Answer:
The graph of inequality is shown below.
Step-by-step explanation:
The given inequality is
[tex]3y-x\geq 9[/tex]
Related equation is
[tex]3y-x=9[/tex]
At x=0,
[tex]3y-0=9\Rightarrow y=3[/tex]
At y=0,
[tex]3(0)-x=9\Rightarrow x=-9[/tex]
Plot (0,3) and (-9,0) on coordinate plane and connect them by a straight line.
Check the inequality for (0,0).
[tex]3(0)-(0)\geq 9[/tex]
[tex]0\geq 9[/tex]
This statement is false. So, (0,0) is not included in the shaded region.
The graph of inequality is shown below.
