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The set of all x such that (|x| – 2) (1 + x) > 0 is exactly

 
|x| > 2
– 2 < x < – 1 or x > 2
– 1 < x < 2

-2<x<-1 or x>2
x < – 2 or x > 2

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Can anyone explain why have we taken closed interval in the answer despite there is open interval mentioned in the question??