Triangle inequality:
$\displaystyle ||x| - |y|| <= |x + y| <= |x| + |y|$

Where $\displaystyle |x|$ is the absolute value of x.

Problem statement:

Using the triangle inequality, prove that

$\displaystyle |\frac{(2+x)}{(2-x)}| > \frac{1}{2}$

when

$\displaystyle |x| < \frac{1}{2}$

Again I am totally missing something here and it's probably something really simple. I have no idea what to do. Please help.