Which statement is correct for a Venn diagram?
Answer and explanation
Correct answer: A ∩ B contains only the elements common to A and B.
The intersection A ∩ B is the set of elements that belong to both A and B, so it is represented by the overlapping region of their circles. The union contains elements from either set, A′ is not always empty, and the universal set is represented by the entire rectangle. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
A ∩ B contains only the elements common to A and B.
Why is this the correct answer?
The intersection A ∩ B is the set of elements that belong to both A and B, so it is represented by the overlapping region of their circles. The union contains elements from either set, A′ is not always empty, and the universal set is represented by the entire rectangle. Therefore, option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
