1. The problem statement, all variables and given/known data Find all real values of x that satisfy the following inequality. 2. Relevant equations [itex]|x-3| > |x + 1|[/itex] 3. The attempt at a solution Splitting up the inequality in to cases I get: 1. [itex] |x-3| > x + 1[/itex] and 2. [itex]|x-3| < -x - 1[/itex] 1. [itex] x-3 > x + 1[/itex] or [itex]x-3 < -x - 1[/itex] 2. [itex] x-3 < x + 1[/itex] or [itex]x-3 > -x - 1[/itex] The solutions to these inequalities just don't make sense. I've done something wrong with splitting them up, but I'm not sure what.