Final answer:
The statement is true; both batch processing and time-sharing systems employ multiprogramming to handle multiple programs or user requests simultaneously, although they do so in different ways.
Step-by-step explanation:
The statement that both batch processing and time-sharing use multiprogramming is True. Multiprogramming is a method where multiple programs are loaded into memory and executed by the CPU concurrently. In batch processing, multiple jobs are accumulated and processed together without user interaction, while in time-sharing, multiple users gain access to the computer system in a time-sliced manner, creating the illusion of immediate response for interactive use.
In batch processing systems, although there is no direct interaction with the user while a job is being processed, the system efficiently manages multiple jobs by switching context whenever there's CPU idle time or while waiting for I/O operations to complete. Time-sharing systems extend upon this principle by rapidly switching between tasks, thus allowing many users to interact with the system simultaneously.