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Which set does the orange region show? (′ means the complement within U.)

Competition practiceVenn Diagrams
  • A(A ∪ B)′
  • B(A ∩ B) ∪ (A ∪ B)′
  • C(A − B) ∪ (B − A)
  • DA ∩ B

Step-by-Step Solution

The common lens of A and is shaded, and so is everything outside both circles. That is together with the complement of alone would leave the lens white, and is exactly the white part.
Answer: B) (A ∩ B) ∪ (A ∪ B)′

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