# Plotting the set where $F(x,y)\leq0$ holds [closed]

I was using Wolfram Alpha to explore some set which is defined by an inequality. Somehow I was not able to reproduce the picture with mathematica. What is the best way of plotting a set defined as $F(x,y)\leq0$ where $F$ is a polynomial? I have tried ImplicitPlot, but this did not give nice results. Further, how is it possible to add something to such a plot? In fact I would like to also plot a certain curve which lies inside the set defined by the inequality. How is it possible to obtain this in the same graph?

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## closed as off-topic by Artes, m_goldberg, belisarius, Szabolcs, Michael E2Nov 25 '13 at 19:15

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ImplicitPlot, I haven't heard that for a long time. That function has been superseded by RegionPlot and RegionPlot3D. What version are you using? –  rcollyer Nov 25 '13 at 15:45
I obtained these commands via the Wolfram interface. I have version 9 at work. What would be a good way of setting this up? –  Ben Nov 25 '13 at 16:20
From the docs, RegionPlot[x^2 + y^3 < 2, {x, -2, 2}, {y, -2, 2}], and the like. –  rcollyer Nov 25 '13 at 17:19

Use the RegionPlot function, which is described (with several examples) in the documentation.

Example:

RegionPlot[x^2+y^2 < 1, {x,-2,2}, {y,-2,2}]

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Thank you. But now, how would I include an algebraic curve into that graph? –  Ben Nov 25 '13 at 17:56