Subjects set theory

Set Membership 1De316

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1. **Problem Statement:** We are given sets M, F, T, S, and A from a previous problem (problem 4). We need to classify the statement $x \in (F \cup T)$ as true or false, where $x$ is a female teacher at the college. 2. **Understanding the Sets:** - $F$ is the set of females. - $T$ is the set of teachers. 3. **Statement Explanation:** The statement $x \in (F \cup T)$ means that $x$ belongs to the union of sets $F$ and $T$. The union $F \cup T$ contains all elements that are in $F$, or in $T$, or in both. 4. **Given:** $x$ is a female teacher. - Since $x$ is female, $x \in F$. - Since $x$ is a teacher, $x \in T$. 5. **Conclusion:** Since $x$ is in both $F$ and $T$, it must be in their union $F \cup T$. **Final answer:** The statement $x \in (F \cup T)$ is **true**.