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set union

by Heather
(centreville, va, US)

is set union commutative? why?

In other words, does the order of the set union matter? Are the results the same regardless of the order?

Is this true:

A ∪ B = B ∪ A


A ∪ B ∪ C = A ∪ C ∪ B


Comments for set union

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Sep 12, 2010
Set Union
by: Staff

The question:

by Heather
(Centreville, Va, US)

Is set union communtative?


The answer:

Yes, set union is both communtative and associative.

Adding two (or more) sets together yields the same result regardless of the order in which they were added.

The result of the union of sets is a new set which contains all the elements of the original sets.

See: http://www.solving-math-problems.com/math-symbols-set-union.html

Thanks for writing.


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