Answer:
Please find the attachment.
Step-by-step explanation:
We have been given an inequality [tex]y<\frac{1}{3}x-2[/tex]. We are asked to graph our given inequality.
The boundary line of our given inequality would be a dotted line and points on the boundary line are not solution of the inequality as we have [tex]<[/tex] sign.
Boundary line: [tex]y=\frac{1}{3}x-2[/tex].
We will test point (0,0) in our given inequality to shade in the correct region.
[tex]0<\frac{1}{3}(0)-2[/tex]
[tex]0<0-2[/tex]
[tex]0<-2[/tex]
Since point (0,0) is not a solution for our given inequality, so we will shade in the area that excludes point (0,0).
Upon graphing our given inequality, we will get our required graph as show in the attachment.
