Answer
see graph
Work Step by Step
Changing the given inequality, $
2x-y\gt5
,$ to equality and then isolating $y$ result to
\begin{array}{l}\require{cancel}
2x-y=5
\\\\
-y=-2x+5
\\\\
y=2x-5
.\end{array}
Use the table of values below to graph this line.
Since the inequality used is "$
\gt
$", use broken lines.
Using the test point $(
0,0
)$, then
\begin{array}{l}\require{cancel}
2(0)-0\gt5
\\\\
0\gt5
\text{ (FALSE)}
.\end{array}
Since the solution above ended with a $\text{
FALSE
}$ statement, then the test point is $\text{
NOT part
}$ of the solution set.