Question: Consider the following six subsets of Z.

\(\begin{aligned} & A=\{2m+1|m\in Z\} \\ & B=\{2n+3|n\in Z\} \\ & C=\{2p-3|p\in Z\} \\ & D=3r+1|r\in Z\} \\ & E=\{3s+2|s\in Z\} \\ & F=\{3t-2|t\in Z\} \\ & \\
\end{aligned}\)

Which of the following statements are true and which are false?

a) A=B
b) A=C
c) B=C
d) D=E
e) D=F
f) E=F