Answer:
D) [tex]y\:<\:2x+2[/tex], [tex]y\:>\:-x[/tex]
Step-by-step explanation:
The blue boundary line has a y-intercept of 2 and a slope of 2.
It has equation : [tex]y=2x+2[/tex]
Since the boundary line is not solid and the lower half plane of this line is shaded, its inequality is
[tex]y\:<\:2x+2[/tex]
The blue boundary line passes through the origin and has slope [tex]-1[/tex].
Its equation is [tex]y=-x.[/tex]
Since the boundary line is not solid and the right half-plane is shaded, its inequality is [tex]y\:>\:-x[/tex]
The correct choice is D.