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) $A \cap B^{\prime}$

Solution

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.

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Source: https://solvelyapp.com/problems/20529/

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