Respuesta :

By definition, you have

[tex]|x| = \begin{cases} x \text{ if } x\geq 0\\ -x\text{ if } x<0\end{cases}[/tex]

So, in your case, you have

[tex]|x|-2 = \begin{cases} x-2 \text{ if } x\geq 0\\ -x-2 \text{ if } x<0\end{cases}[/tex]