# How do you solve  |x | = 6?

Jul 9, 2016

$x$ can be $6$ or $- 6$.

#### Explanation:

The absolute value of a number is the measurement of the distance from zero to that number on the number line. Note that the direction (negative or positive) is not taken into account, simply the distance.

Examples:

$\left\mid - 30 \right\mid = 30$

$\left\mid 100 \right\mid = 100$

Yes, all absolute values are positive, even if the number inside the actual absolute values is negative. A simple 'formula', if you will:

$\left\mid \pm a \right\mid = a$

$\left\mid x \right\mid = 6$
$x$ can be negative or positive, since all absolute value answers are positive. We can write this as $x = \pm 6$.