Given the inequality:
![19-13p\leq-17p-5](https://img.qammunity.org/2023/formulas/mathematics/college/j4tdc03beh6conhudjbt9lxje2oik2glqs.png)
You can find the solution as follows:
1. Apply the Subtraction Property of Inequality by subtracting 19 from both sides of the inequality:
![19-13p-(19)\leq-17p-5-(19)](https://img.qammunity.org/2023/formulas/mathematics/college/vizedgzetpu16u60ygn1owed822tw0ocnj.png)
![-13p\leq-17p-24](https://img.qammunity.org/2023/formulas/mathematics/college/i5pi4m5jzi266cky0mj0uq6u4vcpeafkao.png)
2. Apply the Addition Property of Inequality by adding this term to both sides of the inequality:
![17p](https://img.qammunity.org/2023/formulas/mathematics/college/8s24wigc2ld5uhqghvrslh6x8dddxbvb9x.png)
Then:
![-13p+(17p)\leq-17p-24+(17p)](https://img.qammunity.org/2023/formulas/mathematics/college/3lvhb8nw00xt2kjd8wdke8hqkk473e32jn.png)
![4p\leq-24](https://img.qammunity.org/2023/formulas/mathematics/college/jgcdvoqn8hayvq407yqgr3b0a6v74kik0h.png)
3. Apply the Division Property of Inequality by dividing both sides of the inequality by 4:
![(4p)/(4)\leq(-24)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/zjee6iehuqnfcsjiow8kix7xg1vd6f9wh1.png)
![p\leq-6](https://img.qammunity.org/2023/formulas/mathematics/college/dgb9mm9z88t7rdkdkbdert88xpk1e3ojl6.png)
Hence, the answer is:
![p\leq-6](https://img.qammunity.org/2023/formulas/mathematics/college/dgb9mm9z88t7rdkdkbdert88xpk1e3ojl6.png)