If X and Y are two sets, then x \\capy'\\cap(x \\cupy)'; is

NIMCET 2021 Question Paper with solutions

Question : 41 of 120

Marks: +1, -0

X

and

Y

are two sets, then

x \∩y'\∩(x \∪y)';

Solution:

x \∩y'\∩(x \∪y)'

\⇒{y}'∩{x} ∩({x}'∩ {n}')

{De Morgan's theorem}

⇒{y}'∩{x} ∩({x}'∩{y}')=\ϕ

⇒{y}'∩\ϕ

\⇒\ϕ

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