If A = {1, 2, 3} and B = {1, 2, 3}, which statement is correct?
Advertisement
Answer and explanation
Correct answer: A ⊆ B and B ⊆ A
The two sets contain exactly the same elements: 1, 2, and 3. Since every element of A is also an element of B, A is a subset of B. Similarly, every element of B is in A, so B is a subset of A. This proves that A and B are equal sets, and both subset relations hold.
Frequently asked questions
What is the correct answer to this question?
A ⊆ B and B ⊆ A
Why is this the correct answer?
The two sets contain exactly the same elements: 1, 2, and 3. Since every element of A is also an element of B, A is a subset of B. Similarly, every element of B is in A, so B is a subset of A. This proves that A and B are equal sets, and both subset relations hold.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
Advertisement