#### 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 $2x+7y=5$ using a dashed line since it involves $\gt$.
(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}
\\&2x+7y&\gt &5
\\&2(0) + 7(0) &\gt &5
\\&0 &\gt &5
\end{array}
The statement is false.
(3) The resulting statement in step (2) is false.
This means that the solution set is the region that does not contain the test point $(0, 0)$.
To complete the graph, shade the region that does not contain $(0, 0)$.
(refer to the attached image in the answer part above for the graph)