If two subjects are joined by the correlative pairs “Either…or” or “Neither…nor,” the verb should agree with the subject that is closer to it.
If the conjunction “nor” appears in a sentence with “neither,” or the conjunction “or” with “either,” then the “Neither/Either” rule (section E of this chapter) no longer applies.
In these constructions, neither and either are no longer the subject. Instead, they function as conjunctions, working in pairs with nor and or to join two other subjects in the sentence. When this occurs, the verb agrees with whichever subject is closer to it.