NCERT Class XI Mathematics - Sets - Solutions
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Question : 8
Total: 73
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
(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
Solution:
(i) The set of months of a year is finite set because there are 12 months in a year.
(ii) {1, 2, 3, ...} is an infinite set because there are infinite elements in the set.
(iii) {1, 2, 3, ..., 99, 100} is a finite set because the set contains finite number of elements.
(iv) The set of positive integers greater than 100 is an infinite set because there are infinite number of positive integers greater than 100.
(v) The set of prime numbers less than 99 is a finite set because the set contains finite number of elements.
(ii) {1, 2, 3, ...} is an infinite set because there are infinite elements in the set.
(iii) {1, 2, 3, ..., 99, 100} is a finite set because the set contains finite number of elements.
(iv) The set of positive integers greater than 100 is an infinite set because there are infinite number of positive integers greater than 100.
(v) The set of prime numbers less than 99 is a finite set because the set contains finite number of elements.
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