Hi there!
We can solve this system graphically by rearranging both equations into the form y = mx + b:
2x - y < 3
-y < -2x + 3
Multiply all terms by -1 (switch to greater than sign)
y > 2x - 3
x + 2y ≥ 4
2y ≥ -x + 4
Divide all terms by 2:
y ≥ -x/2 + 2
Graph the two inequalities: *Shown Below*
Therefore, any point in the region where the two graphs intersect, or the purple area, is a solution to this set of inequalities.
