Final answer:
Once a transaction changes the database and the changes are committed, they must never be lost because of subsequent failure.
Step-by-step explanation:
The statement is true. Once a transaction changes the database and the changes are committed, they must never be lost because of subsequent failure. This concept is known as atomicity in database management systems. Atomicity ensures that either all the changes in a transaction are implemented or none at all. If a failure occurs after the changes are committed, the database should be able to recover the changes using mechanisms like transaction logs or checkpoints.