# How do you solve  |x|=11?

$x = \pm 11$

#### Explanation:

The absolute value sign (the two vertical lines that the $x$ is sitting between) means that whatever the value of $x$ is, whether positive or negative, it will be positive when the absolute value operation is performed.

For instance, if $x = 11$, then

$\left\mid 11 \right\mid = 11$

However, if we set $x = - 11$, then

$\left\mid - 11 \right\mid = 11$

And so $x$ can be 11 and $- 11$.