Answer: (A ∩ B) ∪ (A ∩ C).
- A (A ∩ B) ∪ (A ∩ C)
- B (A ∪ B) ∩ (A ∪ C)
- C A ∪ B ∪ C
- D A ∩ B ∩ C
Correct answer: A. (A ∩ B) ∪ (A ∩ C)
Explanation: Intersection distributes over union: A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C).
A Venn diagram makes set identities visual: A∪B is everything inside either circle, A∩B is only the overlap, and the region outside both circles represents the complement of their union - directly illustrating De Morgan's law (A∪B)′ = A′∩B′.
Concept context
Types of sets, operations (union/intersection/complement), relations, and types of functions with domain and range