https://file.aiquickdraw.com/mathbot/file/1729313255908e7l6rj1z.jpg

The inequality you need to graph is:

\[
y \geq -3
\]

This inequality represents all points on the coordinate plane where the value of \( y \) is greater than or equal to \(-3\).

### Steps to graph this:
1. **Draw the boundary line**: The boundary for this inequality is the horizontal line \( y = -3 \). Since the inequality includes \( \geq \) (greater than or equal to), the line will be **solid** to indicate that points on the line are included in the solution.
   
2. **Shade the solution region**: The inequality specifies \( y \geq -3 \), meaning the solution is all the points where \( y \) is greater than or equal to \(-3\). Thus, you'll shade the area **above** the line, including the line itself.

### Graph description:
- The line is horizontal and runs parallel to the x-axis at \( y = -3 \).
- The shaded region will be above this line, including the line itself.

Would you like me to generate a visualization of this graph? 

### Related questions:
1. How would the graph change if the inequality was \( y > -3 \)?
2. What happens if the inequality is \( y \leq -3 \)?
3. How do you determine whether to use a solid or dashed line in an inequality graph?
4. How can you test if a point satisfies the inequality \( y \geq -3 \)?
5. What would be the solution if the inequality was \( x \geq -3 \)?

### Tip:
Always pay attention to the direction of the inequality symbol to know whether to shade above or below the line.

Graph the inequality in the coordinate plane. y ≥ -3

Learn how to graph the inequality y ≥ -3 on the coordinate plane. This problem covers key concepts in inequalities and geometry, and demonstrates how to draw the boundary line and shade the solution region. Suitable for Grades 7-10.

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