# How do you graph and solve |12 – x| <4?

Aug 13, 2016

$8 < x < 16$

#### Explanation:

$\left(12 - x\right) < 4$
or

$x > 12 - 4$

or

$x > 8$

Now consider

$12 - x > - 4$
or

$x < 12 + 4$

or

$x < 16$

Therefore we can write

$8 < x < 16$