Question

Need help here plss

Answer 1

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.