1. **Problem:** Find $A \cup B \cup C$ where $A = \{1, 2, 4, 8\}$, $B = \{2, 4, 6, 8\}$, $C = \{1, 2, 3, 4\}$. **Step 1:** Recall that union $\cup$ means combining all unique elements from the sets. **Step 2:** Combine elements: $$A \cup B = \{1, 2, 4, 8\} \cup \{2, 4, 6, 8\} = \{1, 2, 4, 6, 8\}$$ **Step 3:** Now union with $C$: $$\{1, 2, 4, 6, 8\} \cup \{1, 2, 3, 4\} = \{1, 2, 3, 4, 6, 8\}$$ **Answer 1:** $A \cup B \cup C = \{1, 2, 3, 4, 6, 8\}$ 2. **Problem:** Find $\overline{C} \cup \overline{B}$ where $\overline{C}$ and $\overline{B}$ are complements relative to $U = \{1,2,3,4,5,6,7,8\}$. **Step 1:** Find complements: $$\overline{C} = U \setminus C = \{5, 6, 7, 8\}$$ $$\overline{B} = U \setminus B = \{1, 3, 5, 7\}$$ **Step 2:** Union of complements: $$\overline{C} \cup \overline{B} = \{5, 6, 7, 8\} \cup \{1, 3, 5, 7\} = \{1, 3, 5, 6, 7, 8\}$$ **Answer 2:** $\overline{C} \cup \overline{B} = \{1, 3, 5, 6, 7, 8\}$ 3. **Problem:** Find $(C \cap B) \cap A$. **Step 1:** Find intersection $C \cap B$ (elements common to both): $$C \cap B = \{1, 2, 3, 4\} \cap \{2, 4, 6, 8\} = \{2, 4\}$$ **Step 2:** Now intersect with $A$: $$\{2, 4\} \cap \{1, 2, 4, 8\} = \{2, 4\}$$ **Answer 3:** $(C \cap B) \cap A = \{2, 4\}$