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Both regions have x^2 + y^3 > 2 x but the first has x^3 - y^2 > 2 y and the second has x^3 - y^2 2 x. You can check this with ContourPlot[x^3 - y^2 == 2 y, {x, -1, 1}, {y, -1, 1}, RegionFunction -> Function[{x, y}, x^2 + y^3 > 2 x] ]