Respuesta :
Answer:
C. Region B
Step-by-step explanation:
Since you already have the graphs of the lines, you only need to shade the proper area.
For the first equation, since y is less or equal than x-2 you have to shade the bottom part of the line.
For the second one, since y is more or equal to 1/4x+4 you have to shade the upper part of the line.
The answer is the region where the to shaded parts intersects each other.
The shaded region of a system of inequalities is the solution to the system
The region that contains the solution is B.
The inequalities are given as:
[tex]\mathbf{y \le x - 2}[/tex]
[tex]\mathbf{y \ge \frac 14x - 4}[/tex]
See attachment for the graphs of [tex]\mathbf{y \le x - 2}[/tex] and [tex]\mathbf{y \ge \frac 14x - 4}[/tex]
From the graph, we can see that the inequalities intersect at region D.
But the shaded region is region B
Hence, the region that contains the solution is B.
Read more about system of inequalities at:
https://brainly.com/question/19526736