If A ∩ B = ∅, what are A and B called?
Answer and explanation
Correct answer: Disjoint sets
Two sets are called disjoint sets when they have no common element. The statement A ∩ B = ∅ precisely says that the intersection of A and B is empty, so no element belongs to both sets. Therefore, A and B are disjoint. They need not have the same number of elements, and neither set must contain the other. Hence, option A is the only correct description.
Frequently asked questions
What is the correct answer to this question?
Disjoint sets
Why is this the correct answer?
Two sets are called disjoint sets when they have no common element. The statement A ∩ B = ∅ precisely says that the intersection of A and B is empty, so no element belongs to both sets. Therefore, A and B are disjoint. They need not have the same number of elements, and neither set must contain the other. Hence, option A is the only correct description.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
