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ExamsJEE AdvancedMaths

For any two sets A and B, the complement (A union B)' is equal to which of the following?

  1. A' intersect B'
  2. U minus (A union B)
  3. ((A minus B) union (B minus A))'
  4. A' intersect (U minus B)

Correct answer: A' intersect B'

Solution

By De Morgan's Law, the complement of a union equals the intersection of the complements: (A union B)' = A' intersect B'.

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