The system of inequalities is given by:
![\begin{gathered} y\leqslant3x-8 \\ y\gt-2x+9 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/8p4kdqq1eoanchud6d0dlibbpq8ep0zsqj.png)
The graph of y ≤ 3x - 8 is given by the red line and region:
The graph of y > -2x + 9 is given by the blue region:
Therefore, the graph of the solution is given by the purple region of intersection of the red region and blue region:
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