Final answer:
The shaded region of the system is located in quadrants I and II of the coordinate plane.
Correct option is b.
Step-by-step explanation:
The shaded region of the system where y is greater than or equal to x and y is greater than or equal to -x is located in quadrants I and II of the coordinate plane.
To understand this, let's look at the inequalities in the system:
When we graph these inequalities, we see that the shaded region includes all points that are above both the line y = x and the line y = -x. These lines create a region in the first and second quadrants of the coordinate plane.