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NTA Abhyas JEE Main2020MathematicsSets and RelationsPractice

If A = 1 , 3 , 5 , 7 , 9 , 11 , 13 , 15 , B = 2 , 4 , … , 16 and N is the universal set, then A ′ ∪ A ∪ B ∩ B ′ is (where, N is the set of natural numbers)

Options

  1. AA
  2. BN
  3. CB
  4. DNone of these

Correct answer

B. N

Step-by-step solution

We know that, A ∪ B ∩ B ′ = A (as, A ∩ B = ϕ ) So, A ∪ B ∩ B ′ ∪ A ′ = A ∪ A ′ = N

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