1. **State the problem:** We need to determine if the inequality $0.25 < \frac{1}{36} < 0.365$ is true. 2. **Convert decimals to fractions or decimals for comparison:** - $0.25$ is equivalent to $\frac{1}{4}$. - $0.365$ is a decimal number. - $\frac{1}{36}$ is approximately $0.0277$ (since $\frac{1}{36} = 0.0277\ldots$). 3. **Compare $0.25$ and $\frac{1}{36}$:** - $0.25 = 0.25$ - $\frac{1}{36} \approx 0.0277$ - Since $0.25 > 0.0277$, the first part $0.25 < \frac{1}{36}$ is false. 4. **Compare $\frac{1}{36}$ and $0.365$:** - $0.0277 < 0.365$ is true. 5. **Conclusion:** The compound inequality $0.25 < \frac{1}{36} < 0.365$ is false because the first inequality $0.25 < \frac{1}{36}$ is false. **Final answer:** The inequality $0.25 < \frac{1}{36} < 0.365$ is false.