https://file.aiquickdraw.com/mathbot/file/1725728136068duz2coyi.jpg

Graph each inequality on a separate number line

The inequality shown in the image is \( x \geq -2 \).

### Steps to graph this on a number line:
1. **Locate -2** on the number line.
2. Since the inequality is \( \geq \), you will have a **closed circle** at -2, indicating that -2 is included in the solution.
3. Shade the number line to the **right** of -2, representing all numbers greater than or equal to -2.

Would you like more details or further explanation on graphing inequalities? 

Here are 5 questions to expand on this topic:
1. How would the graph change if the inequality were \( x > -2 \)?
2. Can you graph the inequality \( x \leq 3 \) on the same number line?
3. What happens when you combine two inequalities, such as \( -3 \leq x \leq 4 \)?
4. How does the inequality change when you multiply or divide by a negative number?
5. Can you solve and graph a compound inequality, like \( 2x + 3 > 5 \)?

**Tip:** When dealing with \( \geq \) or \( \leq \), always remember to use a closed circle on the number line to indicate inclusion of that boundary point.

Graph each inequality on a separate number line: x ≥ -2

Learn how to graph the inequality x ≥ -2 on a number line with clear steps. This lesson covers key algebraic concepts, including graphing inequalities, closed circles for inclusive boundaries, and shading the correct portion of the number line. Suitable for Grades 6-8.

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