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📐 Mathematics  ·  Sets  ·  JEE

If A ⊆ B and B ⊆ A, then it follows that:

Answer: A = B.

  • A A = B
  • B A ≠ B
  • C A is empty
  • D B is empty

Correct answer: A. A = B

Explanation: Mutual inclusion means the two sets have exactly the same elements, so A = 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

Read the full Sets notes →