Recently I've started to study mathematics with an olympic approach, and I'm feeling a little lost. The thing is that I understand the concepts pretty well and am able to solve some of the problems, but when it gets to a harder level I simply get stuck and am unable to solve anything, and sometimes even after I see the solution or demonstration I would never know how to follow those exact steps, specially when it comes to inequalities. It is hard to find material on the specific strategies you need to solve certain types of problem, and it is really frustrating for me since I really love math.
Do you guys have any suggestion of books or something I could do to actually succeed on solving those problems? How should I study for subjects like these?