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I require some guidance with the following question:

Consider the following subsets of all integers. $$\begin{align*} A&=\{2n+1\mid n\text{ is an element of all integers}\}\\ B&=\{3n\mid n\text{ is an element of all integers}\}\\ C&=\{3n+2\mid n\text{ is an element of all integers}\} \end{align*}$$ Find each of the following sets, and express it in set-builder notation.

  1. $A-B$.
  2. $B\cap C$.
  3. $C\cap B^c$
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    Please don't yell. (All caps are interpreted as yelling).2011-03-31
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    This is the first time I see that terminology "set builder notation".2011-03-31
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    @Adrian: Unfortunately common in (IMHO bad) books (of which there are far too many).2011-03-31
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    @Ryan P: It's called the "complement of $B$", not the "inverse of $B$".2011-03-31
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    Yes, I am sorry, I meant the complement of B.2011-03-31
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    Yelling has been fixed. :)2011-03-31

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