To solve the inequality \( 36 > -4a \):

1. Start by isolating \( a \). Divide both sides of the inequality by \(-4\). However, remember that when dividing or multiplying both sides of an inequality by a negative number, the inequality sign reverses.

\[
\frac{36}{-4} < a
\]

\[
-9 < a
\]

2. So, the solution is:

\[
a > -9
\]

### Final answer:
\[
a > -9
\]

Would you like more details on solving inequalities, or do you have any questions? Here are 5 related questions you might explore:

1. How do you solve an inequality involving addition or subtraction?
2. What happens if you multiply both sides of an inequality by zero?
3. How can you solve a compound inequality?
4. What is the graphical representation of inequalities on a number line?
5. Can inequalities have infinite solutions?

**Tip:** Always remember to flip the inequality sign when multiplying or dividing by a negative number!

Learn how to solve the inequality 36 > -4a with a detailed step-by-step explanation. This problem focuses on key algebraic concepts, including solving linear inequalities and the rule for reversing inequality signs when dividing by a negative number. Suitable for students in Grades 6-8.

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