Class 11

Math

JEE Main Questions

Sets

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

$(ii){1,2,3…}$- It is a set of all natural numbers which is infinite.

$(iii){1,2,3,…,99,100}$ - It is a set of all natural numbers till 100 as we know the limit. As is a finite set.

$(iv)$ The set of positive integers greater than 100 - As positive integers from 100 are infinite and we do not know the limit, it is an infinite set.

$(v)$ The set of prime numbers less than 99 - As prime numbers less than 99 are finite and we know the limit of this set, it is a finite set.