D. graph D
Explanation
Step 1
graph the function as a line
convert
[tex]\begin{gathered} y<-\frac{3}{4}x+2\rightarrow y=-\frac{3}{4}x+2 \\ \end{gathered}[/tex]
to graph, find 2 coordianates
a) when x=0
[tex]\begin{gathered} y=-\frac{3}{4}x+2 \\ y=-\frac{3}{4}\cdot0+2 \\ y=0+2,\text{ y=2} \\ so,\text{ we have P1(0,2)} \end{gathered}[/tex]
b) when
x=-4
[tex]\begin{gathered} y=-\frac{3}{4}x+2 \\ y=-\frac{3}{4}\cdot-4+2 \\ y=3+2 \\ y=5 \\ P2(-4,5) \end{gathered}[/tex]
now, using two points draw a line
Step 2
we are looking fro values under this line, so the answer is
D. graph D
