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Posted 27 May 2008

OPERATIONS ON SETS

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Subsets and inclusion

Union and intersection

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Tuples   tuple

## Set subtraction

For sets A and B, the notation  refers to the set   the set of elements of A that are not in B. (See sebuilder notation).  Examples:

¨

¨

¨   is the set of nonzero real numbers.

¨  , since .

¨   is a meaningless expression, since  is not a set.

¨  {1, 3, 5, 6} \ {4, 5, 7} = {1, 3, 6}.

¨  {1, 3, 5, 6} \ {2, 4, 8} = {1, 3, 5, 6}.