varun_783 wrote:But you may be good at this so I am sure this is a case of personal opinion. However, you will find that picking numbers on these kind of absolute value and inequality problems is the quicker method.
you should definitely not hesitate to pick numbers if you find that using theory is just not working for you.
remember, the issue is not trying to figure out ahead of time what will be fastest -- the issue is just trying to collect as many methods as possible
. this way, if you are stuck on any one particular method, you can just say "oh well", abandon that method, and start trying something else.