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

Help With Venn Diagram Set Operation Question 100 Points class=

Answer :

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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)[tex]^{C}[/tex] =
  • 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)[tex]^C[/tex] =
  • 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}

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