If A ⊆ B and B ⊆ A, what is the conclusion?
Answer and explanation
Correct answer: A = B / A and B are equal
Two sets are equal precisely when each set is a subset of the other. The condition A ⊆ B says that every element of A is in B, while B ⊆ A says that every element of B is in A. Together, these statements show that the sets contain exactly the same elements. Therefore A = B; neither set is required to be empty.
Frequently asked questions
What is the correct answer to this question?
A = B / A and B are equal
Why is this the correct answer?
Two sets are equal precisely when each set is a subset of the other. The condition A ⊆ B says that every element of A is in B, while B ⊆ A says that every element of B is in A. Together, these statements show that the sets contain exactly the same elements. Therefore A = B; neither set is required to be empty.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
