Final answer:
The Cartesian product A×B of the sets A = {a, m} and B = {q, w, z} is the set {(a, q), (a, w), (a, z), (m, q), (m, w), (m, z)}, consisting of all possible ordered pairs formed by pairing each element from A with each element from B.
Step-by-step explanation:
The task is to find the Cartesian product of the sets A and B, where A = {a, m} and B = {q, w, z}. The Cartesian product A×B is the set of all ordered pairs (x, y) where x is an element of A and y is an element of B. To find A×B, we pair each element in A with each element in B.
- Pair 'a' from A with each element in B, resulting in (a, q), (a, w), (a, z).
- Pair 'm' from A with each element in B, resulting in (m, q), (m, w), (m, z).
Combining these pairs, the Cartesian product A×B is {(a, q), (a, w), (a, z), (m, q), (m, w), (m, z)}.