If A and B are two sets, then $(A-B)&cup

CUET Preparation Today

Start Free Mocks

Home Questions JPA2HQUMRE

Target Exam

CUET

Subject

Mathematics

Chapter

Sets

Question:

If A and B are two sets, then $(A-B)∪(B-A)∪(A∩B)$ is equal to

Options:

$A∪B$

$A∩B$

Correct Answer:

$A∪B$

Explanation:

The correct answer is Option (1) → $A∪B$

It is evident from the Venn-diagram that

$(A-B)∪(B-A)=(A∪B)-(A∩B)$

$∴((A-B)∪(B-A))∪(A∩B)$

$=((A∪B) -(A∩B))∪(A∩B) = A∪B$