Let A and B be two sets such that A ∩ B = ϕ. Find the value of (A… - Vidyadip

MCQ

Let A and B be two sets such that A ∩ B = ϕ. Find the value of (A ∪ B′) =

A
A′
B
B
C
ϕ
D
none of these.

✓

Answer

B

Solution:

Given, A ∩ B = ϕ.

Now,

(A ∪ B′)

= (A′ ∩ B)′ [Using De Morgan's law]

= B′.[ As A′ ∩ B = B − (A ∩ B) = B since A ∩ B = ϕ]

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