pdf about inequalities
I've found this pdf : http://mathcircle.berkeley.edu/inequalities.pdf, which looks like a good handbook for inequalities. There are several demonstrations and a bunch of exercises in the end, without correction. I guess this is rather useful for having inequalities within one's reach.
Attached is another pdf, that may come from the AoPs forum (I had it on my computer, but can't remember where I took it), dealing with inequalities too but more complete in its explanations.