If \(U\) is the set of all books in a library and \(H\) is the set of Hindi books, what does \(H'\) represent?
Answer and explanation
Correct answer: Books in the library that are not Hindi books
The complement of a set is always defined relative to its universal set. Here, \(U\) contains every book in the library, while \(H\) contains only the Hindi books. Therefore, \(H'=U\setminus H\) consists of all books in the library that are not Hindi books, such as English or other-language books. It does not refer to authors, publication age, or books outside the library. Hence option B is correct.
Frequently asked questions
What is the correct answer to this question?
Books in the library that are not Hindi books
Why is this the correct answer?
The complement of a set is always defined relative to its universal set. Here, \(U\) contains every book in the library, while \(H\) contains only the Hindi books. Therefore, \(H'=U\setminus H\) consists of all books in the library that are not Hindi books, such as English or other-language books. It does not refer to authors, publication age, or books outside the library. Hence option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.
