Final answer:
The statement is true. Salespersons sponsored by a broker whose license is suspended or revoked become inactive and must find a new sponsoring broker to resume their activities.
Step-by-step explanation:
The statement that if the sponsoring broker's license is suspended or revoked, all the sponsored salespersons would become inactive and could not perform any real estate transactions until they have moved their license to a new sponsoring broker is True.
When a sponsoring broker's license is compromised in such a way, it directly affects the operational status of the salespersons they sponsor. Those salespersons are unable to continue with their real estate activities legally until they are sponsored by another broker who holds a valid and active license.
To resume their real estate transactions, sponsored salespersons must promptly find another eligible broker to sponsor them and handle the necessary paperwork to transfer their sponsorship.