If the universal set is \(U=\{1,2,3,4,5,6\}\) and \(A=\{2,4,6\}\), what is \(A^c\)?
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Answer and explanation
Correct answer: \(\{1,3,5\}\)
The complement \(A^c\) consists of every element of the universal set \(U\) that is not an element of \(A\). Removing 2, 4, and 6 from \(U=\{1,2,3,4,5,6\}\) leaves \(\{1,3,5\}\). Therefore, option A is correct. The complement always depends on the stated universal set.
Frequently asked questions
What is the correct answer to this question?
\(\{1,3,5\}\)
Why is this the correct answer?
The complement \(A^c\) consists of every element of the universal set \(U\) that is not an element of \(A\). Removing 2, 4, and 6 from \(U=\{1,2,3,4,5,6\}\) leaves \(\{1,3,5\}\). Therefore, option A is correct. The complement always depends on the stated universal set.
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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