If A⊆B and B⊆A, which conclusion is correct?
Answer and explanation
Correct answer: A=B / A equals B
The first relation, A⊆B, says that every element of A belongs to B. The second relation, B⊆A, says that every element of B belongs to A. Thus the two sets contain exactly the same elements, which is precisely the definition of equal sets. They do not have to be empty; for example, A=B={1,2} satisfies both subset relations.
Frequently asked questions
What is the correct answer to this question?
A=B / A equals B
Why is this the correct answer?
The first relation, A⊆B, says that every element of A belongs to B. The second relation, B⊆A, says that every element of B belongs to A. Thus the two sets contain exactly the same elements, which is precisely the definition of equal sets. They do not have to be empty; for example, A=B={1,2} satisfies both subset relations.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
