How can we show that A/B, B/A and A and(Cant do the upside down u symbol) B are disjoint sets?
Thanks for your help in advance
If you want to show that 3 sets A,B,C are pairwise disjoint then you can show the following implications: $\displaystyle x\in A \Rightarrow x\notin B, x\in B\Rightarrow x\notin C, x\in C\Rightarrow x\notin A$
For example: $\displaystyle x\in A\setminus B \Rightarrow x\notin B \Rightarrow x\notin B\setminus A$. Thus $\displaystyle A\setminus B$ and $\displaystyle B\setminus A$ are disjoint sets.