Question

Explain whether the following set satisfies the well-ordering principle for the integers.
The set of all non-negative integers of the form 43 - 6k, where k is in the set of Integers.

I understand the well ordering principal means there is a least element.

as k is in the set of Integers, we can take:

1) 43 - 6*7 = 43 - 42 = 1

2) 43 - 6*8 = 43 - 48 = -5

As 1 is least element in the non-negative set, this function is well ordered.

Is this reasoning correct?

thanks