Hi could someone please explain how one could use vein diagram to show how symmetric difference is associative.

Thanks

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- Jan 21st 2010, 11:51 AMSubZeroassociativity
Hi could someone please explain how one could use vein diagram to show how symmetric difference is associative.

Thanks - Jan 21st 2010, 12:29 PMJhevon
First, write out algebraically what associativity means. then, draw a Venn diagram to describe each side of the equation separately. See whether each diagram is the same. If they are, it is good reason to believe it is associative, but not a proof. You need to be more rigorous for that

(By the way, Venn diagrams are not used as proof for anything. if you want, you can draw several diagrams for each side, showing different situations of the intersections between the three sets)