Question

Help with Venn Diagram / Set Operation Question (100 points)

Answer 1

Answer:

1)

Find the union of A and B:

• A∪B = {2,3,4,5,6,7,9,10,11,13,14,15,18,19,20}

Find the complement of above:

• (A∪B)$^{C}$ =
• U\(A∪B) =
• {1,2,3,4,...,18,19,20}\ {2,3,4,5,6,7,9,10,11,13,14,15,18,19,20} =
• {1,8,12,16}

2)

Find the intersection of A∩C:

• A∩C = {5,6,7,14,20}

Find the complement of above:

• (A∩C)$^C$ =
• U\(A∩C) =
• {1,2,3,4,...,18,19,20}\ {5,6,7,14,20} =
• {1,2,3,4,8,9,10,11,12,13,15,16,17,18,19}