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Question

If A = {1, 3, 5} and B = {2, 4}, list the elements of R, if R = {(x,y):x,yϵA×B and x > y}.


Solution

We have,

A = {1, 3, 5} and B = {2, 4}

A×B={1,3,5}×{2,4}

= {(1, 2), (1, 4), (3, 2), (3, 4), (5, 2), (5, 4),}

Clearly, (3,2)ϵR,(5,2)ϵR, and (5,4)ϵR,

R={(3,2),(5,2),(5,4)}

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