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}

Question

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}

tkhunny · Answer

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 · Answer

@magan  Are you still there?

tkhunny · Answer

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.

skullpatrol · Answer

The word "finite" means "limited."

tkhunny · Answer

Close enough.  Is the last one "limited"?

skullpatrol · Answer

By "limit" we mean a point beyond  which something does not continue. 

As shown by @tkhunny in the first two examples.

anonymous · Answer

{x|x is an integer that is less than 0} because if you start counting it, it will be -1,-2,-3,.....................................................