Problem

\[
\text { Let } \begin{aligned}
U & =\{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20\}, \\
C & =\{1,3,5,7,9,11,13,15,17,19\} .
\end{aligned}
\]
Use the roster method to write the set $C^{\prime}$.
\[
c^{\prime}=
\]
(Use a comma to separate answers as needed. Use ascending order.)

Answer

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Answer

Final Answer: \(\boxed{\{2, 4, 6, 8, 10, 12, 14, 16, 18, 20\}}\)

Steps

Step 1 :Let \(U = \{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20\}\) and \(C = \{1,3,5,7,9,11,13,15,17,19\}\).

Step 2 :The set \(C^\prime\) is the complement of set \(C\) in \(U\). This means that \(C^\prime\) contains all the elements in \(U\) that are not in \(C\).

Step 3 :To find \(C^\prime\), we can subtract the elements of \(C\) from \(U\).

Step 4 :So, \(C^\prime = \{2, 4, 6, 8, 10, 12, 14, 16, 18, 20\}\).

Step 5 :Final Answer: \(\boxed{\{2, 4, 6, 8, 10, 12, 14, 16, 18, 20\}}\)

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