answersLogoWhite

0

Any one of the sets of the form:

{kz : where k is any fixed integer and z belongs to the set of all integers}

Thus, k = 1 gives the set of all integers,

k = 2 is the set of all even integers,

k = 3 is the set of all multiples of 3,

and so on.

You might think that as k gets larger the sets become smaller because the gaps between numbers in the set increases. However, it is easy to prove that the cardinality of each of these infinite sets is the same.

User Avatar

Wiki User

11y ago

Still curious? Ask our experts.

Chat with our AI personalities

BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake
ReneRene
Change my mind. I dare you.
Chat with Rene
JudyJudy
Simplicity is my specialty.
Chat with Judy

Add your answer:

Earn +20 pts
Q: What is the smallest set of numbers closed under subtraction?
Write your answer...
Submit
Still have questions?
magnify glass
imp