To graph the inequality \(x > 2\) on a number line, you follow these steps:

1. **Draw a Number Line**: Start by drawing a horizontal line and marking a few key points, such as \(0\), \(1\), \(2\), \(3\), etc.

2. **Identify the Boundary Point**: The boundary for the inequality \(x > 2\) is at \(x = 2\). Place a point at \(2\) on the number line.

3. **Determine the Type of Circle at \(x = 2\)**: Since the inequality is strictly greater than (not greater than or equal to), use an **open circle** at \(x = 2\) to show that \(2\) itself is not included in the solution.

4. **Shade the Correct Region**: Shade the line to the **right** of \(x = 2\) to indicate that all numbers greater than \(2\) are included in the solution set.

### Graph

```
<--------------------o==================>
-3 -2 -1  0  1  2  3  4  5 ...
```

In this graph:
- The "o" at \(x = 2\) represents an open circle, meaning \(x = 2\) is not part of the solution.
- The shaded line ("===") to the right of \(2\) indicates that all numbers greater than \(2\) satisfy the inequality.

Would you like to ask any questions or need further details on this topic?

### Related Questions:

1. How would you graph \(x \geq 2\) on a number line?
2. What does \(x < -3\) look like on a number line?
3. How do you represent \(2 \leq x < 5\) on a number line?
4. What changes if the inequality is \(x \neq 2\)?
5. How would you solve a compound inequality like \(1 < x \leq 4\)?

**Tip:** Remember that an open circle is used for inequalities that do not include the boundary point (e.g., \(x > 2\)), and a closed circle is used when the boundary is included (e.g., \(x \geq 2\)).

Learn how to graph the inequality x > 2 on a number line with a clear and detailed explanation. This guide covers key algebraic concepts related to inequalities and is suitable for students in Grades 6-8.

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