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Choose the expression that gives exactly the orange regions.

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

Step-by-Step Solution

Orange: the A-only part and the lens outside A. gives A plus that lens; removing wipes out every part of A that touches or , leaving exactly the two orange parts. alone keeps all of A, keeps the A– lens and the centre, and the symmetric difference keeps the A– and A– lenses.
Answer: B) (A ∪ (B ∩ C)) − (A ∩ (B ∪ C))

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