Question

On a piece of paper, graph y+2>-3x-3

Answer 1

Answer:

option D is correct graph

Step-by-step explanation:

$y+2>-3x-3$

Lets isolate y, subtract 2 on both sides

the inequality becomes $y>-3x-5$

Now for graphing replace the inequality sign by  = sign

$y=-3x-5$

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

$y+2>-3x-3$

$0+2>-3(0)-3$

$2>-3$  True

So we shade the part that contains (0,0)

option D is correct graph

Answer 2

D is the correct answer choice.

Subtract the 2 from both sides.
y>-3x -5

Due to the > symbol, a dashed line and shaded above is needed to complete the graph.