If A = {2, 3, 5} and B = {2, 3, 5, 7}, which statement is true?
Answer and explanation
Correct answer: A ⊆ B and A ≠ B
Every element of A—2, 3, and 5—is also found in B, so A ⊆ B. However, B contains the additional element 7, which is not in A; therefore A ≠ B. Thus A is a proper subset of B. Option B fails because equality requires identical elements, option C fails because 7 is not in A, and option D is false for the same membership reason.
Frequently asked questions
What is the correct answer to this question?
A ⊆ B and A ≠ B
Why is this the correct answer?
Every element of A—2, 3, and 5—is also found in B, so A ⊆ B. However, B contains the additional element 7, which is not in A; therefore A ≠ B. Thus A is a proper subset of B. Option B fails because equality requires identical elements, option C fails because 7 is not in A, and option D is false for the same membership reason.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
