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In this question we prove that certain sets are not convex. For each of the following sets, give the coordinates of two points where

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In this question we prove that certain sets are not convex. For each of the following sets, give the coordinates of two points where P and Q are in the set, but the line from P to Q goes outside the set. For example, if the points are (1,2) and (3, 4), enter in the format (1,2), (3,4) (a) R = {(x, y) : x + y 1, y < 0} (-(3^(1/2))/2,-1/2),((3^(1/2))/2,-1/2) (b) S = {(x, y) : (x 2) + y 5} U {(x, y) : (x + 3) + y 10} (0,1),(0,-1) (c) T = {(x, y) : x > 3} n {(x,y) : y <5}

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