#### Answer

Refer to the image below for the graph.

#### Work Step by Step

To graph the given inequality, perform the following steps:
(1) Graph the boundary line $5x+2y=10$ using a solid line since it involves $\le$.
(refer to the image below for the graph)
(2) Use the test point $(0, 0)$. Substitute the x and y values of this point into the given inequality to obtain:
\begin{array}{ccc}
\\&5x+2y &\le &10
\\&5(0)+2(0) &\le &10
\\&0 &\le &10
\end{array}
The statement is true.
(3) The resulting statement in step (2) is true.
This means that the solution set is the region that contains the test point $(0, 0)$.
To complete the graph, shade the region that contains $(0, 0)$.
(refer to the attached image in the answer part above for the graph)