I'm trying to prove problems like the following and I'm having issues since I have never been showed just how to work such a problem.
Prove the following inequality:
I'm sure this is quiet an easy problem I just need to have it showed to me since I'm really not used to be thinking "in proofs" just yet!
Yeah i got that , problem is that I do not understand the why. I get that you can get:
but at this point do we just assume that it's obvious that we can remove the absolute function of x-2 (since it will always be positive due to the initital constraint) or how do we prove that we can remove it ?
This is my proof, either I am doing something wrong or I just can't seem to grasp the why in what I'm doing:
Since we can remove the absolute function and we get
and now somehow this equals
why does and/or why am I messing up?
Help and thanks a lot!
So I'm just using a method that was completely wack then
So since implies that
and then we multiply both sides by and boom we got
which is equal to our original problem...
Sweet thanks! I think I just got to do a few of these to get myself into the game