Question

Which graph shows the solution to the system of linear inequalities? x – 4y < 4 y < x + 1 Image for option 1 Image for option 2 Image for option 3 Image for option 4

Answer 1

The graph in the attached figure

Explanation:

we have

`x-4y<4` ----> inequality A

solve for y

`-4y<-x+4`

`4y>x-4`

`y> (x/4)-1`

The solution of the inequality A is the shaded area above the dashed line

The slope of the dashed line is positive

The y-intercept is the point
`(0,-1)`

The x-intercept is the point
`(4,0)`

`y< x+1` ----> inequality B

The solution of the inequality B is the shaded area below the dashed line

The slope of the dashed line is positive

The y-intercept is the point
`(0,1)`

The x-intercept is the point
`(-1,0)`

Using a graphing tool

The solution of the system of inequalities in the attached figure

Answer 2

It's A

Explanation:

Edg 2020