Let A = {1, 2, 3, 4} and R be the relation on A defined by {(a, b): a, b ∈ A, a×b is an even number}, then the range of R is __________________.

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Solution

Given: R = {(a, b): a, b ∈ A, a × b is an even number}, where A = {1, 2, 3, 4}.

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

Therefore, Range of R = {1, 2, 3, 4}

Hence, the range of R is {1, 2, 3, 4}.

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