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The inequality given in Question 24 is:

\[
\frac{x}{9} - 1 < -3
\]

We need to solve for \(x\).

### Step-by-Step Solution:

1. Start by adding 1 to both sides of the inequality to isolate the term involving \(x\):
   \[
   \frac{x}{9} - 1 + 1 < -3 + 1
   \]
   Simplifying this:
   \[
   \frac{x}{9} < -2
   \]

2. Now, multiply both sides by 9 to eliminate the denominator:
   \[
   x < -2 \times 9
   \]
   Simplifying this:
   \[
   x < -18
   \]

Thus, the solution to the inequality is \(x < -18\). The correct answer to the multiple-choice question is:
\[
\boxed{x < -18}
\]

Would you like any further details on this? 

Here are 5 related questions to expand your understanding:
1. How do you solve inequalities with fractions?
2. What happens when multiplying or dividing both sides of an inequality by a negative number?
3. Can you explain how to solve absolute value inequalities?
4. What is the difference between solving equations and inequalities?
5. How do you graph solutions to inequalities on a number line?

**Tip:** When solving inequalities, always pay attention to whether you're multiplying or dividing by a negative number, as it reverses the inequality sign.

What is the solution of the inequality \( \frac{x}{9} - 1 < -3 \)?

Learn how to solve the inequality \( \frac{x}{9} - 1 < -3 \) with a step-by-step breakdown. This problem involves algebraic concepts such as inequalities, fractions, and basic algebraic manipulation. Ideal for students in Grades 7-9.

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