Find $A \cup C^{\prime}$ using roster method.
\[
\begin{array}{l}
U=\{a, f, g, n, q, s, v, y\} \\
A=\{a, v, y\} \\
C=\{f, g, n, q, s\}
\end{array}
\]
Find $A \cup C^{\prime}$ using roster method. Be sure to include braces as needed. If necessary, use proper notation for the empty set.
$A \cup C^{\prime}=$
Answer
Final Answer: \(A \cup C^{\prime} = \boxed{\{a, v, y\}}\)
Step 1 ：Given the universal set U = \{a, f, g, n, q, s, v, y\}, set A = \{a, v, y\}, and set C = \{f, g, n, q, s\}.
Step 2 ：The complement of set C, denoted by C', is the set of all elements in the universal set U that are not in C. So, C' = \{a, v, y\}.
Step 3 ：The union of two sets A and B, denoted by A ∪ B, is the set of all elements that are in A, or in B, or in both.
Step 4 ：Thus, the union of set A and the complement of set C, denoted by A ∪ C', is \{a, v, y\}.
Step 5 ：Final Answer: \(A \cup C^{\prime} = \boxed{\{a, v, y\}}\)
