## Algebra 1: Common Core (15th Edition)

When $a\geq b\geq 0$ or $a\leq b\leq 0$ .
$|a-b|=|a|-|b|$ when: a) a is bigger than b such that $a-b\leq 0$ Example: $|5-3|= |5 |- |3 |$ $2=2$ b) b is greater than a such that $|a-b|\leq 0$ Example: $|-5-(-3)|= |-5 |- |-3 |$ $|-2 |= 5-3$ $2=2$