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Question

Let A={6,8}, B={1,3,5} and R={(a,b):aA,bB,abiseven}.
Show that R is an empty relation from A to B.

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Solution

Given, A={6,8} and B={1,3,5}
Thus, every element aA is an even number and every element bB is an odd number
So, (ab) will be an odd number
Thus, there is no pair (a,b) such that (ab) is even
Therefore, R is an empty relation.

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