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The inequality to solve is:

\[
-\frac{1}{8}(u + 9) > 2
\]

### Steps to solve:

1. **Eliminate the fraction**:
   Multiply both sides of the inequality by \(-8\) to get rid of the fraction. Remember to reverse the inequality sign because you're multiplying by a negative number.

   \[
   u + 9 < -16
   \]

2. **Isolate \( u \)**:
   Subtract 9 from both sides to isolate \( u \).

   \[
   u < -16 - 9
   \]

   \[
   u < -25
   \]

### Solution:
\[
u < -25
\]

This is the solution to the inequality.

Would you like more details or have any questions about this process? Here are some related questions for further practice:

1. What happens if we multiply or divide an inequality by a negative number?
2. How do we handle inequalities involving absolute values?
3. How would the solution change if the inequality was \(\geq\) instead of \(>\)?
4. What is the difference between solving an inequality and solving an equation?
5. How can we graph the solution \(u < -25\) on a number line?

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

Learn how to solve the inequality -(1/8)(u + 9) > 2 using algebraic techniques. This problem covers core concepts like inequalities, linear equations, and properties of multiplying both sides by negative numbers. Suitable for students in Grades 9-10.

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