Question

Solve the inequality.

|x + 5| > 12

A.
–17 < x < 7

B.
x < –17 or x > 7

C.
x > –17 or x < 7

D.
–7 < x < 7

Answer 1

use the idea that if |x| > k, then x > k or x < -k

to get...

|x + 5| > 12

x+5 > 12 or x+5 < -12

x > 12-5 or x < -12-5

x > 7 or x < -17