Last updated at Dec. 8, 2016 by Teachoo

Transcript

Ex 1.1,4 Write the following sets in the set-builder form: (i){3, 6, 9, 12} 3 = 3 1 6 = 3 2 9 = 3 3 12 = 3 4 {x: x = 3n, n N and 1 n 4} Ex 1.1,4 Write the following sets in the set-builder form: (ii) {2, 4, 8, 16, 32} {2, 4, 8, 16, 32} = {21, 22, 23, 24 , 25} Hence, we may write the set as {x: x = 2n, n N and 1 n 5} Ex 1.1,4 Write the following sets in the set-builder form: (iii) {5, 25, 125, 625} {5, 25, 125, 625} = {51, 52, 53, 54} Hence, we may write the set as {x: x = 5n, n N and 1 n 4} Ex 1.1,4 Write the following sets in the set-builder form: (iv) {2, 4, 6 } Natural numbers = 1,2,3,4,5,6, Even Natural numbers = 2,4,6,8, . It is a set of all even natural numbers. {2, 4, 6 } = {x : x is an even natural number} Ex 1.1,4 Write the following sets in the set-builder form: (v) {1,4,9, .100} {1, 4, 9, 16, 25, . . . ,100} = {12, 22, 32, 42, 52, . . . .102} Hence, we may write the set A as A = {x : x is the square of natural numbers less than or equal to 10} or A = { x : x = n2, n N, 1 n 10 }

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.