let the system of inequalities are as,
\(\begin{array}{l}y < - 3x + 4\\3y + x > - 6\end{array}\)
Simplifying inequalities as,
\(\begin{array}{c}3y > - 6 - x\\y > \frac{{ - 6 - x}}{3}\end{array}\)
By using the maple software to plot the graph of two inequalities as,
\(\begin{array}{l}y < - 3x + 4\\3y + x > - 6\end{array}\)
Simplifying inequalities as,
\(\begin{array}{c}3y > - 6 - x\\y > \frac{{ - 6 - x}}{3}\end{array}\)
By using the maple software to plot the graph of two inequalities as,
Use the following write the maple code in maple: