 5

`x<0`

`4x+2>14` subtract 2 from both sides

`4x>12` divide both sides by 4

`x>3`

x < 0 or x > 3