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Question
If A = {1, 2, 3}, B = {4, 5, 6} which of following are relation from A to B : R3 = {(1, 4), (1, 5), (3, 6), (2, 6), (3, 4)}
Solution
A = {1, 2, 3}, B = {4, 5, 6}
∴ A × B = {(1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6)}
R3 = {(1, 4), (1, 5), (3, 6), (2, 6), (3, 4)}
Since, R3 ⊆ A × B
∴ R3 is a relation from A to B.
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