Go to their profile page and scroll down to the bottom. On the left had side underneath their friends you'll see "Unfriend", click that and they are no longer you're friend :)
they will be removed but you can add them as a neighbor again
You can remove them by either going to their page and in the "Friends" drop-down list select "Unfriend" or by going to your Friends list and unfriending them from there.
The person who visit your Facebook page are generally located on your friends list. If you suspect that a person is viewing your Facebook profile and you don't want them to, remove them from your list or set your page to private.
The Facebook can delete her/him from facebook if he/she has been reported few times. You can remove a friend from your friends list by going to a friend's page and at bottom left corner there's a Remove button.
No
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a facebook cleanse is when you go through your friends list and delete a whole bunch of people. hope this helps :)
No
they are not alerted, but if they go to their friends list it will say "you are no longer friends with this person."
Your facebook friends, if they are on facebook at the same time, will see a little icon at the bottom right of their screen indicating "chat" and the number of their friends who are on facebook at the time. If they click on that icon they will see a list of those people's usernames. Otherwise, no one knows you are on.
That depends really if you know that person and your own opinion of really what a true friend is. On Facebook the people that are on your list are known as "friends" but only you, personally, can determine if they are a friend or just an acquaintance.
When you remove someone from your Xbox Live friends list, you are removed from their friends list and they are removed from yours.