In a Venn diagram, what set is B ∩ Aᶜ equal to?
Answer and explanation
Correct answer: B − A
The complement Aᶜ contains all elements that are not in A. Therefore, B ∩ Aᶜ contains those elements that belong to B and do not belong to A. This is exactly the definition of the set difference B − A, also written as B \ A, so option B is correct. In a Venn diagram, shade set B and remove its overlapping part with A. Option A represents elements in A but not B, while option C represents the common elements of A and B.
Frequently asked questions
What is the correct answer to this question?
B − A
Why is this the correct answer?
The complement Aᶜ contains all elements that are not in A. Therefore, B ∩ Aᶜ contains those elements that belong to B and do not belong to A. This is exactly the definition of the set difference B − A, also written as B \ A, so option B is correct. In a Venn diagram, shade set B and remove its overlapping part with A. Option A represents elements in A but not B, while option C represents the common elements of A and B.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
