If U is the set of all students in a school and A is the set of Class 11 students, what does A′ represent?
Answer and explanation
Correct answer: School students who are not in Class 11
The complement A′ is defined relative to the universal set U. It contains every element of U that does not belong to A. Since U includes all students in the school and A includes the Class 11 students, A′ represents all school students who are not in Class 11. This could include students from several other classes, not necessarily only Class 12 students.
Frequently asked questions
What is the correct answer to this question?
School students who are not in Class 11
Why is this the correct answer?
The complement A′ is defined relative to the universal set U. It contains every element of U that does not belong to A. Since U includes all students in the school and A includes the Class 11 students, A′ represents all school students who are not in Class 11. This could include students from several other classes, not necessarily only Class 12 students.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
