Answer
-1
Work Step by Step
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