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Note.
You may say «преподаватель» about «учитель» (in school), but not «учитель» about «преподаватель» (in high school). Words преподаватель, преподавать, читать лекции are words of a high school...

Thanks a lot!

Usually yes, but this rule is not strict.
Usually yes, but the rules regarding usage are not very strict.
:)


Yes.


It's right also, but I think more correctly: Преподаватель преподаёт...