Final answer:
To find the solution to the system of inequalities, graph the two inequalities and find the overlapping region.
Step-by-step explanation:
To find the solution to the system of inequalities, we need to graph the two inequalities and find the region where the two shaded areas overlap. Let's start by graphing the first inequality, y ≥ -x - 2. Plot the y-intercept at -2 and use the slope -1 to determine additional points. Shade the region above the line since it is greater than or equal to.
Next, graph the second inequality, y > 1/2x + 7. Plot the y-intercept at 7 and use the slope 1/2 to determine additional points. Shade the region above the line since it is greater than.
The solution to the system of inequalities is the overlapping shaded region of the two graphs.