If \(U=\{a,e,i,o,u\}\) and \(A=\{a,i,u\}\), what is \(A'\)?
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Answer and explanation
Correct answer: \{e,o\}
The complement of \(A\), written \(A'\), contains exactly those elements of the universal set \(U\) that are not in \(A\). Starting with \(U=\{a,e,i,o,u\}\), remove \(a\), \(i\), and \(u\), because these belong to \(A\). The elements left are \(e\) and \(o\). Hence \(A'=U-A=\{e,o\}\).
Frequently asked questions
What is the correct answer to this question?
\{e,o\}
Why is this the correct answer?
The complement of \(A\), written \(A'\), contains exactly those elements of the universal set \(U\) that are not in \(A\). Starting with \(U=\{a,e,i,o,u\}\), remove \(a\), \(i\), and \(u\), because these belong to \(A\). The elements left are \(e\) and \(o\). Hence \(A'=U-A=\{e,o\}\).
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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