To solve the inequality \( x - 1 < 4 \), follow these steps:

1. Add 1 to both sides of the inequality to isolate \( x \) on the left-hand side:
   \[
   x - 1 + 1 < 4 + 1
   \]
   Simplifying this gives:
   \[
   x < 5
   \]

The solution to the inequality is \( x < 5 \). This means that \( x \) can be any number less than 5.

Would you like further details or have any questions about the steps?

Here are some related questions you might find interesting:
1. What happens if we reverse the inequality sign, for example \( x - 1 > 4 \)?
2. How do you solve a compound inequality like \( 3 < x - 1 < 5 \)?
3. What would change if it were \( x - 1 \leq 4 \) instead of \( x - 1 < 4 \)?
4. How do you graph the solution \( x < 5 \) on a number line?
5. What if the inequality included an absolute value, like \( |x - 1| < 4 \)?

**Tip**: When solving inequalities, always pay attention to how the inequality sign behaves, especially when multiplying or dividing by negative numbers!

Learn how to solve the linear inequality x - 1 < 4 in a simple step-by-step manner. This guide covers algebraic concepts such as inequalities and the addition property of inequality, suitable for students in Grades 6-8.

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