If U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {1, 4, 9}, what is the complement Aᶜ of A with respect to U?
Answer and explanation
Correct answer: {2, 3, 5, 6, 7, 8}
By definition, Aᶜ = U − A, so we list the elements of U and exclude every element belonging to A. Removing 1, 4, and 9 from U = {1, 2, 3, 4, 5, 6, 7, 8, 9} leaves {2, 3, 5, 6, 7, 8}. Option B is A itself, not its complement, while the other options either include elements of A or omit valid elements.
Frequently asked questions
What is the correct answer to this question?
{2, 3, 5, 6, 7, 8}
Why is this the correct answer?
By definition, Aᶜ = U − A, so we list the elements of U and exclude every element belonging to A. Removing 1, 4, and 9 from U = {1, 2, 3, 4, 5, 6, 7, 8, 9} leaves {2, 3, 5, 6, 7, 8}. Option B is A itself, not its complement, while the other options either include elements of A or omit valid elements.
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.
