Question

Graph the solution of the following inequality and answer the questions below

Answer 1

We have the next inequality

`11x+9<-11y+9`

First we need to isolate the y

`11y<-11x+9-9`
`11y<-11x`
`y<(-11)/(11)x`
`y<-x`

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