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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
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
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