If A ⊆ B, which statement about the intersection is always true?
Answer and explanation
Correct answer: A ∩ B = A
When A ⊆ B, every element of A is also an element of B. The elements common to A and B are therefore exactly the elements of A, so A ∩ B = A. Option B would be true only if B ⊆ A as well, which is not given. Option C conflicts with A ⊆ B because A − B is empty. Option D is not necessarily true because B may contain elements that are not in A.
Frequently asked questions
What is the correct answer to this question?
A ∩ B = A
Why is this the correct answer?
When A ⊆ B, every element of A is also an element of B. The elements common to A and B are therefore exactly the elements of A, so A ∩ B = A. Option B would be true only if B ⊆ A as well, which is not given. Option C conflicts with A ⊆ B because A − B is empty. Option D is not necessarily true because B may contain elements that are not in A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
