https://file.aiquickdraw.com/mathbot/file/17283929289722ua0m1qh.jpg

The inequality in the image is \( y \geq -1 \).

To graph this inequality on the coordinate plane:

1. **Step 1: Draw the boundary line**.
   The boundary line is \( y = -1 \), which is a **horizontal line** that passes through all points where the \( y \)-coordinate is \(-1\). Since the inequality is \( \geq \) (greater than or equal to), the line should be **solid**, indicating that points on the line are included in the solution.

2. **Step 2: Shade the region**.
   The inequality \( y \geq -1 \) means that we are looking for all points where the \( y \)-coordinate is **greater than or equal to** \(-1\). This corresponds to shading the region **above** the line \( y = -1 \) (including the line itself).

In summary:
- Draw a solid horizontal line through \( y = -1 \).
- Shade the entire region above this line.

Would you like to go over any details or have any questions about this?

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Here are 5 related questions to consider:
1. How would the graph change if the inequality was \( y > -1 \) instead of \( y \geq -1 \)?
2. What is the difference between a solid line and a dashed line when graphing inequalities?
3. How would you graph a vertical inequality such as \( x \geq 2 \)?
4. Can you describe how the shading region changes with \( y \leq -1 \)?
5. How would the graph change if the inequality was \( y = -1 \)?

**Tip:** Always check whether the inequality is strict (\(<\) or \(>\)) or includes equality (\(\leq\) or \(\geq\)) to know if you need a dashed or solid boundary line.

Learn how to graph the inequality y ≥ -1 on the coordinate plane with step-by-step instructions. This guide covers graphing horizontal boundary lines and shading regions for inequalities. Ideal for Grades 7-9 students studying algebra.

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