Last updated at May 29, 2018 by Teachoo

Transcript

Ex 1.1,6 Match each of the set on the left in the roster form with the same set on the right described in set-builder form: (i) {1, 2, 3, 6} (a) {x : x is a prime number and a divisor of 6} (ii) {2, 3} (b) {x : x is an odd natural number less than 10} (iii) {M,A,T,H,E,I,C,S} (c) {x : x is natural number and divisor of 6} (iv) {1, 3, 5, 7, 9} (d) {x : x is a letter of the word MATHEMATICS}. {x : x is a prime number and a divisor of 6} 6 = 6 × 1 6 = 3 × 2 1,2,3,6 are divisors of 6 , out of which 2,3 are prime So, (ii) matches (a) (i) {1, 2, 3, 6} (a) {x : x is a prime number and a divisor of 6} (ii) {2, 3} (b) {x : x is an odd natural number less than 10} (iii) {M,A,T,H,E,I,C,S} (c) {x : x is natural number and divisor of 6} (iv) {1, 3, 5, 7, 9} (d) {x : x is a letter of the word MATHEMATICS}. {x : x is an odd natural number less than 10} Natural numbers are 1,2,3,4,5,6,7,8,… Odd Natural numbers are 1,3,5,7,9,11,13 Odd natural numbers less than 10 are 1,3,5,7,9 Hence (iv) matches (b) {x : x is a natural number and a divisor of 6} 6 = 6 × 1 6 = 3 × 2 1,2,3,6 are divisors of 6 , So, (i) matches (c) {x : x is a letter of the word MATHEMATICS}. There are 8 letters of the word MATHEMATICS and 3 letters M,A and T are repeated, So (iii) matches (d).

Depicition of sets - Set builder form

Chapter 1 Class 11 Sets

Concept wise

- Depiction and Defination
- 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

About the Author

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.