\item \lect Model the following declarative sentences with predicate logic, as detailed as possible. Clearly indicate the intended meaning of all function, predicate, and constant symbols that you use.

\begin{enumerate}
	\item Some students like Alice.
	\item Every teacher likes Bob.
	\item Some students like every teacher.
	\item Some students and Bob play a game.
	\item Not every student plays games.
	\item Some teachers play no games.
\end{enumerate}