Question

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

Answer 1

I said natural numbers but it was wrong :(

Answer 2

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

Answer 3

so that's out

Answer 4

eah

Answer 5

empty set has no elements, so that's finite

so that's out

Answer 6

the set of whole numbers less than one billion

has a billion elements, so it's a lot, but still finite

Answer 7

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

Answer 8

actually 999,999,999 elements but still finite

Answer 9

So none of the above.

Answer 10

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

Answer 11

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