To solve the inequality \(-4 - 9p > 86\), follow these steps:

1. **Add 4** to both sides of the inequality to isolate the term with \(p\):
   \[
   -4 - 9p + 4 > 86 + 4
   \]
   \[
   -9p > 90
   \]

2. **Divide both sides by -9**, and remember that when dividing or multiplying an inequality by a negative number, the inequality sign reverses:
   \[
   p < \frac{90}{-9}
   \]
   \[
   p < -10
   \]

### Final solution:
\[
p < -10
\]

Let me know if you'd like more details or have any questions!

Here are 5 related questions to expand your understanding:
1. How do you solve an inequality that involves fractions?
2. What happens if you multiply or divide by zero in inequalities?
3. Can you explain why dividing by a negative reverses the inequality?
4. How would the inequality change if it was \(-4 - 9p \leq 86\)?
5. How do you represent inequalities on a number line?

**Tip**: Always be cautious when dividing or multiplying an inequality by a negative number—remember to reverse the inequality sign!

Learn how to solve the inequality -4 - 9p > 86 with a step-by-step solution. This algebra problem introduces key concepts like inequality manipulation and reversing the inequality sign when dividing by a negative number. Ideal for students in Grades 7-9.

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