Question

Let U be the universal set, where: U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 } Let sets A and B be subsets of U , where: A = { 2 , 3 , 9 } and B = { 3 , 5 , 6 , 7 , 9 } Find ( A ∩ B ) c : { } Find A c ∪ B c : { } Enter the elements as a list, separated by commas in order from smallest to largest. If the result is the empty set, enter DNE You may want to draw a Venn Diagram to help answer this question.

Answer 1

1. (A ∩ B)c = {2, 5, 6, 7, 10, 1, 4, 8}

2. Ac ∪ B c = {2, 5, 6, 7, 8, 10, 14}

Explanation:

1. A ∩ B = {3, 9}

Then (A ∩ B)c = {2, 5, 6, 7, 10, 1, 4, 8}

2. Ac = {5, 6, 7, 10, 1, 4, 8}

Bc = {2, 10, 1, 4, 8}

Then Ac ∪ Bc = {2, 5, 6, 7, 8, 10, 14}