# How do you solve absolute value inequalities absx>=2?

Jun 24, 2018

$x \le - 2 \text{ or } x \ge 2$

#### Explanation:

$\text{inequalities of the type } | x | \ge a$

$\text{always have solutions of the form}$

$x \le - a \text{ or } x \ge a$

$\text{here "a=2" thus}$

$x \le - 2 \text{ or } x \ge 2$

$\left(- \infty , - 2\right] \cup \left[2 , \infty\right) \leftarrow \textcolor{b l u e}{\text{in interval notation}}$