Problem

\[
\text { Let } \begin{aligned}
U & =\{q, r, s, t, u, v, w, x, y, z\} \\
A & =\{q, s, u, w, y\} \\
B & =\{q, s, y, z\}
\end{aligned}
\]
$C=\{v, w, x, y, z\}$. List the elements in the set.
8) $A \cap B^{\prime}$

Answer

Expert–verified
Hide Steps
Answer

\(\boxed{\{u, w\}}\) is the final answer.

Steps

Step 1 :Define the universal set U = \{q, r, s, t, u, v, w, x, y, z\}, set A = \{q, s, u, w, y\}, and set B = \{q, s, y, z\}.

Step 2 :Find the complement of set B, denoted as B', which is the set of all elements in the universal set U that are not in B. B' = \{r, t, u, v, w, x\}.

Step 3 :Find the intersection of set A and B', denoted as A ∩ B'. This is the set of all elements that are in both A and B'. A ∩ B' = \{u, w\}.

Step 4 :\(\boxed{\{u, w\}}\) is the final answer.

link_gpt