If A ∩ B = ∅, then (A ∪ B) − A is equal to what?
Answer and explanation
Correct answer: B
When A and B are disjoint, they have no common elements. The union A ∪ B contains all elements of A together with all elements of B. Removing A from this union removes only the elements belonging to A, leaving every element of B. Thus (A ∪ B) − A = B. The disjointness condition ensures that no element of B is also removed as an element of A, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
B
Why is this the correct answer?
When A and B are disjoint, they have no common elements. The union A ∪ B contains all elements of A together with all elements of B. Removing A from this union removes only the elements belonging to A, leaving every element of B. Thus (A ∪ B) − A = B. The disjointness condition ensures that no element of B is also removed as an element of A, so option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
