In a class, U is the set of all students and A is the set of students who play cricket. What does Aᶜ represent?
Answer and explanation
Correct answer: Students who do not play cricket
The complement Aᶜ contains every member of the universal set U that does not belong to A. Here U includes all students in the class, while A includes only students who play cricket. Therefore Aᶜ represents the students in the class who do not play cricket. It does not mean all students, only cricket players, or an empty group.
Frequently asked questions
What is the correct answer to this question?
Students who do not play cricket
Why is this the correct answer?
The complement Aᶜ contains every member of the universal set U that does not belong to A. Here U includes all students in the class, while A includes only students who play cricket. Therefore Aᶜ represents the students in the class who do not play cricket. It does not mean all students, only cricket players, or an empty group.
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.
