不等式解集(20點)

Solve (1 + x)(1 - |x|) > 0.

(1 + x)(1 - |x|) > 0
(1 + x > 0 and 1 - |x| > 0) or (1 + x < 0 and 1 - |x| < 0)
(x > - 1 and |x| < 1) or (x < - 1 and |x| > 1)
(x > - 1 and - 1 < x < 1) or (x < - 1 and (x > 1 or x < - 1))
- 1 < x < 1 or x < - 1