If A = {1, 2, 3} and B = {1, 2, 3, {1}}, what is the relation between A and B?
Answer and explanation
Correct answer: A ⊂ B and A ≠ B (A, B का उचित उपसमुच्चय है)
The elements 1, 2, and 3 of A all occur in B, so A is a subset of B. However, B also contains the element {1}, which is a set containing 1; it is not the same object as the number 1. Consequently, B has one additional element and A is a proper subset of B. The sets are not equal, B is not a subset of A, and their intersection is not empty because they share 1, 2, and 3.
Frequently asked questions
What is the correct answer to this question?
A ⊂ B and A ≠ B (A, B का उचित उपसमुच्चय है)
Why is this the correct answer?
The elements 1, 2, and 3 of A all occur in B, so A is a subset of B. However, B also contains the element {1}, which is a set containing 1; it is not the same object as the number 1. Consequently, B has one additional element and A is a proper subset of B. The sets are not equal, B is not a subset of A, and their intersection is not empty because they share 1, 2, and 3.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
