Source: Extra Practice
If A = {1, 2} and B = {3, 4}, which of the following is the Cartesian product A × B?
Options
Option A is correct
{(1, 3), (1, 4), (2, 3), (2, 4)}
Option B
{(3, 1), (4, 1), (3, 2), (4, 2)}
Option C
{(1, 2), (3, 4)}
Option D
{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.