If U = {1, 2, 3, 4, 5, 6, 7} and A = {2, 3, 5, 7}, which set is Aᶜ?
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Answer and explanation
Correct answer: {1, 4, 6}
To find Aᶜ, list the elements of U and retain only those that are absent from A. The elements 2, 3, 5, and 7 are in A, while 1, 4, and 6 are not. Therefore Aᶜ = {1, 4, 6}, making option A correct. Option B is A itself, option C incorrectly includes 2, and option D omits 1, 4, and 6.
Frequently asked questions
What is the correct answer to this question?
{1, 4, 6}
Why is this the correct answer?
To find Aᶜ, list the elements of U and retain only those that are absent from A. The elements 2, 3, 5, and 7 are in A, while 1, 4, and 6 are not. Therefore Aᶜ = {1, 4, 6}, making option A correct. Option B is A itself, option C incorrectly includes 2, and option D omits 1, 4, and 6.
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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