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May 26th, 2015, 05:32 AM  #1 
Newbie Joined: May 2015 From: tiong barhu Posts: 3 Thanks: 0  Laws of Algebra, Set Theory problem
Anyone know how to do this question? Im stuck at (A n B) n (A n Bc) after using demorgan's law. TIA

May 26th, 2015, 09:13 AM  #2 
Senior Member Joined: Dec 2013 From: Russia Posts: 327 Thanks: 108 
Take an example, such as $A=\{1,2,3\}$, $B=\{3,4,5\}$ and the universal set $U=\{1,\dots,10\}$. Compute $A\cap B\cap A\cap B^c$. This may give you a hint for a general proof.

May 26th, 2015, 09:41 AM  #3  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Hello, weijiang! Quote:
 
May 26th, 2015, 04:57 PM  #4 
Newbie Joined: May 2015 From: tiong barhu Posts: 3 Thanks: 0  thanks! By the way how you use associative on (A n B) n (A n Bc) since the rule for associative is (A n B) n C to A n (B n C) which has only a bracket? I dont understand this part Last edited by weijiang; May 26th, 2015 at 05:01 PM. 
May 26th, 2015, 04:59 PM  #5 
Newbie Joined: May 2015 From: tiong barhu Posts: 3 Thanks: 0  

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