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Last updated at Jan. 27, 2020 by Teachoo

Transcript

Ex 1.2, 2 Which of the following sets are finite or infinite (i) The set of months of a year The months of a year are January, February, March, April, May, June, July, August, September, October, November, December. There are 12 months in a year, so the set has 12 elements. Therefore, the set is finite. Ex 1.2, 2 Which of the following sets are finite or infinite (ii) {1, 2, 3 ... } This set has no end value. So, it has infinite number of elements ∴ The set is infinite. Ex 1.2, 2 Which of the following sets are finite or infinite (iii) {1, 2, 3 ... 99, 100} The set has an end value (100). So, the number of elements of the set can be counted. ∴ The set is finite. Ex 1.2, 2 Which of the following sets are finite or infinite (iv) The sets of positive integers greater than 100 Positive integers greater than 100 = {101, 102, 103,………} There is no end value for this sets. ∴ The set is infinite Ex 1.2, 2 Which of the following sets are finite or infinite (v) The set of prime numbers less than 99 Prime numbers less than 99 are finite in number (countable). Therefore, the set is finite.

Chapter 1 Class 11 Sets

Concept wise

- Depiction and Definition
- Depicition of sets - Roster form
- Depicition of sets - Set builder form
- Intervals
- Null Set
- Finite/Infinite
- Equal sets
- Subset
- Power Set
- Universal Set
- Venn Diagram and Union of Set
- Intersection of Sets
- Difference of sets
- Complement of set
- Number of elements in set - 2 sets (Direct)
- Number of elements in set - 2 sets - (Using properties)
- Number of elements in set - 3 sets
- Proof - Using properties of sets
- Proof - where properties of sets cant be applied,using element

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.