Which one of the following sets is infinite?Group of answer choicesThe set of whole numbers less than 10The set of prime numbers less than 10The set of factors of 10The set of integers less than 10
Question
Which one of the following sets is infinite?Group of answer choicesThe set of whole numbers less than 10The set of prime numbers less than 10The set of factors of 10The set of integers less than 10
Solution
The set of integers less than 10 is infinite. This is because the set of integers includes both positive and negative numbers, and there is no limit to how small a negative number can be. Therefore, there are an infinite number of integers that are less than 10. The other sets are finite because they have a specific number of elements. The set of whole numbers less than 10 has 10 elements (0 through 9), the set of prime numbers less than 10 has 4 elements (2, 3, 5, and 7), and the set of factors of 10 has 4 elements (1, 2, 5, and 10).
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