Question: Consider the set: Consider the set X = {(x, y) ER' | xy 0}. (a) Verify that the set is not convex (you can plot

Consider the set:

Consider the set X = {(x, y) ER' | xy 0}. (a) Verify that the set is not convex (you can plot it to demonstrate it is non-convex). (b) Determine the convex hull conv(X ) by providing the plot and the algebraic de- scription of conv(X) (in terms of inequalities and / or equalities)

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