If A = {a, b, c} and B = {a, b, c, d}, which statement about A and B is correct?
Answer and explanation
Correct answer: A ⊂ B
The elements a, b, and c of A all occur in B, so A is a subset of B. However, B also contains d, which is not in A. Therefore the two sets are not equal, and A is a proper subset of B, written A ⊂ B. Statement A is false because of the extra element d in B. Statement C reverses the inclusion, and statement D is false because every element of A is indeed in B.
Frequently asked questions
What is the correct answer to this question?
A ⊂ B
Why is this the correct answer?
The elements a, b, and c of A all occur in B, so A is a subset of B. However, B also contains d, which is not in A. Therefore the two sets are not equal, and A is a proper subset of B, written A ⊂ B. Statement A is false because of the extra element d in B. Statement C reverses the inclusion, and statement D is false because every element of A is indeed in B.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
