Let A = {3, 5) and B = {7, 11).
Let R = {(a, b): a €A, B € B, a - b is odd}
Show that R is an empty relation from A into B.
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Step-by-step explanation:
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Step-by-step explanation:
A={3,5} B={7,11}
R=(a,b):a∈A,b∈B,a−b is odd.
Let B=7,a=3
b−a=4, which is even.
Each element of B is odd & A also has odd elements.
Hence a−b is never be odd, it will always negetive even no.
Hence R=(a,b)∈ϕ.
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