Answer
please see image:
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Work Step by Step
The inequality $y > \displaystyle \frac{3}{2}x-2$
is graphed with a dashed border line $y = \displaystyle \frac{3}{2}x-2$,
which has a y-intercept=$-2,$
and for x=2, y=1.
Draw a dashed line through ($0,-2)$ and $(2,1).$
Test point: (0,0).$ \quad $Is $0 > \displaystyle \frac{3}{2}(0)-2?$
Yes, shade the region containing (0,0)
The inequality $y < 4$
is graphed with a dashed border line $y = 4.$
Shade the region below the line $y=4.$
The solution set for their UNION is the region with EITHER shading.
