If \(U=\{1,2,3,4,5,6,7\}\) and \(A=\{2,5,7\}\), what is \(A'\)?
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Answer and explanation
Correct answer: \{1,3,4,6\}
The complement \(A'\) consists of every element in the universal set \(U\) that is absent from \(A\). Begin with \(U=\{1,2,3,4,5,6,7\}\) and remove 2, 5, and 7, the elements of \(A\). The remaining elements are 1, 3, 4, and 6. Hence \(A'=U-A=\{1,3,4,6\}\).
Frequently asked questions
What is the correct answer to this question?
\{1,3,4,6\}
Why is this the correct answer?
The complement \(A'\) consists of every element in the universal set \(U\) that is absent from \(A\). Begin with \(U=\{1,2,3,4,5,6,7\}\) and remove 2, 5, and 7, the elements of \(A\). The remaining elements are 1, 3, 4, and 6. Hence \(A'=U-A=\{1,3,4,6\}\).
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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