Let R = {(x, y): y < x + 1} and S = {(x, y): y...

  

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Let R = {(x, y): y < x + 1} and S = {(x, y): y = x – 2} be а) the relations on the set of real numbers R. i Find Ro S and So R. ii. Find R-1 and S-1. b) in N, (a, b)R(x,y) iff ay = bx. Prove that R is an equivalence relation. Define R to be the following relation on N x N: For all a, b, x, y Let R = {(x, y): y < x + 1} and S = {(x, y): y = x – 2} be а) the relations on the set of real numbers R. i Find Ro S and So R. ii. Find R-1 and S-1. b) in N, (a, b)R(x,y) iff ay = bx. Prove that R is an equivalence relation. Define R to be the following relation on N x N: For all a, b, x, y