Solution set of logx2(x|x|−x)≥0,  is

The given expression is logx2(x|x|−x)≥0 Case 1:  If x2>1, then x|x|−x≥1 ⇒  1−x≥1,  (x>1)⇒x≤0, x>1  (not valid)or x<−1,  −1−x≥1 ⇒x<−1, x≤−2 ∴     x∈(−∞,  −2] Case II: If 0