Which one of the following is an infinite set ?The set of human beings on the earthThe set of water drops in a glass of waterThe set of trees in a forestThe set of all primes
Question
Which one of the following is an infinite set ?The set of human beings on the earthThe set of water drops in a glass of waterThe set of trees in a forestThe set of all primes
Solution
The set of all primes is an infinite set. This is because prime numbers are numbers that have only two distinct positive divisors: 1 and the number itself. The first few prime numbers are 2, 3, 5, 7, 11, and so on. There is no largest prime number, therefore, the set of all primes is infinite.
The other options - the set of human beings on the earth, the set of water drops in a glass of water, and the set of trees in a forest - are all finite sets because they have a countable number of elements.
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