the graph below shows the solution to which system of inequalities

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].