youngbuts Both Mary and Judy aren’t secretaries. That is an unnatural sentence. We would be more likely to say 'Neither Mary nor Judy is a secretary', though many would say, 'Neither Mary nor Judy are secretaries'.
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youngbutsBoth Mary and Judy aren’t secretaries.That is an unnatural sentence. We would be more likely to say 'Neither Mary nor Judy is a secretary', though many would say, 'Neither Mary nor Judy are secretaries'.
youngbutsMary and Judy aren’t secretaries.There is nothing 'partial' about the negation there.
The verb of your sentence is aren't.It doesn't denote an action, or a state.So both can't be used there.
conj. 1 As well; not only; equally.