It means that you have sent the message. The receiving person will get the message shortly after the notification has been displayed.
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It means the person you sent the message to - has seen it.
It means the person you sent the message to - has seen it.
Regardless of how or why you sent a text message, once it is sent from your phone it is billed as a sent text message.
When you send a message on Facebook, your message is private between you and the recipients. It will not appear on the recipient's wall.
The first text message was sent by Neil Papworth in 1992.