# How do you solve  |x| > 12?

Apr 10, 2018

$x > 12 \mathmr{and} x < - 12$

#### Explanation:

This equation requires an understanding of absolute value. This is how to solve this equation:

$| x | > 12$

Case 1: $x > 12$

Case 2: $- x > 12$

Now don't be fooled, when you divide both sides of an inequalities by a negative number, you have to flip the sign, so:

$x < - 12$ is the second answer

Answers are: $x > 12 \mathmr{and} x < - 12$
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