# How do you solve abs(7-2x)-8<3?

Dec 3, 2016

$- 2 < x < 9$

#### Explanation:

The given inequality is equivalent to:

$| 7 - 2 x | < 11$

and then

$- 11 < 7 - 2 x < 11$

You can subtract 7 and get:

$- 18 < - 2 x < 4$

Since you'll multiply by -1, the inequality will be flipped:

$- 4 < 2 x < 18$

At the end you can divide all the terms by 2 and get:

$- 2 < x < 9$