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Think about it - this one is fairly simple. Ask yourself the question: "Does this set have a largest element?" If the answer is "yes", then the set is finite. If the answer is "no", the set is infinite.

Note: This reasoning works for subsets of natural numbers; for integers, additional adjustments are needed.

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Q: Is a finite or infinite what the set of odd number greater than 25?

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There are an infinite number of primes greater than any number given.

The set of positive integers less than 50 is finite (there are 49).The set of all integers less than 50 is infinite, because it includes an infinite number of negative numbers.

0.888, 4, and 3 million are among the infinite set of numbers greater than 0.833.

It was presumably proven when it was discovered that there were infinitely many counting numbers. However, whoever it was, did not consider the mathematical possibility with practicality. The universe has a finite life. Within that our solar system is finite. People, in their turn, have finite lives. In a finite life you can only "dial" a finite number of digits. therefore, you can only call a number if it has a finite number of digits. For any finite number of digits, there are only a finite amount of phone numbers. So, having infinitely many telephone numbers is no use if you need to wait an infinite amount of time (longer than you'll live) for the first person to call you!

There is an infinite number of prime numbers. It is not possible to list them.

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Infinite.

No, there are an infinite number of integers. So, there would be an infinite (infinity/2-1) number of positive integers. And, there would be an infinite (infinity-10) number of integers greater than ten.

It is finite. There are exactly 66,415 of them.

The positive integers less than 100 are a finite set. The positive integers greater than 100 are an infinite set.

infinite

There are an infinite number of primes greater than any number given.

If the set has "n" elements, then you can make 2n different subsets. The number of subsets will always be greater than the size of the set, both for finite and for infinite sets.

Just add one to 100 (or to any finite number, for that matter), to get a number that is larger than the original number.

no, a neutron has a finite volume and thus a finite density, the singularity of a black hole has zero volume and thus infinite density.Infinity >>>>> any finite value

An infinite number of them.

The set of positive integers less than 50 is finite (there are 49).The set of all integers less than 50 is infinite, because it includes an infinite number of negative numbers.

I don't know how to "grate" a number ... numbers are not cheese. An infinite number of numbers are "greater" (larger) than 64. Likewise, an infinite number of numbers are not "greater" (in other words, less than) 64, starting with 63, 62, 61, ... Actually, there are an infinite numbers that are less than 64, but greater than 63, unless you specify "whole numbers".

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