Question

Solve: |2x - 7| < 13
A. x < 10
B. x > 10 and x < -3
C. -3 < x < 10
D. x > -3

Answer 1

When you drop the abs value signs in |2x - 7| < 13, you get:

2x - 7 < 13 and 2x - 7 > -13

^^solve both.

You can also combine them into one inequality:
-13 < 2x - 7 < 13
and solve this one if you prefer