Answer:
A × B = {(6, 5), (6, 10), (13, 5), (13, 10), (10, 5), (10, 10)}
Explanation:
Given sets:
- A = {6, 13, 10}
- B = {5, 10}
For two sets A and B, the Cartesian product A × B is defined as:
A × B = a ∈ A and b ∈ B
Therefore, the Cartesian product of two sets A and B includes all possible combinations of elements from A and B as ordered pairs. The first element in each pair comes from set A, and the second element comes from set B.
Therefore:
A × B = {(6, 5), (6, 10), (13, 5), (13, 10), (10, 5), (10, 10)}
So, the Cartesian product A × B contains the ordered pairs (6, 5), (6, 10), (13, 5), (13, 10), (10, 5), and (10, 10).