We have the next inequality
[tex]11x+9<-11y+9[/tex]
First we need to isolate the y
[tex]11y<-11x+9-9[/tex][tex]11y<-11x[/tex][tex]y<\frac{-11}{11}x[/tex][tex]y<-x[/tex]
The boundary line need to be dashed because the sign is less than
Two points of the boundary line can be calculated using the next equality y=-x
x=0
y=0
Point (0,0)
x=-5
y=5
Point (-5,5)
The area will be the area below the boundary line because we have a sign less than
