Which property is shown by A ∩ B = B ∩ A?
Answer and explanation
Correct answer: Commutative property
The equation A ∩ B = B ∩ A says that the intersection remains unchanged when the order of A and B is reversed. Therefore, it expresses the commutative property of intersection. It does not describe difference, the empty set, or complements, because none of those operations is represented in the given equation.
Frequently asked questions
What is the correct answer to this question?
Commutative property
Why is this the correct answer?
The equation A ∩ B = B ∩ A says that the intersection remains unchanged when the order of A and B is reversed. Therefore, it expresses the commutative property of intersection. It does not describe difference, the empty set, or complements, because none of those operations is represented in the given equation.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
