Trying to understand the usage of "not both" at the end of the sentence [closed]

Solution 1:

Find all bars in Chicago for which we know either the address or the phone number, but not both.

This sentence means: Find all bars in Chicago for which we know either:

• [the address] or [the phone number],

but we do not know

• both [the address and the phone number]

So let's say the adress is A, and the phone number is PN. If you know both the phone number and the address (A + PN) you don't need to find the bar. But if you only know the address (A), or you only know the phone number (PN) then you do need to find the bar.

It's probably easier to understand the sentence if you understand why someone is saying it.

Here is a situation: You are making a tourist guide to bars in Chicago. You have another old guide (1 month old) that you use to help you. The people that wrote the guide were lazy. Sometimes they wrote the address in their guide. Sometimes they wrote the phone number in their guide. Sometimes they didn't write the address and they didn't write the phone number. Sometimes they just didn't write about the bars at all. But their information was reliable

Your job is to help making a new guide to bars in Chicago, but you want to make it a good guide. You need the missing information. So you need to make a list of every bar that you don't have good information about. So if you don't know their phone number, they go on the list. If you don't know their address, they go on the list. But if you know their address and their phone number they don't go on the list because you don't need to get any more information about them. And , of course, if you don't know their address and you don't know their phone number they need to go on the list!

So you only need to get information if you don't know [the address AND the phone number].