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}

The last one is infinite. The first one is finite because it cannot exceed "10" meaning it won't have excess numbers. The second one is finite because it is a number that stays between 0 and 10 so any number between 0 and ten will have 1 digit no more than 2 so it will stop and not continue. The last one is infinite because it has a whole number which is not a fraction so once simplified it cannot go any further. Also, you must realize the terms used which are "NATURAL NUMBER, WHOLE NUMBER, AND INTEGER." NATURAL NUMBERS are positive integers such as (1, 2, 3 etc, and can also include 0). This means the number cannot be negative and can only have a "like" amount of numbers to it. WHOLE NUMBERS are numbers without fractions so whatever it is it will not be simplified because it has no fraction to it. INTEGERS are just simply whole numbers that have nothing to them. So I say the last one is INFINITE (;not finite) because it's a negative integer and the other two are positive whole numbers.

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