If U = {1,2,3,4,5,6,7,8}, A = {1,2,5,8}, and C = {3,4,6,7}, which statement is correct?
Answer and explanation
Correct answer: C = Aᶜ
The complement of A is formed by selecting from U every element that is not in A. Since U contains 1 through 8 and A contains 1, 2, 5, and 8, the elements left outside A are {3,4,6,7}. This set is exactly C. Hence C = Aᶜ relative to U, making option A correct. The other options either equate C with A, all of U, or the empty set.
Frequently asked questions
What is the correct answer to this question?
C = Aᶜ
Why is this the correct answer?
The complement of A is formed by selecting from U every element that is not in A. Since U contains 1 through 8 and A contains 1, 2, 5, and 8, the elements left outside A are {3,4,6,7}. This set is exactly C. Hence C = Aᶜ relative to U, making option A correct. The other options either equate C with A, all of U, or the empty set.
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.
