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    Sets and Functions : The Symmetric Difference of Two Sets

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    The symmetric difference of two sets A and B, denoted by A Δ B, is defined by A Δ B = ( A - B ) U ( B - A ); it is thus the union of their differences in opposite orders. Show that A Δ ( B Δ C ) = ( A Δ B ) Δ C.

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    Topology
    Sets and Functions (X)
    The Algebra of Sets
    The Symmetric Difference of two Sets

    By:- Thokchom Sarojkumar Sinha

    The symmetric difference of two sets and , denoted by , is defined by ; it is thus
    the union of their differences in opposite orders. Show that

    Solution:- To show that

    We have,

    ,
    where

    For

    ...

    Solution Summary

    The symmetric difference of two sets is investigated in an attached word file. The solution is well-detailed, including written notes to aid understanding and many lines of fully-displayed calculation.

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