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Ex 1.4, 9 - If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12

Ex 1.4, 9 - Chapter 1 Class 11 Sets - Part 2
Ex 1.4, 9 - Chapter 1 Class 11 Sets - Part 3 Ex 1.4, 9 - Chapter 1 Class 11 Sets - Part 4 Ex 1.4, 9 - Chapter 1 Class 11 Sets - Part 5 Ex 1.4, 9 - Chapter 1 Class 11 Sets - Part 6

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Ex 1.4, 9 - Chapter 1 Class 11 Sets - Part 7 Ex 1.4, 9 - Chapter 1 Class 11 Sets - Part 8 Ex 1.4, 9 - Chapter 1 Class 11 Sets - Part 9 Ex 1.4, 9 - Chapter 1 Class 11 Sets - Part 10 Ex 1.4, 9 - Chapter 1 Class 11 Sets - Part 11 Ex 1.4, 9 - Chapter 1 Class 11 Sets - Part 12

 

 

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Ex 1.4, 9 If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find (i) A – B A – B = A – (A ∩ B) A ∩ B = {3, 6, 9, 12, 15, 18, 21} ∩ {4, 8, 12, 16, 20} = { 12} A – B = A – (A ∩ B) = {3, 6, 9, 12, 15, 18, 21} – { 12} = {3, 6, 9, 15, 18, 21} A – B = A – (A ∩ B) ∩ Intersection – Common of two sets Ex 1.4, 9 If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find (ii) A – C A – C = A – (A ∩ C) A ∩ C = {3, 6, 9, 12, 15, 18, 21} ∩ {2, 4, 6, 8, 10, 12, 14, 16} = {6, 12} A – C = A – (A ∩ C) = {3, 6, 9, 12, 15, 18, 21} – { 6, 12} = {3, 9, 15, 18, 21} A – B = A – (A ∩ B) ∩ Intersection – Common of two sets Ex 1.4, 9 If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find (iii) A – D A – D = A – (A ∩ D) A ∩ D = {3, 6, 9, 12, 15, 18, 21} ∩ {5, 10, 15, 20} = {15} A – D = A – (A ∩ D) = {3, 6, 9, 12, 15, 18, 21} – { 15} = {3, 6, 9, 12, 18, 21} A – B = A – (A ∩ B) ∩ Intersection – Common of two sets Ex 1.4, 9 If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find (iv) B – A B – A = B – (B ∩ A) B ∩ A = {4, 8, 12, 16, 20} ∩ {3, 6, 9, 12, 15, 18, 21} = {12} B – A = B – (B ∩ A) = {4, 8, 12, 16, 20} – {12} = {4, 8, 16, 20} A – B = A – (A ∩ B) ∩ Intersection – Common of two sets Ex 1.4, 9 If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find (v) C – A C – A = C – (C ∩ A) C ∩ A = {2, 4, 6, 8, 10, 12, 14, 16} ∩ {3, 6, 9, 12, 15, 18, 21} = {6,12} C – A = C – (C ∩ A) = {2, 4, 6, 8, 10, 12, 14, 16} – {6, 12} = {2, 4, 8, 10, 14, 16} A – B = A – (A ∩ B) ∩ Intersection – Common of two sets Ex 1.4, 9 If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find (vi) D – A D – A = D – (D ∩ A) D ∩ A = {5, 10, 15, 20} ∩ {3, 6, 9, 12, 15, 18, 21} = {15} D – A = D – (D ∩ A) = {5, 10, 15, 20} – {15} = {5, 10, 20} A – B = A – (A ∩ B) ∩ Intersection – Common of two sets Ex 1.4, 9 If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find (vii) B – C B – C = B – (B ∩ C) B ∩ C = {4, 8, 12, 16, 20} ∩ {2, 4, 6, 8, 10, 12, 14, 16} = {4, 8, 12, 16} B – C = B – (B ∩ C) = {4, 8, 12, 16, 20} – {4, 8, 12, 16} = {20} A – B = A – (A ∩ B) ∩ Intersection – Common of two sets Ex 1.4, 9 If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find (viii) B – D B – D = B – (B ∩ D) B ∩ D = {4, 8, 12, 16, 20} ∩ {5, 10, 15, 20} = {20} B – D = B – (B ∩ D) = {4, 8, 12, 16, 20} – {20} = {4, 8, 12, 16} A – B = A – (A ∩ B) ∩ Intersection – Common of two sets Ex 1.4, 9 If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find (ix) C – B C – B = C – (C ∩ B) C ∩ B = {2, 4, 6, 8, 10, 12, 14, 16} ∩ {4, 8, 12, 16, 20} = {4,8,12,16} C – B = C – (C ∩ B) = {2, 4, 6, 8, 10, 12, 14, 16} – {4,8,12,16} = {2, 6, 10, 14} A – B = A – (A ∩ B) ∩ Intersection – Common of two sets Ex 1.4, 9 If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find (x) D – B D – B = D – (D ∩ B) D ∩ B = {5, 10, 15, 20} ∩ {4, 8, 12, 16, 20} = {20} D – B = D – (D ∩ B) = {5, 10, 15, 20} – {20} = {5, 10, 15} A – B = A – (A ∩ B) ∩ Intersection – Common of two sets Ex 1.4, 9 If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find (xi) C – D C – D = C – (C ∩ D) C ∩ D = {2, 4, 6, 8, 10, 12, 14, 16} ∩ {5, 10, 15, 20} = {10} C – D = C – (C ∩ D) = {2, 4, 6, 8, 10, 12, 14, 16} – {10} = {2, 4, 6, 8, 12, 14, 16} A – B = A – (A ∩ B) ∩ Intersection – Common of two sets Ex 1.4, 9 If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find (xii) D – C D – C = D – (D ∩ C) D ∩ C = {5, 10, 15, 20} ∩ {2, 4, 6, 8, 10, 12, 14, 16} = {10} D – C = D – (D ∩ C) = {5, 10, 15, 20} – {10} = {5, 15, 20} A – B = A – (A ∩ B) ∩ 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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.