The graph below represents which system of inequalities?A)y > 2x − 3y > −x − 3B)y < 2x − 2y < −x + 3C)y ≤ 2x − 2y > −x + 3None of the above

Answer:y ≤ 2x -2 Option C.Step-by-step explanation:Equation of the dotted line which passes through (3,0) and (0,8) will be y = mx+Cm = [tex]\frac{y-y'}{x-x'}=\frac{3-0}{0-3}[/tex] = -1 and C = 3So equation will be y = x + 3But shaded blue part is above the dotted line so inequality will be y> -x +3Equation of the second solid line which passes through ( 0,-2) and (1,0) will bey = mx + Cm = [tex]\frac{y-y'}{x-x'}[/tex] = [tex]\frac{0+2}{1-0}[/tex] = 2and C = -2So equation of the line will be y = 2x - 2But shaded yellow part is below the solid line.So inequality will bey ≤ 2x -2Option C. is the answer.