In a Venn diagram, what is B − A equal to?
Answer and explanation
Correct answer: A′ ∩ B
Set difference B − A means the elements that belong to B but do not belong to A. The complement A′ represents all elements outside A, so the required region is B ∩ A′. Since intersection is commutative, B ∩ A′ = A′ ∩ B. Option A represents A − B, option C is the union, and option D is the common region. Hence, option B is correct.
Frequently asked questions
What is the correct answer to this question?
A′ ∩ B
Why is this the correct answer?
Set difference B − A means the elements that belong to B but do not belong to A. The complement A′ represents all elements outside A, so the required region is B ∩ A′. Since intersection is commutative, B ∩ A′ = A′ ∩ B. Option A represents A − B, option C is the union, and option D is the common region. Hence, option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
