Solution of inequality X & sup2; - 4 × (absolute value of x) < - 3

Solution of inequality X & sup2; - 4 × (absolute value of x) < - 3

|x|²-4|x|+3<0
(|x|-1)(|x|-3)<0
∴1<|x|<3
①1<x<3
②1<-x<3
-3<x<-1
The solution is: - 3 < x < - 1 or 1 < x < 3