# How do you solve the inequality |2x| ≥ 6 ?

Mar 8, 2018

The solution is $x \in \left(- \infty , - 3\right] \cup \left[3 , + \infty\right)$

#### Explanation:

The inequality is

$| 2 x | \ge 6$

This means that

$2 x \ge 6$, $\implies$, $x \ge 3$

and

$2 x \le - 6$, $\implies$, $x \le - 3$

The solution is

$x \in \left(- \infty , - 3\right] \cup \left[3 , + \infty\right)$