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.
- $A-B$.
- $B\cap C$.
- $C\cap B^c$