In an attempt to make sincere progress on Rudin’s Principles of Mathematical Analysis this coming spring, I’ve decided to give myself a challenge; over the next 10 or so weeks I’ll attempt to answer and write up solutions to every problem in Rosenlicht’s book Introduction to Analysis. To do this, I’ll hopefully complete a chapter each week. Given that I’m actually quite busy, and some of these chapters have 30+ problems in them, this is going to be a difficult thing to do. Still, it’s worth trying. The first chapter, Notions from Set Theory is below. All you really need in order to understand it is some naive set theory, which isn’t difficult to acquire in a few hours of internet research. Thanks, and enjoy!