Answer
See below:
Work Step by Step
Step I:In the given above expression, replace inequality with equality,
\[\begin{align}
& 3x-2y=6 \\
& \frac{x}{2}+\frac{y}{\left( -3 \right)}=1
\end{align}\]
From the above equation:
\[\begin{align}
& x-\text{intercept}=\left( \frac{6}{3} \right) \\
& =2
\end{align}\]
\[\begin{align}
& y-\text{intercept}=\left( \frac{6}{-2} \right) \\
& =-3
\end{align}\]
Step II: Put\[x=0,\text{ and }y=0\], in the inequality equation.
\[0<6\]
It is true.
Therefore, the region will be on the side of the origin.
