Answer
see graph
Work Step by Step
Changing the given inequality, $
2x+4y\ge8
,$ to equality and then isolating $y$ result to
\begin{array}{l}\require{cancel}
4y=-2x+8
\\\\
y=-\dfrac{2}{4}x+\dfrac{8}{4}
\\\\
y=-\dfrac{1}{2}x+2
.\end{array}
Use the table of values below to graph this line.
Since the inequality used is "$
\ge
$", use solid lines.
Using the test point $(
0,0
)$, then
\begin{array}{l}\require{cancel}
2(0)+4(0)\ge8
\\\\
0+0\ge8
\\\\
0\ge8
\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.