im lookin for some help on this prove...

Let U be a set and let A and B be subsets of U.

Prove (A\B) compliement = A compliment Union B

thanks

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- Feb 17th 2008, 12:44 PMrodemichprove
im lookin for some help on this prove...

Let U be a set and let A and B be subsets of U.

Prove (A\B) compliement = A compliment Union B

thanks - Feb 17th 2008, 01:07 PMPlato
$\displaystyle \left( {A\backslash B} \right)^c = \left( {A \cap B^c } \right)^c $

You should be able to carry it forward and finish. - Feb 17th 2008, 04:51 PMrodemich
would anybody be able to help work this out? I'm new at this, and the more info that could be included, the more it would help me out. thanks, i appreciate it

- Feb 17th 2008, 07:28 PMtopsquark
- Feb 17th 2008, 08:02 PMrodemich
well i know to prove the equivalence, i need to prove that the statement is true both ways, right?

- Feb 17th 2008, 08:12 PMrodemich
so i gotta prove both

(A/B)* is a subset of A* U B

and

A* U B is a subset of (A/B)* - Feb 17th 2008, 08:14 PMtopsquark
- Feb 17th 2008, 08:15 PMJhevon
- Feb 17th 2008, 08:42 PMrodemich
im fairly familiar with De Morgans Laws, but not enough to use it on my own yet

- Feb 17th 2008, 08:45 PMJhevon