The solution to the system of inequalities is the overlapping region between the lines y = -3x - 4 and y = x - 3.
-y ≤ 3x + 4
Simplifying: y ≥ -3x - 4
-3x + 3y ≤ -9
Simplifying: y ≤ x - 3
Now, we can analyze the system:
The first inequality, y ≥ -3x - 4, represents a region above the line y = -3x - 4.
The second inequality, y ≤ x - 3, represents a region below the line y = x - 3.
The solution to the system is the overlapping region between these two inequalities. To find the exact solution, you'd need to graph these lines on the same coordinate system and identify the overlapping area. The point where the shaded regions of both inequalities intersect is the solution to the system.