The graph of the solution set for the given system of inequalities can be seen below.
How to graph the system of inequalities?
Here we have two inequalities:
2x + y < 0
y ≥ -4 - 2x
First, we can write both of these in slope-intercept form, to get:
y < -2x
y ≥ -2x - 4
To graph the first one, we need to graph a dashed line along:
y = -2x (we use a dashed line because the symbol < means that the points on the line are not solutions).
And then we shade the region below that line.
For the second one, we need to graph a solid line along:
y = -2x - 4 (this time we sue a solid line, because the points on the line are solutions).
And then we must shade the region above the line.
The graph of the system of inequalities can be seen below. The double shaded region is the solution set for the system.
If you want to learn more about systems of inequalities:
https://brainly.com/question/9774970
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