5. Let A = (x, y), B = {1,2). Find the Cartesian products of A and B: A x B? (Hint: the result will be a set of pairs (a, b) where a E A and b e B)

Answer: A x B = { (x, 1), (x, 2), (y, 1), (y, 2) }

Step-by-step explanation:

The Cartesian product of any two sets M and N is the set of all possible ordered pairs such that the elements of M are first values and the elements of N are the second values.

The Cartesian product of sets M and N is denoted by M * N.

For Example : M = {x, y} and N={a, b}

Then, M * N = { (x, a), (x, b), (y, a), (y, b) }

Given : Let A = {x, y}, B = {1,2}

Then, the Cartesian products of A and B will be:

A x B = { (x, 1), (x, 2), (y, 1), (y, 2) }

Hence, the Cartesian products of A and B = A x B = { (x, 1), (x, 2), (y, 1), (y, 2) }