The system of inequalities is given by:
[tex]\begin{gathered} y\leqslant3x-8 \\ y\gt-2x+9 \end{gathered}[/tex]
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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