If A = {a, b} and B = {a, b, c}, which of the following statements is true?
Answer and explanation
Correct answer: A ⊂ B
To be a subset of B, every element of A must belong to B. Both a and b are in B, so A ⊆ B. In addition, B contains c, which is not in A. Therefore A is not equal to B and is a proper subset of B, written A ⊂ B. Option B reverses the relationship, option C ignores the extra element c, and option D contradicts the membership check. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
A ⊂ B
Why is this the correct answer?
To be a subset of B, every element of A must belong to B. Both a and b are in B, so A ⊆ B. In addition, B contains c, which is not in A. Therefore A is not equal to B and is a proper subset of B, written A ⊂ B. Option B reverses the relationship, option C ignores the extra element c, and option D contradicts the membership check. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
