# How do you solve |x – 9| < 11?

Nov 1, 2015

$- 2 < x < 20$

#### Explanation:

Note that

$| x - 9 | < 11$
$\implies - 11 < x - 9 < 11$
$\implies - 11 + 9 < x < 11 + 9$
$\implies - 2 < x < 20$