anonymous
  • anonymous
Which of the following sets is not finite? {x|x is a natural number less than 10} {x|x is a whole number between 0 and 10} {x|x is an integer that is less than 0}
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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tkhunny
  • tkhunny
Can you count them? Natural numbers less that 10 - Let's see... 1 2 3 4 5 6 7 8 9 -- Done. That's finite. Let's see what you get for the others.
skullpatrol
  • skullpatrol
@magan Are you still there?
tkhunny
  • tkhunny
Whole number between 0 and 10. Let's see... 1 2 3 4 5 6 7 8 9 -- Done. That's finite. Let's see what you get for the last one.

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skullpatrol
  • skullpatrol
The word "finite" means "limited."
tkhunny
  • tkhunny
Close enough. Is the last one "limited"?
skullpatrol
  • skullpatrol
By "limit" we mean a point beyond which something does not continue. As shown by @tkhunny in the first two examples.
anonymous
  • anonymous
{x|x is an integer that is less than 0} because if you start counting it, it will be -1,-2,-3,.....................................................

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