(12 points, 2 for each) Determine which of the following sets are convex by drawing each...

 

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(12 points, 2 for each) Determine which of the following sets are convex by drawing each in the xy-plane. (b) {(x,y): 0, y 0} (a) {(x,y): x + y <2} (c) {(x,y): x + y > 8} (e) {(x,y): ay 1} (f) {(x, y): 2} (d) {(x,y): 0. y 0, xy1} (12 points, 2 for each) Determine which of the following sets are convex by drawing each in the xy-plane. (b) {(x,y): 0, y 0} (a) {(x,y): x + y <2} (c) {(x,y): x + y > 8} (e) {(x,y): ay 1} (f) {(x, y): 2} (d) {(x,y): 0. y 0, xy1}