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  • Which of the following sets are finite or infinite :The set of months of a year ; {1, 2, 3, . . .} ; {1, 2, 3, . . .99, 100} ;The set of positive integers greater than 100 ;The set of prime numbers less than 99

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.

Posted by

Safeer PP

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