here's how you solve it
|3x+11| > 2
apply the absolute rule so you get two equations
3x+11 < -2 3x+11 > 2
in both equations subtract 11 from both sides
11-11 = 0 -2-11 = -13 11-11 = 0 2-11 = -9
this leaves you with
3x < -13 3x > -9
in both equations divide 3 on both sides
3x/3 = x -13/3 3x/3= x -9/3 = -3
and in the end you get
x < -13/3 or x > -3