Question

graph each absolute value inequality
y>|x+2|
I know how to graph it but I also have to shade it but how do I know where to shade it?

Answer 1

you read it "y is greater than |x+2|", so you shade any values greater than the line determined by |x+2| (up).

Answer 2

Ok, but how do you know which side is supposed to be shaded? Do you use a formula or is there some type of technique?

Answer 3

the direction that the sign opens.
y>x means y is greater than x
y<x means y is less than x

if the mouth opens toward the y, you shade above the line, if it opens away from the y, you shade below the line.

Answer 4

Ok, thanks a lot.