If \(U=\{1,2,3,4,5,6,7,9\}\) and \(A=\{1,3,5,7,9\}\), what is \(A'\)?
Answer and explanation
Correct answer: \(\{2,4,6\}\)
The complement \(A'\) is formed by selecting elements that belong to the universal set \(U\) but do not belong to \(A\). The elements 1, 3, 5, 7, and 9 are removed from \(U\), leaving 2, 4, and 6. Hence \(A'=\{2,4,6\}\), so option A is correct. Option C is wrong because 8 is not even in the universal set; option B repeats \(A\), and option D contains an element already in \(A\).
Frequently asked questions
What is the correct answer to this question?
\(\{2,4,6\}\)
Why is this the correct answer?
The complement \(A'\) is formed by selecting elements that belong to the universal set \(U\) but do not belong to \(A\). The elements 1, 3, 5, 7, and 9 are removed from \(U\), leaving 2, 4, and 6. Hence \(A'=\{2,4,6\}\), so option A is correct. Option C is wrong because 8 is not even in the universal set; option B repeats \(A\), and option D contains an element already in \(A\).
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.
