Final answer:
The question about the duration a real estate salesperson may remain inactive cannot be answered by the provided text, as this is governed by state-specific real estate regulations.
Step-by-step explanation:
The duration for which a real estate salesperson may elect to remain inactive is not specified within the text provided. Typically, the period of inactivity a real estate salesperson can choose is governed by state regulations, specific to the real estate commission or board of that jurisdiction. To gain accurate information regarding inactivity periods, one would have to review the real estate licensing laws or regulations of the state where the salesperson is licensed.