If $\frac{|x|-1}{|x|-2} ≤0$, then x lies in the interval

[1, 2] (-2, 2) (-2, -1] ∪ [1, 2) [-1,1]

(-2, -1] ∪ [1, 2)

$\frac{|x|-1}{|x|-2} ≤0$ Using wavy curve method so $⇒|x|∈[1,2)⇒x∈(-2, -1] ∪ [1, 2)$