Let A and B be two sets. The $(A∪B)'

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let A and B be two sets. The $(A∪B)'∪(A'∩B)=$

Options:

$A'$

$A$

$B'$

none of these

Correct Answer:

$A'$

Explanation:

We have,

$(A∪B)'∪(A'∩B)=$

$=(A'∩B')∪(A'∩B)$ Using demorgan's law

$⇒A'∩(B'∪ B)$ Using distributive law

$⇒A'∩(U)⇒A'∩U=A'$ (U = universal set)