A Venn diagram shows U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {2, 4, 6, 8, 10} and B = {1, 2, 3, 4, 5}. What is n(A' ∩ B)?

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Question

A Venn diagram shows U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {2, 4, 6, 8, 10} and B = {1, 2, 3, 4, 5}. What is n(A' ∩ B)?

Accepted Answer

A) 3 — A' = {1, 3, 5, 7, 9} (elements not in A). A' ∩ B = elements in both A' and B = {1, 3, 5}, so n(A' ∩ B) = 3. Students often incorrectly compute A ∩ B first and then try to find its complement rather than finding A' first.

Answer

A) 3

Answer

D) 7

Answer

C) 5

Answer

B) 2

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