# Math Help - Absolute value rule

1. ## Absolute value rule

Hi, could someone please explain to me the reasoning behind the following rule.

$If \;a\geq 0,\;\lvert x-k\rvert\leq a\;is\;equivalent\;to\;k-a\leq x\leq k+a$

I'm only just starting to learn absolute values.

Thanks

2. Originally Posted by Stroodle
Hi, could someone please explain to me the reasoning behind the following rule.

$If \;a\geq 0,\;\lvert x-k\rvert\leq a\;is\;equivalent\;to\;k-a\leq x\leq k+a$
For an illustrated explanation, try here.

3. Awesome. That's was really simple to understand. Just what I needed