\[
\mathbf{A}=\{\mathbf{q}, \mathbf{s}, \mathbf{u}, \mathbf{w}, \mathbf{y}\}
\]
\[
B=\{q, s, y, z\}
\]
$C=\{v, w, x, y, z\}$. List the elements in the set.
8) $A \cap B^{\prime}$
A) $\{q, s, t, u, v, w, x, y\}$
C) $\{t, v, x\}$
9) $(A \cap C)^{\prime}$
A) $\{q, s, y, z\}$
C) $\{w, y\}$

Step 1 ：Define the sets A, B, and C as A = {'u', 'w', 'y', 's', 'q'}, B = {'y', 's', 'q', 'z'}, and C = {'w', 'y', 'v', 'z', 'x'} respectively.

Step 2 ：Find the complement of set B, which includes all elements not in set B. The complement of B is {'u', 'x', 'v', 'w'}.

Step 3 ：Find the intersection of set A and the complement of set B. The intersection includes all elements that are in set A and not in set B. The intersection of A and B' is {'u', 'w'}.

Step 4 ：Find the intersection of set A and set C. The intersection includes all elements that are common to both sets. The intersection of A and C is {'w', 'y'}.

Step 5 ：Find the complement of the intersection of set A and set C. The complement includes all elements not in the intersection. The complement of the intersection of A and C is {'u', 'v', 's', 'z', 'x', 'q'}.

Step 6 ：The elements in the set \(A \cap B'\) are \(\boxed{\{u, w\}}\) and the elements in the set \((A \cap C)'\) are \(\boxed{\{u, v, s, z, x, q\}}\).