Question

Which of the following graphs represents the solution set for y< -2x – 4? ​

Answer 1

Given:

The inequality is
`y<-2x-4`.

To find:

The graph of the given inequality.

Solution:

The inequality is

`y<-2x-4`

The related equation is

`y=-2x-4`

For x=0,

`y=-2(0)-4`

`y=0-4`

`y=-4`

For y=0,

`0=-2x-4`

`4=-2x`

`(4)/(-2)=x`

`-2=x`

So, the related line passes through two points (0,-4) and (-2,0).

Sign of inequality is <, so the related line is a dotted line and shaded region is below the related line.

Therefore, the correct option is B.