# How do you solve and write the following in interval notation: |2x + 3| <9?

Feb 11, 2017

x in ]-6;3[

#### Explanation:

The given inequality is equivalent to:

$- 9 < 2 x + 3 < 9$

let's subtract 3 to all the terms and get:

$- 12 < 2 x < 6$

then divide all terms by 2:

$- 6 < x < 3$

that is, in interval notation:

x in ]-6;3[