Problem Solving - 50

If x = -|x|, then which one of the following statements could be true?

I. x=0
II. x < 0
III. x > 0

A). none
B). I only
C). III only
D). I and II
E). II and III

Answer: D

Given x = - |x|
We know that |x| >= 0
=> -|x| = x <=0

Thus inequalities represented by I and II