Answer:
Option D- y > x – 2 and y < x + 1
Step-by-step explanation:
To determine : Which system of linear inequalities is represented by the graph?
Solution : First we examine the graph
The shaded region in purple is drawn using two line
The first line above the origin passing through the points (0,1) and (-1,0)
The equation of line passing through two points is
So, the equation of that line
The second line below the origin passing through the points (0,-2) and (2,0)
The equation of line passing through two points is
So, the equation of that line
Now, to check the system of inequality substitute point (x,y)=(0,0)
First equation
means
Second equation
means
Therefore, Option D is correct.
The linear inequalities of the system is y > x-2 and y < x + 1