If U = {1,2,3,4,5,6,7,8,9,10}, A = {1,3,5,7,9}, and B = Aᶜ, what is B?
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Answer and explanation
Correct answer: {2,4,6,8,10}
The complement Aᶜ is taken relative to U, so it contains the elements of U that are absent from A. Set A contains all the odd numbers from 1 through 10: 1, 3, 5, 7, and 9. The remaining elements of U are the even numbers {2,4,6,8,10}. Since B = Aᶜ, B equals this set, making option A correct.
Frequently asked questions
What is the correct answer to this question?
{2,4,6,8,10}
Why is this the correct answer?
The complement Aᶜ is taken relative to U, so it contains the elements of U that are absent from A. Set A contains all the odd numbers from 1 through 10: 1, 3, 5, 7, and 9. The remaining elements of U are the even numbers {2,4,6,8,10}. Since B = Aᶜ, B equals this set, making option A correct.
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.
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