Which graph represents the solution set of the system of inequalities?{y<2/3xy≥−x+2

Answer:Bottom right graphStep-by-step explanation:We have to use what is called the zero-interval test [test point] in order to figure out which portion of the graph these inequalities share:[tex]\displaystyle y < \frac{2}{3}x \\ \\ 0 ≮ 0[/tex][We shade the portion of the graph that does not contain the origin, which is the right side.][tex]\displaystyle y ≥ -x + 2 \\ \\ 0 ≱ 2[/tex][We shade the portion of the graph that does not contain the origin, which is the right side.]So, now that we got that all cleared up, we can tell that the graphs share a region in between each other ALL ON THE RIGHT SIDE, and that the bottom inequality has a NEGATIVE RATE OF CHANGE [SLOPE], and the top inequality has a POSITIVE RATE OF CHANGE [SLOPE]. Therefore the bottom right graph matches what we want.I am joyous to assist you anytime.