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Which expression describes the orange parts of the diagram?

Competition practiceVenn Diagrams
  • AA ∪ (B ∩ C)
  • B(A ∪ (B ∩ C)) − (A ∩ B ∩ C)
  • CA − (B ∩ C)
  • D(A − (B ∪ C)) ∪ ((B ∩ C) − A)

Step-by-Step Solution

Two parts are shaded: A on its own (outside and C) and the lens outside A. So the set is would shade the whole of A and the centre, and removing only the centre still leaves A's lenses shaded.
Answer: D) (A − (B ∪ C)) ∪ ((B ∩ C) − A)

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