Answer:
The statement is TRUE. For can write, listen to music, dance and read in the library.
Step-by-step explanation:
A library is a place where you can consult books, essays, novels and all kinds of literature, physical of digital, for you to learn about something and take notes or do homework based on the research done there. This is why WRITE (escribir) and READ (leer) are the most correct options in the statement, since the library is made for creating a context where people can achieve these main purposes: reading and writing about anything without distractions.
And that is why in a library is not allowed to listen to music loudly (escuchar música) because it could break the atmosphere of concentration and study in which the library is based on, this is also why you cannot talk in the library. Nevertheless, some people stimulates their concentration with certain kind of music, so you actually can listen to music in a library but only if you listen to it with headphones.
Finally, you can actually dance (bailar) in the library, as long as it does not become a distraction for you and for others. This means that library cannot be a place where people make dance rehearsals for contests, but visitors could dance a little while they find a book they where looking for or when they finally finished their homework, but not more.
With all the considerations above, the statement is true, for you can write, listen to music, dance and read in the library.