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InterviewSolution
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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 |
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Answer» `(i)` The set of months of a year - As number of months is always 12, so it will be a final set. `(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. |
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