anonymous
  • anonymous
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
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
I said natural numbers but it was wrong :(
jim_thompson5910
  • jim_thompson5910
{1, 2, 3 . . . 100} is finite because there are only 100 elements
jim_thompson5910
  • jim_thompson5910
so that's out

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anonymous
  • anonymous
eah
jim_thompson5910
  • jim_thompson5910
empty set has no elements, so that's finite so that's out
jim_thompson5910
  • jim_thompson5910
the set of whole numbers less than one billion has a billion elements, so it's a lot, but still finite
anonymous
  • anonymous
I got 38% on the quiz with tons of going over each awnser so I gotta tripple check
jim_thompson5910
  • jim_thompson5910
actually 999,999,999 elements but still finite
anonymous
  • anonymous
So none of the above.
jim_thompson5910
  • 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
jim_thompson5910
  • jim_thompson5910
so that's why "the set of natural numbers" has infinitely many elements

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