To graph the inequality $x > 4$, follow these steps:

1. Draw a Number Line: Start by sketching a simple horizontal line and marking numbers along it. Include at least 4 as one of the points.

2. Mark the Point $x = 4$: Place an open circle at $x = 4$. The open circle indicates that 4 is not included in the solution (since the inequality is $>$, not $\geq$).

3. Shade the Region: Shade the line to the right of 4, extending towards positive infinity. This shading represents all numbers greater than 4.

Here's how it looks in text form:

• Open circle at 4 (indicating 4 is not part of the solution).
• Arrow to the right from 4, showing that $x$ can be any value greater than 4.

Would you like a more detailed example of graphing on the number line? Let me know if you have further questions.

Related Questions:

1. How would you graph the inequality $x \geq 4$?
2. What changes when the inequality is $x < 4$ instead of $x > 4$?
3. How do you represent $x \leq 4$ on a number line?
4. What does an open circle on a graph mean in inequalities?
5. How would you graph $-3 < x \leq 5$?

Tip: When graphing inequalities, remember that an open circle excludes a value, while a filled circle includes it.