# How do you solve abs(x)<15?

Jun 11, 2018

$- 15 < x < 15$

#### Explanation:

The absolute value means that the number is always positive so, for example

$| - 3 | = 3$

So if $| x |$ needs to be smaller than $15$, you can't go lower than $- 15$ because that would be

$| - 15 | = 15$

just as $| - 16 |$ wouldn't be smaller than $15$, since it's the same as $16$. You can't go higher than $15$ either because

$| 15 | = 15$