Answer:
option D is correct graph
Step-by-step explanation:
[tex]y+2>-3x-3[/tex]
Lets isolate y, subtract 2 on both sides
the inequality becomes [tex]y>-3x-5[/tex]
Now for graphing replace the inequality sign by = sign
[tex]y=-3x-5[/tex]
LEts make a table
x y=-3x-5
-2 1
0 -5
1 -8
We have only > symbol , so we use dotted line for graphing the line
Now for shading use test point (0,0)
Plug in 0 for x and 0 for y
[tex]y+2>-3x-3[/tex]
[tex]0+2>-3(0)-3[/tex]
[tex]2>-3[/tex] True
So we shade the part that contains (0,0)
option D is correct graph
