If U = {1,2,3,4,5,6} and A = {2,3,5}, what is U \ A equal to?
Answer and explanation
Correct answer: Aᶜ
The difference U \ A consists of the elements that belong to U but do not belong to A. From U = {1,2,3,4,5,6}, remove 2, 3, and 5. The remaining set is {1,4,6}. By the definition of a complement relative to U, this remaining set is Aᶜ. Therefore U \ A = Aᶜ, so option B is correct. The actual elements are {1,4,6}.
Frequently asked questions
What is the correct answer to this question?
Aᶜ
Why is this the correct answer?
The difference U \ A consists of the elements that belong to U but do not belong to A. From U = {1,2,3,4,5,6}, remove 2, 3, and 5. The remaining set is {1,4,6}. By the definition of a complement relative to U, this remaining set is Aᶜ. Therefore U \ A = Aᶜ, so option B is correct. The actual elements are {1,4,6}.
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.
