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Define the following sets (30 points) (a) X = {(x, y) = R: y = f(x) = 3x + 3y 42} =1 (b) Y={(x,


 

Define the following sets (30 points) (a) X = {(x, y) = R: y = f(x) = 3x + 3y 42} =1 (b) Y={(x, y) = R: y = f(x) = 2x + 2y 42} (c) Z = XUY (d) Prove whether or not each set defined above is convex?

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