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.