Answer
see graph
Work Step by Step
Use the table of values below to graph the line $
3x+y=6
.$
Since the inequality used is "$
\gt
$", use broken lines.
Using the test point $(
0,0
)$, then
\begin{array}{l}\require{cancel}
3(0)+0\gt6
\\\\
0+0\gt6
\\\\
0\gt6
\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.