inequality doubt

|x|² - |x| - 22|x| - |x|² - 2 > 2 holds if and only if

(A) - 1 < x < -2/3 or 2/3 < x < 1

(B) -1 < x < 1

(D) x > 1 or x < -1 or -2/3 < x < 2/3

1 Answers

3|x|²-5|x|+2>0

=> (3|x|-2)(|x|-1)>0

=>|x|<2/3 or |x|>1

=> -2/3<x<2/3 or x<-1 or x>1

so option (D)

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