If U = {1,2,3,4,5,6,7,8,9} and Aᶜ = {2,5,8}, what is A?
Answer and explanation
Correct answer: {1,3,4,6,7,9}
A set and its complement partition the universal set: they contain no common elements and together contain every element of U. Since Aᶜ = {2,5,8}, obtain A by removing these three elements from U = {1,2,3,4,5,6,7,8,9}. The remaining elements are {1,3,4,6,7,9}. Thus option B is correct. Option A is the given complement, not A itself.
Frequently asked questions
What is the correct answer to this question?
{1,3,4,6,7,9}
Why is this the correct answer?
A set and its complement partition the universal set: they contain no common elements and together contain every element of U. Since Aᶜ = {2,5,8}, obtain A by removing these three elements from U = {1,2,3,4,5,6,7,8,9}. The remaining elements are {1,3,4,6,7,9}. Thus option B is correct. Option A is the given complement, not A itself.
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.
