### 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

Answer

**(i)**There are 12 months in a year

Hence, months of a year is a finite set.

**(ii)**{1, 2, 3 …} has infinity number of elements.

Hence, {1, 2, 3 ...} is a infinite set.

**(iii)**There are 100 elements in this set.

Hence, {1, 2, 3 …99, 100} is a finite set

**(iv)**There are infinite Positive integers greater than 100.

Hence, The set of positive integers greater than 100 is an infinite set

**(v)**there are finite number of prime number less than 99.

Hence, The set of prime numbers less than 99 is a finite set

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