Subjects set theory

Venn Diagram 597559

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1. The problem asks to find the set representing $A' \cap B'$, which means elements outside both sets $A$ and $B$. 2. From the Venn diagram description: - Elements in $A$ only: $\{5, 1, 3\}$ - Elements in $B$ only: $\{8, 10, 6\}$ - Elements in $A \cap B$: $\{7, 9\}$ - Elements outside both $A$ and $B$ but inside $U$: $\{2, 4\}$ 3. By definition, $A' \cap B'$ is the set of elements not in $A$ and not in $B$, which matches the elements outside both circles. 4. Therefore, $A' \cap B' = \{2, 4\}$. 5. The correct answer is option A) $\{2, 4\}$. Final answer: $\boxed{\{2, 4\}}$