## Algebra and Trigonometry 10th Edition

To find the absolute value of a given expression we need to define what is the absolute value function. Absolute value of a number is its distance from the origin. |x| = 0 if x = 0; |x| = -x if x < 0; |x| = x if x > 0; $|x+2| \div (x+2)$ = $-(x+2)\div (x+2)$ = -1 as |x+2| = -(x+2) when x < -2 since x < -2 implies (x+2) < 0 Hence |x+2| = -(x+2) as (x+2) < 0