# Inequalities & absolute values

• October 19th 2008, 11:34 PM
xwrathbringerx
Inequalities & absolute values
Solve |x| ≥ 0. Does that simply end up being x ≥ 0 (Wondering)?
• October 19th 2008, 11:44 PM
Shyam
$|x|\ge 0$

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

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

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

This is true for all x.