Final answer:
The list of multiples for the number 6 is indeed infinite, as multiples are the product of 6 and an integer, and the set of integers is unbounded.
Step-by-step explanation:
The statement that the list of multiples for 6 is infinite is true. In mathematics, a multiple of a number is the product of that number and an integer. Since there is no limit to the integers (they go on indefinitely), we can always find a new, higher multiple of 6 by multiplying it by the next integer. This is represented by the sequence: 6, 12, 18, 24..., where each term is the product of 6 and an increasing positive integer. There is no largest integer; therefore, the process of finding larger multiples of 6 can continue infinitely.