1. The problem statement, all variables and given/known data For real numbers x and y prove the following: llxl - lyll < (or equal to) lx - yl 2. Relevant equations 3. The attempt at a solution Im not really sure where to start, i was considering cases where x < 0 and say y< 0 and what that would imply say x-y would be. But im not sure how to continue.