If A = {2, 3, 4}, B = {2, 3, 4, 5}, and C = {3, 4}, which statement is correct?
Answer and explanation
Correct answer: C ⊂ A ⊂ B (C is a proper subset of A, and A is a proper subset of B)
Every element of C, namely 3 and 4, is present in A, and A also contains 2, so C is a proper subset of A. Every element of A is present in B, while B has the additional element 5, so A is a proper subset of B. Therefore, the complete proper-subset chain is C ⊂ A ⊂ B. The other options either reverse the inclusion, claim equality, or deny a relation that is clearly true.
Frequently asked questions
What is the correct answer to this question?
C ⊂ A ⊂ B (C is a proper subset of A, and A is a proper subset of B)
Why is this the correct answer?
Every element of C, namely 3 and 4, is present in A, and A also contains 2, so C is a proper subset of A. Every element of A is present in B, while B has the additional element 5, so A is a proper subset of B. Therefore, the complete proper-subset chain is C ⊂ A ⊂ B. The other options either reverse the inclusion, claim equality, or deny a relation that is clearly true.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
