# Region by polynomial inequality

williamkrill1 shared this question 1 year ago
Answered

Hi,

I know that GeoGebra can mark regions defined by linear inequalities, e.g. x+y - 1 >= 0.It can also define implicit curves such as x^3 + y^2 = 0. However I have troubles marking the region defined by the inequality x^3 + y^2 >= 0. Is this possible somehow and can it be done in a general way that works for other polynomial inequalities?

I have tried to turn it into two functions f(x) = (-x)^(3/2), g(x) = -(-x)^(3/2). Then i can use Integral(f,-100,0) and Integral(g,-100,0) to mark the region between x-axis and the graph -- but this gives the complement x^3 + y^2 <= 0 and it is also a bit hacky and case specific...

Thanks for the help!

Best regards William

Best Answer try x>=cbrt(-y^2)

## Comments (2) 2

try x>=cbrt(-y^2) 1

Thank you! I should have tried that. Leave a Comment
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