If A ⊆ B, then A ∩ B is equal to what?
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Answer and explanation
Correct answer: A
When A ⊆ B, every element of A is also contained in B. The intersection A ∩ B consists of elements common to both sets. Because all elements of A are common to A and B, and B cannot contribute an element that is not in A to the intersection, the result is exactly A. Hence A ∩ B = A, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
A
Why is this the correct answer?
When A ⊆ B, every element of A is also contained in B. The intersection A ∩ B consists of elements common to both sets. Because all elements of A are common to A and B, and B cannot contribute an element that is not in A to the intersection, the result is exactly A. Hence A ∩ B = A, so option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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