Final answer:
Closing a file does not necessarily close the program used to work with it; rather, it just removes the file from the program's active memory, allowing multiple files to be opened and closed in the same session.
Step-by-step explanation:
The statement 'Closing a file always closes the program used to work with the file' is false. When you close a file, you are simply telling the system that you are done with that specific file, and it should be removed from your current working space or the program's active memory. However, the program that was used to open or edit the file generally remains open. This allows you to open and close multiple files within the same program without having to restart the program each time.
For example, if you are using a word processor like Microsoft Word, you can close one document and then open another one without having to close the entire Word application. The same concept applies to other file-handling programs such as image editors, PDF readers, or integrated development environments (IDEs).