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

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- Dec 24th 2009, 07:32 AMadam_leedsDisjoint sets
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 - Dec 24th 2009, 07:59 AMPlato
- Dec 24th 2009, 10:06 AMadam_leeds
- Dec 24th 2009, 10:19 AMPlato
- Dec 24th 2009, 10:22 AMDinkydoe
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. - Dec 24th 2009, 10:45 AMadam_leeds
thank you im giving up for now as its xmas tomorrow

merry xmas everyone :)