Given:
The inequality is [tex]y<-2x-4[/tex].
To find:
The graph of the given inequality.
Solution:
The inequality is
[tex]y<-2x-4[/tex]
The related equation is
[tex]y=-2x-4[/tex]
For x=0,
[tex]y=-2(0)-4[/tex]
[tex]y=0-4[/tex]
[tex]y=-4[/tex]
For y=0,
[tex]0=-2x-4[/tex]
[tex]4=-2x[/tex]
[tex]\dfrac{4}{-2}=x[/tex]
[tex]-2=x[/tex]
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.
