*To solve inequalities is similar to solving equations: isolate the desired variable to one side.
So firstly, distribute -8 to (p + 1):
![5p-8p-8>16](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ttavps232v22r1ohv9btmppxvdk2fbxlay.png)
Next, combine like terms:
![-3p-8>16](https://img.qammunity.org/2019/formulas/mathematics/middle-school/x4pn7ptgpynp2lp1iyc3zrrg6l5e7metsu.png)
Next, add 8 to both sides:
![-3p>24](https://img.qammunity.org/2019/formulas/mathematics/middle-school/s0r9t7ukbetn9oeiz3ra5w9cb2cumnaagi.png)
Lastly, divide both sides by -3. Now since you are dividing by a negative, you will be flipping the inequality symbol as well. Your final answer will be
![p<-8](https://img.qammunity.org/2019/formulas/mathematics/middle-school/bbuuumwpelf167bh732vnbbi9ty8t40j2v.png)