The system of inequalities is:
y < 2x + 1
y ≥ -x + 3
Option D.
Which is the system of inequalities in the graph?
We can see a system of linear inequalities, one with a positive slope that is dashed, and the region shaded is below that line, so we can write:
y < mx + b
That line intercepts the y-axis at y = 1, so b = 1
y < mx + 1
And we can see that for each unit that we move to the right, the graph moves up two units, then:
y < 2x + 1
The other line is solid, and the region shaded is above the line, so we write:
y ≥ mx + b
The y-intercept is at y = 3, so we can write:
y ≥ mx + 3
And for each unit we move to the left, the line moves one unit down, so the slope is -1, then this inequality is:
y ≥ -x + 3
The system is:
y < 2x + 1
y ≥ -x + 3