Last updated at May 29, 2018 by Teachoo

Transcript

Ex 1.2,4 In the following, state whether A = B or not: (i) A = {a, b, c, d}; B = {d, c, b, a} Element of Set A = a, b, c, d Element of Set B = a, b, c, d Each element of A is the same as each element of B, A = B Ex 1.2,4 In the following, state whether A = B or not: (ii) A = {4, 8, 12, 16}; B = {8, 4, 16, 18} Element of Set A = 4, 8, 12, 16 Element of Set B = 8, 4, 16, 18 Here, 12 is in set A but not in set B. i.e. 12 A but 12 B. A B Ex 1.2,4 In the following, state whether A = B or not: (iii) A = {2, 4, 6, 8, 10}; B = {x: x is positive even integer and x 10} A = {2, 4, 6, 8, 10} B = {x: x is a positive even integer and x 10} Positive integers = 1,2,3,4,5,6,7,8,9,10,11,12 . Positive even integers = 2,4,6,8,10,12,14, Positive even integers less than equal to 10 = 2,4,6,8,10 Hence, B= {2, 4, 6, 8, 10} Element of Set A = 2, 4, 6, 8, 10 Element of Set B = 2, 4, 6, 8, 10 Since all elements of set A & set B are same A = B Ex 1.2,4 In the following, state whether A = B or not: (iv) A = {x: x is a multiple of 10}; B = {10, 15, 20, 25, 30 ...} B = {10, 15, 20, 25, 30 } A = {x: x is a multiple of 10} Multiple of 10 are 10 x (1,2,3,4, ) = 10,20,30,40,50 A = {10,20,30,40,50, } Element of Set A = 10, 20, 30, 40, Element of Set B = 10, 15 , 20, 25, Here, 15 is in set B but not in set A i.e. 15 B but 15 A. A B

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.