## Jellopudin 2 years ago Which of the following sets is an infinite set? {1, 2, 3 . . . 100} empty set the set of whole numbers less than one billion the set of natural numbers none of the above

1. Jellopudin

I said natural numbers but it was wrong :(

2. jim_thompson5910

{1, 2, 3 . . . 100} is finite because there are only 100 elements

3. jim_thompson5910

so that's out

4. Jellopudin

eah

5. jim_thompson5910

empty set has no elements, so that's finite so that's out

6. jim_thompson5910

the set of whole numbers less than one billion has a billion elements, so it's a lot, but still finite

7. Jellopudin

I got 38% on the quiz with tons of going over each awnser so I gotta tripple check

8. jim_thompson5910

actually 999,999,999 elements but still finite

9. Jellopudin

So none of the above.

10. jim_thompson5910

the set of natural numbers has infinitely many elements because if you claim it has finitely many elements, then you would have to point out the largest element (since this set is ordered) but there is no largest element because whatever you say is the largest, I can point out that there is a larger number

11. jim_thompson5910

so that's why "the set of natural numbers" has infinitely many elements