JEE Mathematics · Easy

Sets, Relations and Functions: De Morgan's laws MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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De Morgan's lawsEasyQuestion 410002

Question

(A ∪ B)' (complement of union) equals:
  1. A
    A' ∩ B'
    Correct
  2. B
    A' ∪ B'
  3. C
    A ∩ B
  4. D
    A ∪ B

Correct answer

A' ∩ B'

Explanation

De Morgan's Laws: (A ∪ B)' = A' ∩ B' and (A ∩ B)' = A' ∪ B'. Complement of union = intersection of complements.