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