Which of the following sets are finite or infinite
(i) The set of months of a year
(ii) $\{1,2,3, \ldots\}$
(iii) $\{1,2,3, \ldots 99,100\}$
(iv) The set of positive integers greater than 100
(v) The set of prime numbers less than 99

Answer

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Algebra

NCERT Class 11 - Math

Chapter 1

Sets

Section 2

Sets and their Representations

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Video Transcript

which of the following sex are finite or infinite. The set of month of a year. So we know that there are 12 months in a year. So the set of months of here is finite set Because it has 12 elements. So here we can say it is a finite say. So it is a answer for part 1st. Now he sold part 2nd That is given one to cuomo three and so on. So here you can see that set of natural level is and equal to 12 three, four and so on. And it is a infinite set. So here one comma two comma three is an infinite sets as it has infinite numbers of natural numbers. So it is a in finite say. So it is our answer. Now we sold part third. So here you can see that roster form is given 12 three and so on 99 chroma 100. So you can see that in the side we have all the natural number 1 200. So here we can say it is a finite set, so it is over final answer, Part four. The set of positive integer greater than 100. So here you can see that the set of positive integers gather than 100 is an In finite sets because positive integers greater than 100 are infinite in number. So here we can say it is a in finite say. Now we saw part 50, the set of prime numbers less than 99. So here the set of Prime numbers less than 99 is a finite set because prime numbers less than 99 are finite in numbers, so it is over answer finite said.

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