If A ∩ B = ∅, then what is A − B equal to?
Answer and explanation
Correct answer: A
The condition A ∩ B = ∅ says that A and B are disjoint, so they have no common elements. The difference A − B removes from A only elements that also belong to B. Because no element of A belongs to B, nothing is removed, and A − B remains A. It is not empty unless A itself is empty; neither B nor the union is generally equal to the difference.
Frequently asked questions
What is the correct answer to this question?
A
Why is this the correct answer?
The condition A ∩ B = ∅ says that A and B are disjoint, so they have no common elements. The difference A − B removes from A only elements that also belong to B. Because no element of A belongs to B, nothing is removed, and A − B remains A. It is not empty unless A itself is empty; neither B nor the union is generally equal to the difference.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
