This can be true in two scenarios.
Scenario I: (|x| - 2) < 0 and (x + 5) > 0
Or |x| < 2 and x > -5.This gives us the range (-2, 2)
Scenario II: (|x| - 2) > 0 and (x + 5) < 0
Or |x| > 2 and x < -5. This gives us the range (-∞, -5)
So, the overall range is (-∞, -5) or (-2, 2)
Correct Answer: (-∞, -5) or (-2, 2)