Given the inequality:
[tex]19-13p\leq-17p-5[/tex]
You can find the solution as follows:
1. Apply the Subtraction Property of Inequality by subtracting 19 from both sides of the inequality:
[tex]19-13p-(19)\leq-17p-5-(19)[/tex][tex]-13p\leq-17p-24[/tex]
2. Apply the Addition Property of Inequality by adding this term to both sides of the inequality:
[tex]17p[/tex]
Then:
[tex]-13p+(17p)\leq-17p-24+(17p)[/tex][tex]4p\leq-24[/tex]
3. Apply the Division Property of Inequality by dividing both sides of the inequality by 4:
[tex]\frac{4p}{4}\leq\frac{-24}{4}[/tex][tex]p\leq-6[/tex]
Hence, the answer is:
[tex]p\leq-6[/tex]
