If A ∩ B = A and A ∪ B = B, which relation between A and B is correct?
Answer and explanation
Correct answer: A ⊆ B
The equality A ∩ B = A means that intersecting A with B does not remove any element of A. Thus every element of A must already belong to B, which is precisely the statement A ⊆ B. The equality A ∪ B = B expresses the same fact: adding A to B contributes no new elements. Equality of A and B is not required.
Frequently asked questions
What is the correct answer to this question?
A ⊆ B
Why is this the correct answer?
The equality A ∩ B = A means that intersecting A with B does not remove any element of A. Thus every element of A must already belong to B, which is precisely the statement A ⊆ B. The equality A ∪ B = B expresses the same fact: adding A to B contributes no new elements. Equality of A and B is not required.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
