Question

Given A = {2, 5, 7, 8} and B = {1, 5, 7}, determine A × B.


A × B 1 5 7
2 (1, 2) (5, 2) (7, 2)
5 (1, 5) (5, 5) (7, 5)
7 (1, 7) (5, 7) (7, 7)
8 (1, 8) (5, 8) (7, 8)

A × B 2 5 7 8
1 (2, 1) (5, 1) (1, 7) (1, 8)
5 (2, 5) (5, 5) (5, 7) (5, 8)
7 (2, 7) (5, 7) (7, 7) (7, 8)

A × B 1 5 7
2 (2, 1) (2, 5) (2, 7)
5 (5, 1) (5, 5) (5, 7)
7 (7, 1) (7, 5) (7, 7)
8 (8, 1) (8, 5) (8, 7)

A × B 2 5 7 8
1 (1, 2) (1, 5) (7, 1) (8, 1)
5 (5, 2) (5, 5) (7, 5) (8, 5)
7 (7, 2) (7, 5) (7, 7) (8, 7)

Answer 1

@toga

Answer 2

Given A = {2, 5, 7, 8} and B = {1, 5, 7}, the Cartesian product A × B is as follows:

A × B 1 5 7
2 (2, 1) (2, 5) (2, 7)
5 (5, 1) (5, 5) (5, 7)
7 (7, 1) (7, 5) (7, 7)
8 (8, 1) (8, 5) (8, 7)

The elements in the first set A are paired with the elements in the second set B to form ordered pairs. Each ordered pair is represented by a row in the table above. The first element of each ordered pair is from set A and the second element is from set B.