If \(U=\{a,e,i,o,u\}\) and \(V'=\{e,o\}\), what is \(V\)?
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Answer and explanation
Correct answer: \(\{a,i,u\}\)
The complement \(V'\) consists of the elements of the universal set \(U\) that do not belong to \(V\). Here, \(U=\{a,e,i,o,u\}\) and the excluded elements are \(e\) and \(o\). Removing them from \(U\) leaves \(\{a,i,u\}\). Therefore, \(V=U\setminus V'=\{a,i,u\}\), and option A is the correct answer.
Frequently asked questions
What is the correct answer to this question?
\(\{a,i,u\}\)
Why is this the correct answer?
The complement \(V'\) consists of the elements of the universal set \(U\) that do not belong to \(V\). Here, \(U=\{a,e,i,o,u\}\) and the excluded elements are \(e\) and \(o\). Removing them from \(U\) leaves \(\{a,i,u\}\). Therefore, \(V=U\setminus V'=\{a,i,u\}\), and option A is the correct answer.
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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