Q:

On a piece of paper, graph this system of inequalities. Then determine which region contains the solution to the system. Help!!

Accepted Solution

A:
we have[tex]y\leq \frac{1}{4}x+3[/tex] ----> inequality 1The solution of the inequality 1 is the shaded area below the solid red line The solution is the region D and region C[tex]y\geq-x+5[/tex] -----> inequality 2The solution of the inequality 2 is the shaded area above the solid blue line The solution is the region B and region CThe solution of the system is the common area soThe solution is the region Csee the attached figurethereforethe answer is the option CRegion C