If A and B are two sets, then $(A-B)∪(B-A)∪(A∩B)$ is equal to
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $A∪B$
It is evident from the Venn-diagram that
$(A-B)∪(B-A)=(A∪B)-(A∩B)$
$∴((A-B)∪(B-A))∪(A∩B)$
$=((A∪B) -(A∩B))∪(A∩B) = A∪B$