Let A, B, C be three sets such that $A&c

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Home Questions GG3342SKU6

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let A, B, C be three sets such that $A∪B∪C=U$, where U is the universal set. Then, $\{(A-B)∪(B-C)∪(C-A)\}'$ is equal to

Options:

$A∪B∪C$

$A∪(B∩C)$

$A∩B∩C$

$A∩(B∪C)$

Correct Answer:

$A∩B∩C$

Explanation:

$\{(A-B)∪(B-C)∪(C-A)\}'$

$=(A-B)'∩(B-C)'∩(C-A)'$

$=A∩B∩C$