Problem

Let $U=\{p, q, r, s, t, u, v\}$ and $A=\{q, r, s, v\}$. Use the roster method to write the set $A^{\prime}$.
\[
A^{\prime}=
\]
(Use a comma to separate answers as needed.)

Answer

Expert–verified
Hide Steps
Answer

Final Answer: \(A^{\prime}=\boxed{\{p, t, u\}}\)

Steps

Step 1 :Let $U=\{p, q, r, s, t, u, v\}$ and $A=\{q, r, s, v\}$. We are asked to find the set $A^{\prime}$ using the roster method.

Step 2 :The set $A^{\prime}$ is the complement of set $A$ with respect to the universal set $U$. This means that $A^{\prime}$ contains all the elements in $U$ that are not in $A$.

Step 3 :To find $A^{\prime}$, we need to subtract the elements of $A$ from $U$.

Step 4 :So, $A^{\prime}$ = $U$ - $A$ = \{p, t, u\}.

Step 5 :Final Answer: \(A^{\prime}=\boxed{\{p, t, u\}}\)

link_gpt