Answer:
D. II and III only
Step-by-step explanation:
Given the system of three inequalities
[tex]\left\{\begin{array}{l}y<\dfrac{1}{2}x+1\\ \\y-3x\ge -2\\ \\y\ge -2\end{array}\right.[/tex]
Plot the solution set to each inequality and find the common region which wil be the solution set to the system of three inequalities (see 1st attached diagram).
Plot points (-2,0), (0,-2), (-1,-1) and (0,1) to find whether these points belong to the shaded region. As you can see, only points (0,-2) and (-1,-1) belong to this region and points (-2,0) and (0,1) do not belong to the shaded region (they lie on the dotted line that means they are not solutions to the system of inequalities)
