Without going into too much detail, I don't think we actually went over inequalities in much depth in any crappy high school or college math class I've ever taken. Now that I am studying proofs, I notice a constant use of inequality tricks without justification (so I am assuming its supposed to be either obvious or known to be true.)
Over time I sort of intuitively or habitually picked up on some patterns, but I want something more concrete.
Looking online for inequalities only gives me few very basic rules. Where do I find a more detailed source for knowing and understanding more elaborate algebraic inequality arguments.
Yeah to clarify I am talking about rational function, absolute value inequalities etc... I am sure it is basic stuff for most of you.