Which property is shown by \(A\cup B=B\cup A\)?
Answer and explanation
Correct answer: Commutative property
The equation \(A\cup B=B\cup A\) shows that interchanging the order of the two sets does not change their union. This is called the commutative property of union, just as \(a+b=b+a\) is commutativity for addition. The associative property involves three sets and parentheses, the distributive property connects union with intersection, and the identity property involves the empty set or universal set.
Frequently asked questions
What is the correct answer to this question?
Commutative property
Why is this the correct answer?
The equation \(A\cup B=B\cup A\) shows that interchanging the order of the two sets does not change their union. This is called the commutative property of union, just as \(a+b=b+a\) is commutativity for addition. The associative property involves three sets and parentheses, the distributive property connects union with intersection, and the identity property involves the empty set or universal set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
