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To graph the inequality \( x \geq -4 \), follow these steps:

1. **Draw the boundary line**: 
   Since the inequality is \( x \geq -4 \), the boundary line is vertical at \( x = -4 \).
   
   - **Solid line**: Because the inequality includes \( \geq \) (greater than or equal to), the boundary line should be solid.
   
2. **Shade the appropriate region**: 
   - The inequality \( x \geq -4 \) means that we are interested in the region where \( x \) is greater than or equal to -4.
   - Shade the region to the **right** of the line, which represents all points where \( x \) is greater than or equal to -4.

Now let's break it down on the graph:
- Plot a vertical solid line at \( x = -4 \).
- Shade the region to the right of this line.

Would you like more details on how to graph inequalities or clarification on any step?

Here are 5 related questions to consider:
1. How do we graph inequalities with \( y \) instead of \( x \)?
2. What does a dotted line represent in inequality graphs?
3. How do you graph the inequality \( x < -4 \)?
4. How would this graph change if the inequality was \( x \leq -4 \)?
5. How can we test points to verify which region to shade?

**Tip**: Always use a solid line when the inequality includes \( \leq \) or \( \geq \). Use a dashed line for strict inequalities like \( < \) or \( > \).

Learn how to graph the inequality x ≥ -4 on a coordinate plane. This lesson covers how to plot a vertical boundary line at x = -4 and shade the correct region to represent all values greater than or equal to -4. Suitable for students in Grades 7-9.

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