can some 1 please help me.

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- Jan 26th 2009, 02:22 PM1234567symmetric difference
can some 1 please help me.

Attachment 9838 - Jan 27th 2009, 12:41 AMMoo
Hello,

, this is according to the definition you're given.

It is pretty obvious that it is commutative, by commutativity of and .

As for associativity, you have to prove that . Just use the definition.

What is the identity, that is to say what is E such that ? . If and , you're done. The set E verifying this condition is

As for the inverse, you're looking for F such that .

If , then you're done.

So

For the last question, just rewrite the definition :

(the complement) - Jan 27th 2009, 11:15 AM1234567