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!