September 14th, 2010, 06:26 PM  #1 
Senior Member Joined: Nov 2009 Posts: 169 Thanks: 0  one prove question
Let A and C be subset of with boundaries B(A), B(C) respectively. Prove or disprove: (1) B(AUC) = B(A)UB(C) (2) B(AC) = B(A)B(C) 
September 15th, 2010, 04:35 AM  #2 
Senior Member Joined: May 2008 From: York, UK Posts: 1,300 Thanks: 0  Re: one prove question
Part (b) is really very easy  just pick any two intersecting, unequal sets and see what happens. For part (a), you can find a counterexample by picking two strict subsets of whose union is the whole of 

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