Question

svlc algebra 1a - standard (15260)
solving systems of linear inequalities
describing a solution
graphically, a point is a solution to a system of two inequalities if and only if the point
does not lie in the shaded
region of the top or
bottom inequalities.
lies in the shaded regions
of both the top and
bottom inequalities.
lies in the shaded region
of the bottom inequality,
but not in the shaded
region of the top
inequality.
lies in the shaded region
of the top inequality, but
not in the shaded region
of the bottom inequality.

Explanation:

To determine the solution to a system of two linear inequalities graphically, a point must satisfy both inequalities. The shaded region of each inequality represents the set of points that satisfy that inequality. So, for a point to be a solution to the system, it must lie in the shaded regions of both inequalities (since the system requires both inequalities to be true simultaneously). The other options describe points that satisfy only one inequality or neither, which does not satisfy the system.

Answer:

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