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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.

Text Solution

Verified by Experts

Given, A = {3,5}, B = {7,11}.
Now, `R={(a,b):ainA,binBanda-b" is even"}`
`={(3,7),(3,11),(5,7),(5,11)}`
Also, `AxxB={(3,7),(3,11),(5,7),(5,11)}`
Clearly, `R = A xx B`
Hence, R is an universal relation from A to B.
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