We want to imagine where the shading should be, and with that determine which point is a solution for both inequalities. We will see that the solution is the point (7, -8)
Interpreting inequalities:
In this case, the inqualities are:
- y < -x + 1
- y < (-1/2)*x - 1
You can see that in both cases, y is smaller than the line, thus, for both inequalities, we must shade the part that is below the lines.
With that in mind, the region of solution will be the region that is below both lines at the same time, and that region will be the "triangle" that you can see at the middle below the horizontal axis.
Now that we know the region of solutions, we only need to see which point belongs there, from the given options the only that belongs to that region is the point (7, -8), which means that this point is a solution for both inequalities.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/11234618
