My Math Forum Set theory MOD Help.

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 March 5th, 2012, 05:09 AM #1 Member   Joined: Feb 2012 Posts: 31 Thanks: 0 Set theory MOD Help. If E = { n e Z:1 =< n =< 12} A={n e Z:12 mod n=0} B={n e E: n is a prime number} C={n e Z: n mod 1=2} Enumerate the elements of A U B ______ (A U C) C - A Could someone explain in steps how to solve this question?
 March 5th, 2012, 05:56 AM #2 Math Team   Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,990 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus Re: Set theory MOD Help. [color=#000000]The first thing you have to do is to specify the elements of each set. I made some changes because I think that there are problems in the wording of the exercise. $E=\{1,2,3,4,5,6,7,8,9,10,11,12\}$ $A=\{{n\in E:\;12\equiv 0 \,\pmod{n}\,\}=\{ 1,2,3,4,6,12\}$ $B=\{n\in E:\;n\in\mathbb{P}\}=\{1,2,3,5,7,11\}$ $C=\{n\in E:\; n\equiv 1\, \pmod{2}\,\}=\{ 1,3,5,7,9,11\}$ [/color]
 March 5th, 2012, 07:29 AM #3 Global Moderator   Joined: Dec 2006 Posts: 21,105 Thanks: 2324 To typeset an arithmetic congruence using the latex tag, please use \pmod as illustrated below: $x\equiv y\,\pmod n$   (based on x\equiv y\,\pmod n).
 March 5th, 2012, 08:31 AM #4 Member   Joined: Feb 2012 Posts: 31 Thanks: 0 Re: Set theory MOD Help. Thanks for all the help.
March 6th, 2012, 12:52 PM   #5
Math Team

Joined: Nov 2010
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Re:

Quote:
 Originally Posted by skipjack To typeset an arithmetic congruence using the latex tag, please use \pmod as illustrated below: $x\equiv y\,\pmod n$   (based on x\equiv y\,\pmod n).

[color=#000000]Ok I corrected it, I tried to use \mod but it didn't work here![/color]

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