If \(U=\{a,b,c,d,e,f\}\) and \(A=\{a,c,f\}\), what is \(A'\)?
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Answer and explanation
Correct answer: \(\{b,d,e\}\)
The complement \(A'\) contains every element of the universal set \(U\) that is not an element of \(A\). Starting with \(U=\{a,b,c,d,e,f\}\), remove \(a,c,f\), because those elements belong to \(A\). The remaining elements are \(b,d,e\). Hence \(A'=\{b,d,e\}\), making option A correct.
Frequently asked questions
What is the correct answer to this question?
\(\{b,d,e\}\)
Why is this the correct answer?
The complement \(A'\) contains every element of the universal set \(U\) that is not an element of \(A\). Starting with \(U=\{a,b,c,d,e,f\}\), remove \(a,c,f\), because those elements belong to \(A\). The remaining elements are \(b,d,e\). Hence \(A'=\{b,d,e\}\), 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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