https://file.aiquickdraw.com/mathbot/file/172659655371423hxiw4f.jpg

In the image provided, the graph shows a shaded region below the horizontal line \( y = -3 \), and the line is dashed, indicating a "less than" inequality without equality.

Thus, the inequality that matches the graph is:

\[
y < -3
\]

This corresponds to option **a**.

Would you like more details on how inequalities are represented on graphs or any other clarifications?

Here are 5 related questions for further exploration:
1. How do we graph inequalities involving both \( x \) and \( y \)?
2. What does a solid line represent in inequality graphs?
3. How do we shade the region for \( y \geq -3 \) instead of \( y < -3 \)?
4. How would the graph change if the inequality was \( y > -3 \)?
5. What are the steps to graph inequalities with both \( x \) and \( y \) on the coordinate plane?

**Tip**: When graphing inequalities, remember that a **dashed line** indicates a strict inequality (like \( < \) or \( > \)), while a **solid line** is used for \( \leq \) or \( \geq \).

This problem involves matching a graph to the inequality y < -3. It explores graphing linear inequalities with a dashed line and shading below the line. Suitable for students in Grades 8-10 learning about inequalities.

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