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A relation `R = {(x,y) : x \gt y}` defined on the set `A = {x : x \in N, 1 \le x \le 5}`. Express `R` as the set of ordered pair.

Ans: {(2,1), (3,1), (3,2), (4,1), (4,2), (4,3), (5,1), (5,2), (5,3), (5,4)}

A relation `R` defined on the set `A = {2, 5, 7, 10}` by `x R y \iff x \equiv y (mod 5)`. Express `R` as a set of ordered pair.

Ans: R ={(2, 7), (7, 2), (5, 10), (10, 5), (2, 2), (5, 5), (7, 7) , (10, 10)}