Question

graphically, a point is a solution to a system of two inequalities if and only if the point
lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality.
lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality.
lies in the shaded regions of both the top and bottom inequalities.
does not lie in the shaded region of the top or bottom inequalities.

Explanation:

A system of two inequalities requires a solution to satisfy both inequalities simultaneously. Graphically, the solution region for a system of inequalities is the intersection of the solution regions of each individual inequality. So a point must lie in the shaded regions (solution regions) of both the top and bottom inequalities to be a solution to the system.

Answer:

C. lies in the shaded regions of both the top and bottom inequalities.