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Symmetric Difference Of Sets

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☼ Symmetric Difference Of Sets : The symmetric difference of two sets A and B is defined by :

A $\triangle$ B = ( A $\cup$ B ) – ( A $\cap$ B )

= ( A – B ) $\cup$ ( B – A ) .

e.g. If A = { a, b, c, d } and

B = { b, d, e, f , g}, then

A $\cup$ B = { a, b, c, d, e, f, g } and A $\cap$ B = { b, d }.

A $\triangle$ B = ( A $\cup$ B ) – ( A $\cap$ B ) = { a, c, e, f, g }.