If A ⊆ B and A ≠ B, what is A called with respect to B?
Answer and explanation
Correct answer: A proper subset of B
A proper subset is a set whose every element belongs to another set, while the two sets are not equal. The condition A ⊆ B establishes that all elements of A are in B. The additional condition A ≠ B ensures that B has at least one element not contained in A. Thus A is a proper subset of B. Nothing in the statement requires A to be empty or B to be a universal set.
Frequently asked questions
What is the correct answer to this question?
A proper subset of B
Why is this the correct answer?
A proper subset is a set whose every element belongs to another set, while the two sets are not equal. The condition A ⊆ B establishes that all elements of A are in B. The additional condition A ≠ B ensures that B has at least one element not contained in A. Thus A is a proper subset of B. Nothing in the statement requires A to be empty or B to be a universal set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
