Q. 24.3( 58 Votes )

Which of the foll

Answer :

(i) Given: The set of months of a year.


As we know set is a collection of well defined objects.


Let we represent the given set in roaster form:


Set of months of a year is {January, February, march, April, May, June, July, August, September, October, November, December}.


Because the set contain 12 elements. Hence, it is a finite set.


(ii) Given: {1, 2, 3, . . .}.


As we know set is a collection of well defined objects.


As it is already represented in roaster form:


Set = {1, 2, 3, . . .}.


Because the set contain infinite number of natural numbers. Hence, it is an infinite set.


(iii) Given: {1, 2, 3, . . .99, 100}.


As we know set is a collection of well defined objects.


As it is already represented in roaster form:


Set = {1, 2, 3, . . .99, 100}.


Because the set contain finite number from 1 to 100.Hence, it is a finite set.


(iv) Given: The set of positive integers greater than 100.


As we know set is a collection of well defined objects.


Let we represent the set in roaster form:


Set of positive integers greater than 100 = {100,101,102,…}.


Because the set contain an infinite number from 100 to infinity. Hence, it is an infinite set.


(v) Given: The set of prime numbers less than 99.


As we know set is a collection of well defined objects.


Let we represent the set in roaster form:


The set of prime numbers less than 99 = {2, 3, . . .99}.


Because the set contain finite prime number from 2 to 99. Hence, it is a finite set.


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