Solve the inequation
1. For LHS to be defined, x + 14 ≥ 0 means x ≥ -14
2. When x+2 < 0, then RHS cannot be greater than LHS, so no answer from this case
3. When x+2 ≥ 0, means when x ≥ -2,
In this case we can square both sides
x + 14 < (x+2)2
x + 14 < x2 + 4x + 4
x2 + 3x - 10 > 0
(x+5)(x-2) > 0
x < -5 or x > 2
Taking intersection with x ≥ -2, which equals x > 2
Now, answer is the intersection of (1) and (3), which is x > 2