Question

Which of the following sets are finite or infinite.(i) The set of months in a year. (ii) {1, 2, 3, …, 99, 100}(iii) The set of prime numbers less than 99.

Answer 1

Sets are finite or infinite.

(i) The set of months in a year.

{JANUARY,FEBRUARY,MARCH,APRIL,MAY,JUNE,JULY,AUGUST,SEPTEMBER,OCTOBER,NOVEMBER,DECEMBER}

There are 12 months in a year.

So, this set have 12 elements

So,finite

(ii) {1, 2, 3, …, 99, 100}

{x:x is set of natural number and x<101}

So,this set have 100 elements

So,finite

(iii) The set of prime numbers less than 99.

According to definition of prime number(which is only divided by itself)

So, x is {2,3,5,7,11,13,17,19,23,.......,97}

It is countable and have finite elements

So,finite.

Answer 2

Step-by-step explanation:

all are finite sets because all the sets are well defined

as explained breifly by gogiya157