Given the function FX = {X & # 178; + 1, X ≥ 0 and 1, x < 0, then the value range of X satisfies the inequality f (1-x & # 178;) > F (2x)

Given the function FX = {X & # 178; + 1, X ≥ 0 and 1, x < 0, then the value range of X satisfies the inequality f (1-x & # 178;) > F (2x)

When x < - 1, there are 1 > 1, | no solution. When - 1 ≤ x ≤ 0, there are (1 - X & # 178;) &# 178; + 1 > 1, | x ≠± 1, | - 1 < x < 0. When 0 ≤ x ≤ 0, there are (1 - X & # 178;) &# 178; + 1 > (2x) &# 178; + 1, | 0 ≤ x < (root 2) - 1. When x > 1, there are 1 > (2x) &# 178; + 1, | no solution