Sentence: 「おや、Xさん。テストの結果が貼りだされているというのに **見て行かなくて** いいんですか？」

How 見ていく is used here is confounding me. 見て行く would be something like "see the
test result and then go his way". I understand that what this character wants
to ask is "Even though the results have already been posted, is it okay to not
give them a look (before going away)". However, why is the 行く in negative form
and not 見る?

The thing the person will leave without doing is "seeing". Would it be wrong
to say 「（…） **見ないで行って** もいいんですか？」? Or 「 **見に行かなくて** いいんですか？」?

There's been repeated instances of an unexpected part of a sentence with the
て-form going into the negative (usually the last verb) and catching me off-
guard as it seems to negate the whole sequence of verbs. In a sentence with
the te-form, if the last verb is negative, does that negation include the verb
in the て-form as well? Or does it happen here because 見て行く(the kanji is
utilized in the source as well, which made me think it was to emphasize
separate actions: 見る and then 行く) is treated differently?
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2020-12-10T14:27:35.193
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2020-12-10T19:18:29.893
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question
て-form negation
Negative form and て行く (maybe て-form in general)
As you interpret, 見て行く means see sth here before go away. 見て行く works like one
word, so negating ない could be added after it. e.g.見ていかなくてもいいの

But also you can divide it and say 見ないで行ってもいいの.

For me 見て行かなくても sounds by far more natural but 見ないで行っても would be barely OK.
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2020-12-10T17:12:02.423
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2020-12-10T17:18:05.373
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answer