Question:
Let A={3,5} and B={7,11} Let R ={(a,b) : a belongs to A, b belongs to B, a-b is odd} Show that R is an empty relation from A into B
Answer:
Since, A={3,5} and B={7,11}
i.e., In both A and B elements are odd.
So, the difference between two odd numbers are always even.
Thus, there will not be any such element in R s.t.,R ={(a,b) : a belongs to A, b belongs to B, a-b is odd}
Hence, R = { }. i,e., R is an empty relation from A into B.
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