Respuesta :

The answer is D. . .

Answer:

D) [tex]y \geq \frac{-4}{5} +8 .\\\\ y \geq \frac{1}{2} +3 [/tex].

Step-by-step explanation:

Given  : Graph .

To find : shows the solution to which system of inequalities.

Solution : We have given a graph with two solid lines.

We can see from the given graph line both the line are solid  and shaded up So ,

We will use the greater than sign for shaded up and equal to sign for solid line .

One of line has y - intercept ( where the line cut at y axis ) is 8 and slope is [tex]\frac{-4}{5}[/tex] .

Other line has y - intercept ( where the line cut at y axis ) is 3 and slope is  [tex]\frac{1}{2}[/tex] .

Then inequality is

[tex]y \geq \frac{-4}{5} +8 .\\\\ y \geq \frac{1}{2} +3 [/tex].

Therefore, D) [tex]y \geq \frac{-4}{5} +8 .\\\\ y \geq \frac{1}{2} +3 [/tex].