Question

Let U={1,2,3,4,5,6,7,8} a={4,6,8} B={2,3,7,8} C={1,5,7}AUB’ Find the sets using the rooster method A= {4,6,8} B=??Use the sets above to find A U B’

Answer 1

Given:

U = {1, 2, 3, 4, 5, 6, 7, 8}

A = {4, 6, 8}

B = {2, 3. 7. 8}

C = {1, 5, 7}

Find: A U B’

Solution:

The expression A U B’ means the combination of set A and the complement of Set B.

We already know what Set A is but we don't know yet the complement of Set B.

The Complement of Set B is the set of elements found in the Universal Set but not in Set B. Since set B contains 2, 3, 7, 8, then its complement would be 1, 4, 5, 6.

Therefore, we have Set A {4, 6, 8} and the complement of Set B {1, 4, 5, 6}.

When the two sets are combined, the result is {1, 4, 5, 6, 8}.

Answer:

A U B' = {1, 4, 5, 6, 8}.