In a Venn diagram, what is A − B equal to?
Answer and explanation
Correct answer: A ∩ B′
The difference A − B consists of all elements that belong to A but do not belong to B. The complement B′ represents elements outside B, so requiring membership in both A and B′ gives A − B = A ∩ B′. This is the region inside A but outside B, hence option A.
Frequently asked questions
What is the correct answer to this question?
A ∩ B′
Why is this the correct answer?
The difference A − B consists of all elements that belong to A but do not belong to B. The complement B′ represents elements outside B, so requiring membership in both A and B′ gives A − B = A ∩ B′. This is the region inside A but outside B, hence option A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.