Writing an inequality in set notation

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I'm having trouble writing a solution in set notation. Iv been asked to write an equation to describe a region from a graph but express the answer in set notation. My solution is y>x^2-4. How do I write this in set notation?

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A reasonable option is $$\{(x,y)\in\Bbb R^2\,:\, y>x^2-4\}$$