Check sibling questions

Ex 1.4, 6 - If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13} - Ex 1.4

Ex 1.4, 6 - Chapter 1 Class 11 Sets - Part 2
Ex 1.4, 6 - Chapter 1 Class 11 Sets - Part 3
Ex 1.4, 6 - Chapter 1 Class 11 Sets - Part 4
Ex 1.4, 6 - Chapter 1 Class 11 Sets - Part 5
Ex 1.4, 6 - Chapter 1 Class 11 Sets - Part 6
Ex 1.4, 6 - Chapter 1 Class 11 Sets - Part 7

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Ex 1.4, 6 - Chapter 1 Class 11 Sets - Part 8

Ex 1.4, 6 - Chapter 1 Class 11 Sets - Part 9

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Ex 1.4, 6 - Chapter 1 Class 11 Sets - Part 10

Ex 1.4, 6 - Chapter 1 Class 11 Sets - Part 11
Ex 1.4, 6 - Chapter 1 Class 11 Sets - Part 12
Ex 1.4, 6 - Chapter 1 Class 11 Sets - Part 13
Ex 1.4, 6 - Chapter 1 Class 11 Sets - Part 14

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Ex 1.4, 6 - Chapter 1 Class 11 Sets - Part 15

 

 

 

 

 

 

 

 

 

 

Ex 1.4, 6 - Chapter 1 Class 11 Sets - Part 16

 

 

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Transcript

Ex 1.4, 6 If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find A ∩ B A ∩ B = {3, 5, 7, 9, 11} ∩ {7, 9, 11, 13} = {7, 9, 11} ∩ Intersection – Common of two sets Ex 1.4, 6 If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find (ii) B ∩ C B ∩ C = {7, 9, 11, 13} ∩ {11, 13, 15} = {11, 13} Ex 1.4, 6 If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find (iii) A ∩ C ∩ D A ∩ C ∩ D = (A ∩ C) ∩ D (A ∩ C) = {3, 5, 7, 9, 11} ∩ {11, 13 ,15} = {11} ∩ Intersection – Common of two sets A ∩ C ∩ D = (A ∩ C) ∩ D = {11} ∩ {15, 17} = { } = ∅ Ex 1.4, 6 If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find (iv) A ∩ C A ∩ C = {3, 5, 7, 9, 11} ∩ {11, 13, 15} = {11} ∩ Intersection – Common of two sets Ex 1.4, 6 If A = {3, 5, 7, 9, 11} B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find (v) B ∩ D B ∩ D = {7, 9, 11, 13} ∩ {15, 17} = { } = ∅ ∩ Intersection – Common of two sets Ex 1.4, 6 (Method 1) If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find (vi) A ∩ (B ∪ C) B ∪ C = {7, 9 , 11, 13} ∪ {11, 13 ,15} = { 7, 9, 11, 13, 15} A ∩ (B ∪ C) = {3, 5, 7, 9, 11} ∩ { 7,9,11,13,15} = {7, 9, 11} ∪ Union - Combination of two sets ∩ Intersection – Common of two sets Ex 1.4, 6 (Method 2) If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find (vi) A ∩ (B ∪ C) A ∩ (B ∪ C) = (A ∩ B) = {3, 5, 7, 9, 11} ∩ {7, 9 , 11, 13} = {7, 9, 11} (A ∩ C) = {3, 5, 7, 9, 11} ∩ {11, 13 ,15} = {11} ∪ Union - Combination of two sets ∩ Intersection – Common of two sets As 2 × (3 + 4) = 2 × 3 + 2 × 4 Now, A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) = {7, 9, 11} ∪ {11} = {7, 9, 11} Ex 1.4, 6 If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find (vii) A ∩ D A ∩ D = {3, 5, 7, 9, 11} ∩ {15, 17} = { } = ∅ ∩ Intersection – Common of two sets Ex 1.4, 6 (Method 1) If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find (viii) A ∩ (B ∪ D) B ∪ D = {7, 9 , 11, 13} ∪ {15 ,17} = {7, 9, 11, 13, 15, 17} A ∩ (B ∪ D) = {3, 5, 7, 9, 11} ∩ { 7, 9, 11, 13, 15, 17} = {7, 9, 11} ∪ Union - Combination of two sets ∩ Intersection – Common of two sets Ex 1.4, 6 (Method 2) If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find (viii) A ∩ (B ∪ D) A ∩ (B ∪ D) = (A ∩ B) ∪ (A ∩ D) A ∩ B = {3, 5, 7, 9, 11} ∩ {7, 9 , 11, 13} = {7, 9, 11} ∪ Union - Combination of two sets ∩ Intersection – Common of two sets As 2 × (3 + 4) = 2 × 3 + 2 × 4 A ∩ D = {3, 5, 7, 9, 11} ∩ {15 ,17} = { } = ∅ A ∩ (B ∪ D) = (A ∩ B) ∪ (A ∩ D) = {7, 9, 11} ∪ ∅ = {7, 9, 11} Ex 1.4, 6 If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find (ix) (A ∩ B) ∩ (B ∪ C) (A ∩ B) = {3, 5, 7, 9, 11} ∩ {7, 9 , 11, 13} = {7, 9, 11} (B ∪ C) = {7, 9 , 11, 13} ∪ {11, 13 ,15} = {7, 9, 11, 13, 15} (A ∩ B) ∩ (B ∪ C) = {7, 9, 11} ∩ {7, 9, 11, 13, 15} = {7, 9, 11} ∪ Union - Combination of two sets ∩ Intersection – Common of two sets Ex 1.4, 6 If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find (x) (A ∪ D) ∩ (B ∪ C) (A ∪ D) = {3, 5, 7, 9, 11} ∪ {15, 17} = {3, 5, 7, 9, 11, 15, 17} (B ∪ C) = {7, 9 , 11, 13} ∪ {11, 13 ,15} = {7, 9, 11, 13, 15} (A ∪ D) ∩ (B ∪ C) = {3, 5, 7, 9, 11, 15, 17} ∩ {7, 9, 11, 13, 15} = {7, 9, 11, 15} ∪ Union - Combination of two sets ∩ Intersection – Common of two sets

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.