Write the expression without using absolute values. |x+2| and x ≤ -6

Question

Write the expression without using absolute values.

 

|x+2| and x ≤ -6

Answer 1

|x+2| equals -x-2 whenever x < -2.

Intersecting this solution with x≤-6 yields

overall solution x≤-6

which is (-infinity, -6] in interval notation.