Answer
see graph
Work Step by Step
Changing the given inequality, $
3y\ge x
,$ to equality and then isolating $y$ result to
\begin{array}{l}\require{cancel}
3y=x
\\\\
y=\dfrac{1}{3}x
.\end{array}
Use the table of values below to graph this line.
Since the inequality used is "$
\ge
$", use a solid line.
Using the test point $(
0,2
)$, then
\begin{array}{l}\require{cancel}
3(2)\ge 0
\\\\
6\ge 0
\text{ (TRUE)}
.\end{array}
Since the solution above ended with a $\text{
TRUE
}$ statement, then the test point is $\text{
part
}$ of the solution set.