Prove the following inequalities for all numbers x, y.
|x+y| ≥ |x|-|y|
[Hint: Write , and apply , together with the fact that
These were given as hints in my textbook:
|a+b| ≤ |a| + |b|
The Attempt at a Solution
I realize that this is very elementary but this is my first day teach myself calculus and that I am inexperienced using proofs in math. Any and all help is greatly appreciated.