1. **State the problem:** We need to analyze the logical statements and use rules of inference to conclude whether the party was shut down. 2. **Given statements:** - Neighbors did not contact law enforcement. - Volume of music was not excessive. - If absence of loud music justifies shutdown, then neighbors would have contacted police. - Neighbors did not contact police. 3. **Translate into logical form:** Let: - $P$: The party was shut down. - $L$: Loud music was present. - $N$: Neighbors contacted police. Given: - $\neg N$ (neighbors did not contact police) - $\neg L$ (no loud music) - $\neg L \to N$ (if no loud music, then neighbors contacted police) 4. **Apply Modus Tollens:** From $\neg L \to N$ and $\neg N$, we infer $L$. 5. **Interpretation:** Since $L$ means loud music was present, but this contradicts the given $\neg L$ (no loud music), the assumption that absence of loud music justifies shutdown is false. 6. **Conclusion:** Because neighbors did not contact police ($\neg N$), and absence of loud music would imply neighbors contacted police, it follows that the party was not shut down ($\neg P$). **Final answer:** The party was not shut down based on the given logical statements and rules of inference.