How do you solve and write the following in interval notation: |x| > -6?

Jan 3, 2018

See a solution process below:

Explanation:

The absolute value function takes any term and transforms it to its non-negative form. Therefore, $\left\mid x \right\mid$ will always be greater than or equal to 0.

$0$ is greater than $- 6$

Therefore, every value of $x$ is greater than $- 6$

Or, writing this in interval notation:

$\left(- \infty , + \infty\right)$