If U = {1,2,3,4,5,6,7,8,9} and A = {2,3,5}, which of the following sets B is not the complement of A?
Answer and explanation
Correct answer: {1,4,6,7,8}
The complement of A relative to U contains every element of U that is absent from A. Therefore Aᶜ = U \ A = {1,4,6,7,8,9}. Option B lists exactly these six elements, and options C and D express the same set using difference notation and set-builder notation. Option A omits 9, so it is not the complement.
Frequently asked questions
What is the correct answer to this question?
{1,4,6,7,8}
Why is this the correct answer?
The complement of A relative to U contains every element of U that is absent from A. Therefore Aᶜ = U \ A = {1,4,6,7,8,9}. Option B lists exactly these six elements, and options C and D express the same set using difference notation and set-builder notation. Option A omits 9, so it is not the 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.
