Zaymiey

📐 Mathematics  ·  Sets  ·  JEE

A ∪ B means:

Answer: Elements in A or B or both.

  • A Elements present in A but not B
  • B Elements present in both A and B simultaneously
  • C Elements in A or B or both
  • D Elements present in B but not A

Correct answer: C. Elements in A or B or both

Explanation: Union A union B contains all elements that are in A, in B, or in both.

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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