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Get Answers to all your Questions
Q.2: Which of the following sets are finite or infinite:
(i) The set of months of a year
(ii) {1, 2, 3, . . .}
(iii) {1, 2, 3,... . . 99, 100}
(iv) The set of positive integers greater than 100.
(v) The set of prime numbers less than 99
Answers (1)
(i) The number of months in a year is 12 and finite.
Hence, this set is finite.
(ii) {1,2,3,4.......} and so on; this does not have any limit.
Hence, this is an infinite set.
(iii) {1,2,3,4,5......100} has finite numbers.
Hence, this is a finite set.
(iv) Positive integers greater than 100 have no limit.
Hence, it is an infinite set.
(v) Prime numbers less than 99 are finite, known numbers.
Hence, it is a finite set.
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