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If A = {1, 5} and B = {2, 4}, what is 𝐴×𝐵?{(1,1), (1,4), (5,2), (4,4)}{(1,2), (1,4), (5,2), (5,4)}{(1,1), (2,2), (5,5), (4,4)}None of the above

Question

If A = {1, 5} and B = {2, 4}, what is 𝐴×𝐵?{(1,1), (1,4), (5,2), (4,4)}{(1,2), (1,4), (5,2), (5,4)}{(1,1), (2,2), (5,5), (4,4)}None of the above

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Solution

The correct answer is {(1,2), (1,4), (5,2), (5,4)}. This is because the Cartesian product A x B is a set of all ordered pairs (a, b) where a is in A and b is in B. So, for A = {1, 5} and B = {2, 4}, the Cartesian product A x B is {(1,2), (1,4), (5,2), (5,4)}.

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