If A = {1, 2} and B = {3, 4}, which of the following is the Cartesian product A × B?

Model Answer & Options

Source: Extra Practice

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

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

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

{4, 5, 5, 6}

Explanation

A × B is the set of all ordered pairs (a, b) where a ∈ A and b ∈ B. For A={1,2} and B={3,4}, the pairs are (1,3), (1,4), (2,3), and (2,4). Option 2 is B × A. Option 3 is just a subset of A ∪ B elements paired incorrectly. Option 4 represents sums, which is not the Cartesian product.

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