Question

What is x in this absolute value equation, please show a step by step answer!!! | x−12| <3

Answer 1

see explanation

Explanation:

Inequalities of the form | x | < a , always have solutions of the form

- a < x < a

Given | x - 12 | < 3, then

- 3 < x - 12 < 3 ( add 12 to all 3 intervals )

9 < x < 15

Answer 2

x−12<3

Step 1: Add 12 to both sides.

x−12+12<3+12

x<15