Question 15185
The rule that I use is not the way most people teaching math use, but I like it.  Whenever you have an equation with a 

POSITIVE coefficient of y > or >= , you must shade ABOVE the line.
POSITIVE coefficient of y < or <= , you must shade BELOW the line.


That's as simple as it gets!  Examples:
2x+3y < 6   Shade Below
2x+3y > 6   Shade Above
2x+3y >= 6  Shade Above
2x+3y <= 6  Shade Below


So, what if you have a NEGATIVE COEFFICIENT of Y?  Well, if you multiply both sides of an inequality by a negative, this reverses the inequality, and therefore it REVERSES the RULE!!
2x - 3y < 6  same as -2x+3y> -6  Shade Above!!


See if that helps.  If you need more, I might be able to send you a section from my book in a word file.


R^2 at SCC