1. **State the problem:** We need to determine if the statement $x \in (F \cap T) \cup A$ is true or false given that $x$ is a female teacher at the college. 2. **Recall definitions:** - $F$ is the set of females. - $T$ is the set of teachers. - $A$ is another set defined in problem 4 (not specified here, so we consider it as given). 3. **Analyze the statement:** - $F \cap T$ means the set of all individuals who are both female and teachers. - $(F \cap T) \cup A$ means all individuals who are either female teachers or belong to set $A$. 4. **Given:** $x$ is a female teacher, so $x \in F$ and $x \in T$. 5. **Therefore:** $x \in F \cap T$. 6. **Since $x \in F \cap T$, then $x \in (F \cap T) \cup A$ by definition of union.** 7. **Conclusion:** The statement $x \in (F \cap T) \cup A$ is **true** for $x$ being a female teacher. **Final answer:** True