# Math Help - Inequalities & absolute values

1. ## Inequalities & absolute values

Solve |x| ≥ 0. Does that simply end up being x ≥ 0 ?

2. $|x|\ge 0$

$\Rightarrow x\ge 0 \;\; and \;\; -x\ge 0$

$\Rightarrow x\ge 0 \;\;and \;\;x\le 0$

$\Rightarrow x \in \mathbb{R}$

This is true for all x.