2 < l2x + 3l
2^2 < (2x + 3)^2
4 < 4x^2 + 12x + 9
0 < 4x^2 + 12x + 5
0 < (2x + 5)(2x + 1)
x < -5/2 and x > -1/2
l2x + 3l < 11
(2x + 3)^2 < 11^2
4x^2 + 12x + 9 < 121
4x^2 + 12x - 112 < 0
4 (x^2 + 3x - 24) < 0
4 (x + 5)(x - 3) < 0
-5 < x < 3
So when they intersect those are your solutions:
-5 <...