1. **State the problem:** We need to describe the members of the set $F \cup S$ where: - $F$ is the set of all female employees. - $S$ is the set of staff personnel who are not teaching. 2. **Recall the union of sets:** The union $A \cup B$ of two sets $A$ and $B$ contains all elements that are in $A$, or in $B$, or in both. 3. **Apply the union to $F$ and $S$:** $$F \cup S = \{x \mid x \in F \text{ or } x \in S\}$$ 4. **Interpretation:** This means the set $F \cup S$ includes: - All female employees (regardless of their role). - All staff personnel who are not teaching (regardless of gender). 5. **Summary:** The set $F \cup S$ consists of every female employee plus every non-teaching staff member (male or female).