# Math Help - Simplyfing Algebraic Expressions With Absolute Value

1. ## Simplyfing Algebraic Expressions With Absolute Value

The questions is simplify:
(a) [6-2y] if y≥3
(b) [x+3] - [x-2] if -2<x<0.

So far i know that if x is greater than or equal to zero then x is positive. After that I don't know what to do. It gets confusing for me. Can someone explain in detail how to do this?

2. $|x| = x$ when x is non negative and $|x| = -x$ when x is negative.

1) $y \geq 3 \implies 2y \geq 6 \implies 6 -2y \leq 0$. So what can you say about $|6 -2y|$?

2) $x < 0 \implies x - 2 < 0$ and $x > -2 \implies x + 3 > 0$. So what can you say about $|x+3|- |x-2|$?