The given inequality is:

\[
\frac{X}{3} - 1 < 4
\]

To solve for \( X \), follow these steps:

1. **Add 1 to both sides** to get rid of the constant on the left side:
   \[
   \frac{X}{3} < 4 + 1
   \]
   \[
   \frac{X}{3} < 5
   \]

2. **Multiply both sides by 3** to solve for \( X \):
   \[
   X < 5 \times 3
   \]
   \[
   X < 15
   \]

Thus, the solution is:

\[
X < 15
\]

Let me know if you'd like further details!

Here are 5 related questions:
1. How would the solution change if the inequality was \( X/3 - 1 \leq 4 \)?
2. What happens if you reverse the inequality (e.g., \( X/3 - 1 > 4 \))?
3. How can you graph this inequality on a number line?
4. Can you solve a similar inequality, \( 2X/5 + 3 > 7 \)?
5. What is the importance of flipping the inequality sign when multiplying by a negative number?

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

Learn how to solve the linear inequality X/3 - 1 < 4 with a detailed step-by-step solution. This problem covers essential algebraic concepts such as inequality manipulation, addition, and multiplication properties. Suitable for students in Grades 6-8.

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