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Let A = {3,5}, B = {7,1}. Let R = {(a,...

Let A = {3,5}, B = {7,1}.
Let R = {(a,b): `ainA, binB, a-b` is even}.
Show that R is an universal relation from A to B.

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Since all numbers 3-7, 3-11, 5-7, 5-11 are even. Therefoer R = {(3, 7), (3, 11), (5, 7), (5, 11)}. Therefore R is a universal relation from A to B.
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