Answer
See below:
Work Step by Step
Substitute the coordinates of origin in the given system of inequalities and check whether the inequalities are true or not as:
\[\begin{align}
& x\le 5 \\
& 0\le 5 \\
\end{align}\]
The above inequality is true. Thus, the region shaded is towards the origin for the inequality\[x\le 5\].
And,
\[\begin{align}
& y>-3 \\
& 0>-3 \\
\end{align}\]
The above inequality is true. Thus, the region shaded is towards the origin for the inequality\[y>-3\].
Thus, the graph of the system of linear inequalities, \[\begin{align}
& x\le 5 \\
& y>-3 \\
\end{align}\]is the common region of both the graphs and is shown below:
