Answer:
[tex]y<-\frac{1}{2}x\\ y\geq -1[/tex]
Step-by-step explanation:
We observe in the graph that one line is horizontal, and its solution is the area above. Such line intercepts y-axis at [tex]y=-1[/tex], and the solutions are all numbers more than -1, that means its inequality is
[tex]y\geq -1[/tex]
The sign [tex]\geq[/tex] is the right one for this line, because the graph shows a solid line, which means that -1 is part of the solution.
If you observe all the options, you would see that the third choice is the only one that has [tex]y\geq -1[/tex] included.
Therefore, the answer is
[tex]y<-\frac{1}{2}x\\ y\geq -1[/tex]
