The system of inequalities in the graph is:
y ≥ x
y > (-2/3)*x + 2
How to find the system?
Here we have a system of linear inequalities, so we need to find both inequalities.
First we can see a solid line with positive slope, we can see taht the shaded area is above the line, then we can write:
y ≥ line
Now, this line intercepts the y-axis at y = 0, and for each unit that we move to the right we move one unit up, so the line is y = x, then the inequality is:
y ≥ x
Then we can see that the other inequality is a dashed line, again, the shaded region is above the line:
y > ax + b
Here the y-intercept is y = 2
y > ax + 2
And it passes through (3, 0), then:
0 = a*3 + 2
-2 = a*3
-2/3 = a
This inequality is:
y > (-2/3)*x + 2
The system is:
y ≥ x
y > (-2/3)*x + 2