A universal set U consists of 20 elements. If sets A, B, and...

A universal set U consists of 20 elements. If sets A, B, and C are proper subsets of U and n(U) = 20, n(A ? B) = n(A ? C) = n(B ? C) = 7, n(A ? B ? C) = 2, and n(A ? B ? C) = 17, determine each of the following. a) n(A ? B) b) n(A' ? C) c) n(A ? B)' a) n(A ? B) = (Simplify your answer.) b) n(A' ? C) = (Simplify your answer.) c) n(A ? B)' = (Simplify your answer.)

Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17} Let sets A, B, and C be subsets of U, where: A = {1, 3, 4, 5, 12, 14, 15} B = {1, 2, 7, 13} C = {3, 7, 10, 14, 16} Find the following: LIST the elements in the set Aᶜ ∪ ∅ : Aᶜ ∪ ∅ = { } Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the set B ∩ C : B ∩ C = { } Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the set Aᶜ ∪ B : Aᶜ ∪ B = { } Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the set (B ∩ A) ∩ Cᶜ : (B ∩ A) ∩ Cᶜ = { } Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE You may want to draw a Venn Diagram to help answer this question.

Sandra K.

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