To graph the inequality \( p \neq 2 \) on a simple number line, follow these steps:

1. **Draw a horizontal line**: This will represent the number line.
2. **Mark the point \( p = 2 \)** on the number line.
3. **Use an open circle** at \( p = 2 \) to show that \( p \) does not equal 2.
4. **Shade the entire number line** except at the open circle to indicate that \( p \) can be any number except 2.

Here's what the graph looks like conceptually:

- The number line is marked with \( 2 \).
- An open circle is placed at \( 2 \).
- The rest of the number line is shaded, showing that all other points are included except \( 2 \).

This visual clearly shows that \( p \) can be any value except 2.

Would you like more details or have any questions?

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Here are five related questions:

1. How would you graph \( p > 2 \) on a number line?
2. How would the graph change if \( p \geq 2 \)?
3. What does the graph of \( p = 2 \) look like?
4. How do you represent \( p \neq -3 \) on a number line?
5. What is the difference between \( p \neq 2 \) and \( p = 2 \) on a number line?

**Tip:** When graphing inequalities on a number line, remember that an open circle means the value is not included, while a closed circle means it is included.

Learn how to graph the inequality p ≠ 2 on a number line with a step-by-step guide. Understand the concept of inequalities and number line graphing. Suitable for students in Grades 6-8.

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