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Anonymous No. 16078516

Prove |-x|=|x|.

Anonymous No. 16078521

homework thread

Anonymous No. 16078526

the definition of absolute value is a piecewise function [eqn]\|x\|:\mathbb{R}\rightarrow\mathbb{R}[/eqn] such that
[math]
\|x\| \equiv
\begin{cases}
x\quad\text{for}\quad x \gt 0\\
0\quad\text{for}\quad x = 0\\
-x\quad\text{for}\quad x \lt 0
\end{cases}
[/math]
it's in the definition