Question

Choose the system of inequalities that best matches the graph below.

Answer 1

Answer:

D) $y\:$, $y\:>\:-x$

Step-by-step explanation:

The blue boundary line has a y-intercept of 2 and a slope of  2.

It has equation : $y=2x+2$

Since the boundary line is not solid and the lower half plane of this line is shaded, its inequality is

$y\:$

The blue boundary line passes through the origin and has slope $-1$.

Its equation is $y=-x.$

Since the boundary line is not solid and the right half-plane is shaded, its inequality is $y\:>\:-x$

The correct choice is D.