Graph the solution to the following system of inequalities.

y > -2x + 3
y>_ 2x - 9

Here is the graph of the system of inequalities:

- The **dashed red line** represents \( y = -2x + 3 \), and the area shaded **above** it is the solution to \( y > -2x + 3 \).
- The **solid blue line** represents \( y = 2x - 9 \), and the area shaded **above** it is the solution to \( y \geq 2x - 9 \).

The overlapping shaded region is the solution to the system.

Would you like further details or have any questions?

Here are five related questions you might explore:
1. What is the intersection point of the two boundary lines?
2. How do strict and inclusive inequalities affect the graph?
3. How would the solution change if one inequality was \( y < -2x + 3 \)?
4. Can you graph a system of inequalities with three or more equations?
5. What happens when you graph non-linear inequalities?

**Tip:** Always check if the inequality is strict or inclusive when graphing. Strict inequalities use dashed lines, while inclusive ones use solid lines.

Graph the solution to the following system of inequalities: y > -2x + 3, y ≥ 2x - 9

Learn how to graph the solution to a system of inequalities, including y > -2x + 3 and y ≥ 2x - 9. This problem covers graphing linear inequalities, strict vs inclusive inequalities, and identifying the solution region. Ideal for students in Grades 9-10.

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