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 $x=y$ using a dashed line since it involves $\gt$.
(refer to the image below for the graph)
(2) Use the test point $(1, 0)$. Substitute the x and y values of this point into the given inequality to obtain:
\begin{array}{ccc}
\\&x&\gt &y
\\&1 &\gt &0
\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 $(1, 0)$.
To complete the graph, shade the region that contains $(1, 0)$.
(refer to the attached image in the answer part above for the graph)