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De Morgan law states: (A ∪ B)' =

Answer: A' ∩ B'.

  • A A' ∪ B'
  • B A' ∩ B'
  • C A ∩ B
  • D A' − B'

Correct answer: B. A' ∩ B'

Explanation: De Morgan first law: complement of union = intersection of complements. (A union B)' = A' intersect B'.

Set Operations: Union, Intersection, ComplementUABA∩BOutside both circles = (A∪B)' = A'∩B' (De Morgan)A∪B = everything in either circle; A∩B = only the overlap

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

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