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Let's analyze and solve the problem.

### Given Data:
- **Universal Set** \( U = \{a, b, c, d, e, f, g, h, i, j\} \)
- **Set \( V \) = \{a, e, i, f, h\}**
- **Set \( W \) = \{a, c, e, g, i\}**

We are asked to list the members of \( \overline{V} \cup \overline{W} \), where:
- \( \overline{V} \) is the complement of \( V \), meaning all elements in \( U \) that are **not** in \( V \).
- \( \overline{W} \) is the complement of \( W \), meaning all elements in \( U \) that are **not** in \( W \).
- The union \( \overline{V} \cup \overline{W} \) represents all elements that are in either \( \overline{V} \) or \( \overline{W} \).

### Step 1: Find \( \overline{V} \) and \( \overline{W} \)

1. **Complement of \( V \):**
   - Elements in \( U \) but **not** in \( V \):
     \[
     \overline{V} = \{b, c, d, g, j\}
     \]

2. **Complement of \( W \):**
   - Elements in \( U \) but **not** in \( W \):
     \[
     \overline{W} = \{b, d, f, h, j\}
     \]

### Step 2: Find \( \overline{V} \cup \overline{W} \)

To find the union of \( \overline{V} \) and \( \overline{W} \), combine all unique elements from both sets:

\[
\overline{V} \cup \overline{W} = \{b, c, d, g, j, f, h\}
\]

### Solution
The members of \( \overline{V} \cup \overline{W} \) are:
\[
\{b, c, d, f, g, h, j\}
\]

Would you like more details on any step, or have any questions?

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### Related Questions:
1. How would the answer change if \( U \) had additional elements?
2. What is the result of \( V \cap W \), and how does it relate to the complements?
3. How would \( \overline{V} \cap \overline{W} \) differ from \( \overline{V} \cup \overline{W} \)?
4. If \( V \) or \( W \) was empty, what would \( \overline{V} \cup \overline{W} \) be?
5. How can we represent \( \overline{V} \cup \overline{W} \) using a Venn diagram?

### Tip:
Always remember that the complement of a set contains all elements not in the set, but within the universal set \( U \).

Let the Universal Set U = {a, b, c, d, e, f, g, h, i, j}, and consider the sets V = {a, e, i, f, h}, W = {a, c, e, g, i}. List the members of: V' ∪ W'.

This problem explores finding the union of complements V' ∪ W' for given sets V and W within a universal set U = {a, b, c, d, e, f, g, h, i, j}. It covers core set theory concepts like set complements and unions, suitable for high school students.

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