On a piece of paper, graph y+2>-3x - 3. Then determine which answer
choice matches the graph you drew.
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Answer:
option D
Step-by-step explanation:
[tex]y+2>-3x - 3[/tex]
Subtract 2 from both sides and solve for y
[tex]y>-3x - 5[/tex]
Now graph it using a table
Replace > symbol by == sign
[tex]y=-3x - 5[/tex]
make a table
x y=-3x-5
0 -5
-1 -2
-2 1
Graph the points (0,-5) and (-2,1)
WE have only > symbol so we use dotted line
For shading we use test point (0,0)
[tex]y>-3x - 5[/tex]
Plug in 0 for x and 0 for y
[tex]0>-3(0) - 5[/tex]
0>-5 True
So we shade the region that contains (0,0)
option D is correct