Triangle inequality:
||x| - |y|| <= |x + y| <= |x| + |y|

Where |x| is the absolute value of x.

Problem statement:

Using the triangle inequality, prove that

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

when

|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.