Which statement gives the correct meaning of a proper subset?
Answer and explanation
Correct answer: A ⊂ B means every element of A belongs to B, and A is not equal to B.
A proper subset is a subset that is strictly smaller than the containing set. Thus, A ⊂ B requires two conditions: every element of A must also be an element of B, and A must not be equal to B. For example, {1, 2} is a proper subset of {1, 2, 3}. Therefore, option A gives the complete and correct definition.
Frequently asked questions
What is the correct answer to this question?
A ⊂ B means every element of A belongs to B, and A is not equal to B.
Why is this the correct answer?
A proper subset is a subset that is strictly smaller than the containing set. Thus, A ⊂ B requires two conditions: every element of A must also be an element of B, and A must not be equal to B. For example, {1, 2} is a proper subset of {1, 2, 3}. Therefore, option A gives the complete and correct definition.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
