The graph of the system of inequalities is in the image at the end.
How to graph the system of inequalities?
Here we have the system of inequalities
x - y ≥ -4
x + y ≤ 2
First we can write both inequalities as lines in slope-intercept form, we will get:
y ≤ x + 4
y ≤- x + 2
So just graph these two lines with solid lines (due to the symbols ≤ used)
And y must be smaller than the lines, so we need to shade the region below the lines, we will get: