The graph can be seen at the end, and by looking at it, you can see that a solution can be (10, 0).
How to graph the system of inequalities?
y ≥ (-1/2)*x + 2 + 1/2
y < (1/5)*x + 6
To graph it, first we need to graph the lines:
y = (-1/2)*x + 2 + 1/2
y = (1/5)*x + 6
Once you have this, we analyze each inequality.
y ≥ (-1/2)*x + 2 + 1/2
Because we use the symbol ≥ we need to use a solid line and we need to shade the region above the line.
For y < (1/5)*x + 6 we need to use a dashed line (the symbol < implies that the points on the line are not solutions) and we need to shade the region below the line.
Then the solution of the system is given by the intersection of the shaded region.
For example, a solution can be the point (10, 0), which you can see that belongs to that region.
If you want to learn more about systems of solutions, you can read:
https://brainly.com/question/9774970
