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If A = {1, 2, 3}, B = {4, 5, 6} which of following are relation from A to B : R_{1} = {(1, 4), (1, 5), (1, 6)}

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#### 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)}

R_{1} = {(1, 4), (1, 5), (1, 6)}

Since R_{1} ⊆ A × B

∴ R_{1} is a relation from A to B.

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