how to solve y^2<x^2 y^2>x^2

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Can someone help me with the steps how to solve those inequistins?

y^2<x^2
My wrong solution:
y^2<x^2 /sqr
y<x or y<-x or -y<x or -y<-x

https://www.desmos.com/calculator/eisb5q0pw4

y^2>x^2
My wrong solution:
y^2>x^2 /sqr
y>x or y>-x or -y>x or -y>-x

https://www.desmos.com/calculator/eisb5q0pw4

I do something wrong becouse I get the same answer for both inequistins.

*Could not find the appropriate tag.

Thanks, stav