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) Number of months in a year are 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 infinite set.

(iii) {1,2,3,4,5......100} has finite numbers.

Hence ,this is finite set.

(iv) Positive integers greater than 100 has no limit.

Hence,it is infinite set.

(v) Prime numbers less than 99 are finite ,known numbers.

Hence,it is finite set.

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