Solution:
Since, R = {(3, 6); (4, 7); (5, 8)} then Domain (R) = {3, 4, 5} = A
We observe that no two ordered pairs in R have the same first component.
Therefore, R is a mapping from A to B.
(ii) Let A = {1, 2, 3} and B= {7, 11} and R = {(1, 7); (1, 11); (2, 11); (3, 11)}
Solution:
Since, R = {(1, 7); (1, 11); (2, 11); (3, 11)} then Domain (R) = {1, 2, 3} = A
But the ordered pairs (1, 7) (1, 11) have the same first component.
Therefore, R is not a mapping from A to B.
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