Question

What is (A' ∩ B) equal to given that A = {1, 3, 5, 7, 9, 11}, B = {1, 2, 4, 5, 7, 8, 10, 11} and W = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}?

Answer 1

A' ∩ B = {2, 4, 8, 10}

Step-by-step explanation

We want to find A' ∩ B.

First, we have to find A'.

To do that, we will need to find all the elements that are not in the set A but are in the universal set.

We are given that:

A = {1, 3, 5, 7, 9, 11}

W = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

=> A' = {2, 4, 6, 8, 10, 12}

The symbol ∩ means that we want to find ONLY the elements that are in the two sets, A' and B.

Therefore:

A' ∩ B = {2, 4, 8, 10}