The graph below shows the solution to which system of inequalities? - 1 A. x2 -3 and y> -X O B. y2-3 and ys-x O C. y> -3 and ys -x D. x>-3 and y2 -x
![The graph below shows the solution to which system of inequalities 1 A x2 3 and ygt X O B y23 and ysx O C ygt 3 and ys x D xgt3 and y2 x class=](https://us-static.z-dn.net/files/d29/def248b061af99e73108c44846b7d53b.jpg)
Answer:
C: y>-3 and y [tex]\leq[/tex] -x
Step-by-step explanation:
The graph below shows the solution to system of inequalities; Choice C; y> -3 and y>= -x
According to the graph in the attached image;
For the solid line graph;
The equation of the line is; y= -x. However, the region below the line is shaded, and hence the ultimate equation of the line is; y <= -x. This is so because the line has slope, -1 and y-intercept, 0.
For the broken line graph;
The equation of the line is simply; y > -3.
Hence, the required system of inequalities is; Choice C; y> -3 and y>= -x
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