If U is the set of all students in a class and G is the set of students wearing glasses, what does G′ represent?
Answer and explanation
Correct answer: Class students not wearing glasses
The complement of G is taken relative to the universal set U. Therefore, G′ contains every student in the class who is not in G, meaning every student who does not wear glasses. It does not represent teachers or only absent students, because those groups are not defined by the given universal set and condition.
Frequently asked questions
What is the correct answer to this question?
Class students not wearing glasses
Why is this the correct answer?
The complement of G is taken relative to the universal set U. Therefore, G′ contains every student in the class who is not in G, meaning every student who does not wear glasses. It does not represent teachers or only absent students, because those groups are not defined by the given universal set and condition.
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.
