Question

The integers that are multiples of 10 (Check all that apply.) Check All That Apply

a) The set is countably finite with one-to-one correspondence 1↔︎0, 2↔︎10, 3↔︎-10, 4↔︎20,5↔︎-20, 6↔︎30, and so on.
b) The set is countably infinite with one-to-one correspondence 1↔︎0, 2↔︎10, 3↔︎-10, 4↔︎20, 5↔︎-20, 6↔︎30, and so on.
c) The set is countably infinite with one-to-one correspondencen n↔︎ⁿ
d) The set is uncountable.

Answer 1

The set of integers that are multiples of 10 is countably infinite with a one-to-one correspondence n ⇆ ≈ –n.

Step-by-step explanation:

The set of integers that are multiples of 10 can be represented as an infinite set:
(b) The set is countably infinite with a one-to-one correspondence n ⇆ ≈ –n.