# Answer to Question #12716 in Real Analysis for DivyaGoel

Question #12716

Find all real numbers x that satisfy the following inequalities.

1<x2<4

1<x2<4

Expert's answer

1<x^2<4 it mean that x^2>1 and x^2<4

x^2<4 so

-2<x<2

x^2>1 so x<-1 or x>1

then the common solution

(-2<x<2) and (x<-1 or x>1)

then -2<x<-1 or 1<x<2

x^2<4 so

-2<x<2

x^2>1 so x<-1 or x>1

then the common solution

(-2<x<2) and (x<-1 or x>1)

then -2<x<-1 or 1<x<2

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