To solve $4 < x - 1$ and represent the solution on the number line, follow these steps:

Step 1: Isolate $x$

Add $1$ to both sides of the inequality to isolate $x$: $4 + 1 < x - 1 + 1$ $5 < x$ or equivalently: $x > 5$

Step 2: Inequality Notation

The solution is: $x > 5$

Step 3: Graphing on the Number Line

• Start at $x = 5$ and draw an open circle at $5$ (because $x$ does not include $5$).
• Shade the line to the right of $5$, indicating all values greater than $5$.

Would you like further details or help with a similar problem?

Related Questions:

1. What would change if the inequality were $4 \leq x - 1$?
2. How would you graph $x < 3$ on a number line?
3. Can you explain the difference between open and closed circles on a number line?
4. What happens if the inequality symbol changes to $\geq$?
5. How do you handle inequalities when multiplying or dividing by a negative number?

Tip:

When solving inequalities, always double-check the direction of the inequality after adding or subtracting!