How to use neither correctly

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now that

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you know we shouldn't say neither nor is

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there ever a correct and natural way to

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use the word neither yes let me tell you

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the most common situation to use neither

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is if I said I don't like politics and

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you responded me neither

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you're agreeing with my negative

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statement but here's the tricky part I

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could say I don't like politics and you

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could say me either you could use this

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positive word to agree with my negative

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sentence so which one of these is

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actually correct well we have a negative

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sentence I don't like politics so we

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need that negative word to respond to it

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me neither

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technically this is correct and you

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should probably use this in maybe

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business situations or those kind of

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formal situations but in daily spoken

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English you are definitely gonna hear

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people say me either

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this is grammatically incorrect but

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native speakers use this a lot and I

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don't know exactly why but I kind of

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feel like it's because we feel little

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strange using the word neither because

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we don't use