I have the inequality 3y+6>0 then I got y>-2+0 since it was in standard form. To graph this would I need to shave below or above the line

>: Shade above

<: Shade below

Lines are dotted, not solid.

3 y + 6 > 0 Subtract 6 to both sides

3 y + 6 - 6 > 0 - 6

3 y > - 6 Divide both sides by 3

3 y / 3 > - 6 / 3

y > - 2

For graph go on :

w o l f r a m a l p h a . c o m

When page be open in rectangle type :

plot 3 y + 6 > 0 , y = - 5 to 5

and click option =

You will see graph

To graph the inequality 3y + 6 > 0, you first need to solve it for y.

First, subtract 6 from both sides of the inequality to isolate the y term:
3y > -6

Next, divide both sides of the inequality by 3:
y > -2

This tells us that y must be greater than -2 for the inequality to be true.

To graph this inequality on a number line, you would shade above the line at y = -2, because we want all the values of y that are greater than -2.

So, the graph would include all values of y that are to the right of -2 on the number line, with the point at -2 not included.