Sets A and B are disjoint. Which statement is correct?
Answer and explanation
Correct answer: \(A\cap B=\varnothing\)
Two sets are called disjoint when they have no element in common. The intersection records exactly the common elements, so for disjoint sets the intersection must be the empty set: \(A\cap B=\varnothing\). Their union need not be empty because both sets may contain many elements. Disjointness also does not imply equality or that one set is a subset of the other.
Frequently asked questions
What is the correct answer to this question?
\(A\cap B=\varnothing\)
Why is this the correct answer?
Two sets are called disjoint when they have no element in common. The intersection records exactly the common elements, so for disjoint sets the intersection must be the empty set: \(A\cap B=\varnothing\). Their union need not be empty because both sets may contain many elements. Disjointness also does not imply equality or that one set is a subset of the other.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
