Ex 1.4, 7 - If A = {x: x is a natural number}, B = {x: x is

Ex 1.4, 7 - Chapter 1 Class 11 Sets - Part 2
Ex 1.4, 7 - Chapter 1 Class 11 Sets - Part 3

Ex 1.4, 7 - Chapter 1 Class 11 Sets - Part 4

Ex 1.4, 7 - Chapter 1 Class 11 Sets - Part 5 Ex 1.4, 7 - Chapter 1 Class 11 Sets - Part 6

Ex 1.4, 7 - Chapter 1 Class 11 Sets - Part 7 Ex 1.4, 7 - Chapter 1 Class 11 Sets - Part 8

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Ex 1.4, 7 If A = {x: x is a natural number}, B ={x: x is an even natural number}, C = {x: x is an odd natural number} and D = {x: x is a prime number}, Find First, let’s write all the sets in roster form A = {x: x is a natural number} = {1, 2, 3, 4, 5 …} B = {x: x is an even natural number} = {2, 4, 6, 8 …} C = {x: x is an odd natural number} = {1, 3, 5, 7, 9 …} D = {x: x is a prime number} = {2, 3, 5, 7 …} Ex 1.4, 7 (i) A ∩ B A = {1, 2, 3, 4, 5 …} B = {2, 4, 6, 8 …} C = {1, 3, 5, 7, 9 …} D = {2, 3, 5, 7 , 11,13 …} A ∩ B = {1, 2, 3, 4, 5 …} ∩ {2, 4, 6, 8 …} = {2, 4, 6, 8, ..} = B Ex 1.4, 7 (ii) A ∩ C A = {1, 2, 3, 4, 5 …} B = {2, 4, 6, 8 …} C = {1, 3, 5, 7, 9 …} D = {2, 3, 5, 7 , 11,13 …} A ∩ C = {1, 2, 3, 4, 5 …} ∩ {1, 3, 5, 7, 9 …} = {1, 3, 5, 7, 9,…} = C Ex 1.4, 7 (iii) A ∩ D A = {1, 2, 3, 4, 5 …} B = {2, 4, 6, 8 …} C = {1, 3, 5, 7, 9 …} D = {2, 3, 5, 7 , 11,13 …} A ∩ D = {1, 2, 3, 4, 5 …} ∩ {2, 3, 5, 7 …} = {2, 3, 5, 7,…} = D Ex 1.4, 7 (iv) B ∩ C A = {1, 2, 3, 4, 5 …} B = {2, 4, 6, 8 …} C = {1, 3, 5, 7, 9 …} D = {2, 3, 5, 7 , 11,13 …} B ∩ C = {2, 4, 6, 8 …} ∩ {1, 3, 5, 7, 9 …} = { } = ∅ Ex 1.4, 7 (v) B ∩ D A = {1, 2, 3, 4, 5 …} B = {2, 4, 6, 8 …} C = {1, 3, 5, 7, 9 …} D = {2, 3, 5, 7 , 11,13 …} B ∩ D = {2, 4, 6, 8 …} ∩ {2, 3, 5, 7, …} = {2} Ex 1.4, 7 (vi) C ∩ D A = {1, 2, 3, 4, 5 …} B = {2, 4, 6, 8 …} C = {1, 3, 5, 7, 9 …} D = {2, 3, 5, 7 , 11,13 …} C ∩ D = {1, 3, 5, 7, 9 …} ∩ {2, 3, 5, 7 …} = {3, 5, 7, 11, 13, 17, 19…} = {x: x is odd prime number} Prime number = 2, 3, 5, 7, 11, 13,…. Odd prime number = 3, 5, 7, 11, 13,….

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo