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May 26th, 2015, 05:32 AM   #1
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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-
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May 26th, 2015, 09:13 AM   #2
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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.
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May 26th, 2015, 09:41 AM   #3
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Hello, weijiang!

Quote:
Anyone know how to do this question?




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May 26th, 2015, 04:57 PM   #4
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Quote:
Originally Posted by soroban View Post
Hello, weijiang!




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.
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May 26th, 2015, 04:59 PM   #5
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Quote:
Originally Posted by Evgeny.Makarov View Post
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.
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