The universal set \(U\) is mainly used to determine which of the following?
Answer and explanation
Correct answer: The complement of a set
A universal set specifies the complete collection of objects under consideration in a particular problem. The complement of a set \(A\) is defined relative to this collection: \(A'=U-A\). Therefore, changing \(U\) can change the complement even when \(A\) remains the same. The universal set is not used only for empty sets, equal sets, or ordered pairs, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
The complement of a set
Why is this the correct answer?
A universal set specifies the complete collection of objects under consideration in a particular problem. The complement of a set \(A\) is defined relative to this collection: \(A'=U-A\). Therefore, changing \(U\) can change the complement even when \(A\) remains the same. The universal set is not used only for empty sets, equal sets, or ordered pairs, so option A 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.
