[tex]\begin{gathered} y\ge\frac{1}{2}x-3 \\ y<-\frac{2}{3}x+2 \end{gathered}[/tex]
start sketching the first inequality taking into account that it is all the region above the line of slope 1/2 and crosses over -3
then, do the same for the second equation over the same plane and look at the intersection
the shaded region should be the triangle at the left since the region is a solution to both inequalities.
