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  1. \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.
  2. \begin{enumerate}
  3. \item Some students like Alice.
  4. \item Every teacher likes Bob.
  5. \item Some students like every teacher.
  6. \item Some students and Bob play a game.
  7. \item Not every student plays games.
  8. \item Some teachers play no games.
  9. \end{enumerate}