Solve: |x + 1| + |x - 1| > 3
Divide into sections:
1) If x >= 1: (x + 1) + (x - 1) > 3 ---> 2x > 3 ---> x > 1.5
2) If x > -1 and x <= 1: (x + 1) + -(x - 1) > 3 ---> 2 > 3 impossible!
3) If x <= -1: -(x + 1) + -(x - 1) > 3 ---> -2x > 3 ---> x < -1.5
Final answer: either x < -1.5 or x > 1.5