Question

How do you choose which side to shade in if it says 2x-y>4

Answer 1

I will give you an example, and I hope you can understand it easier!(:
You first have to find an intercept. Lest choose to find the y intercept (the value of y when x is zero) so we plug in zero for x and get:

6(0) - 2y > -4
That becomes-
-2y> -4
then we solve for y by treating the > like an = sign so we divide each side by -2......
y<2
Notice that I flipped the sign... you MUST flip the sign when ever you divide by a negative!!!!!!
anyway so y<2....
So on the graph you will go to the point where y is 2 and draw a horizontal line across the 2 on they axis.

THEN to shade... you just shade the bottom half of the graph...
What you do to figure this out it pick any random point not on the line we drew and plug it into the original equation and if it comes out as a true statement, that is the side you shade.

For this problem lets chose point (0,0)
6(0) - 2(0) >-4
0>-4
since that is a true statement we shade the side of the line with the point (0,0)

Hope that was clear!

Answer 2

Ok that makes sense. Thank you

Answer 3

Okay, Good! that is the point. And no problem