If U = {2,4,6,8} and A = U, what is Aᶜ?
Answer and explanation
Correct answer: ∅
The complement of A contains elements of U that are not in A. Here A is exactly equal to U, so every element of the universal set is already included in A. No element remains outside A, and therefore Aᶜ is the empty set ∅. This is the standard identity Uᶜ = ∅. Options C and D are only partial subsets of U, not the complete complement.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
The complement of A contains elements of U that are not in A. Here A is exactly equal to U, so every element of the universal set is already included in A. No element remains outside A, and therefore Aᶜ is the empty set ∅. This is the standard identity Uᶜ = ∅. Options C and D are only partial subsets of U, not the complete complement.
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.
