How to solve (step by step):

I guess the image showing your work and what the question is did not attach correctly when you made your post. Can you please try again? Sorry for the inconvenience.
 
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As it stands now, with only this one bit of information, it's rather impossible to know what you've even been asked to do. Certainly it's possible to solve the inequality and find all pairs \((x, y)\) which satisfy it, but there's going to be infinitely many of them. The best you can do is to rewrite the inequality to find which value(s) of \(y\) work for any particular choice of \(x\).
 
Hello, and welcome to FMH! :)

I would begin by considering the curve:

[MATH]4y^2-x^2=4[/MATH]
Can you identify the curve type and sketch its graph?
 
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