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Ex 1.4, 1 (ii)
Ex 1.4, 1 (iii)
Ex 1.4, 1 (iv) Important
Ex 1.4, 1 (v)
Ex 1.4, 2
Ex 1.4, 3 Important
Ex 1.4, 4 Important
Ex 1.4, 5 Important
Ex 1.4, 6 You are here
Ex 1.4, 7
Ex 1.4, 8 (i)
Ex 1.4, 8 (ii) Important
Ex 1.4, 8 (iii)
Ex 1.4, 9 Important Deleted for CBSE Board 2022 Exams
Ex 1.4, 10 (i) Deleted for CBSE Board 2022 Exams
Ex 1.4,10 (ii) Deleted for CBSE Board 2022 Exams
Ex 1.4, 10 (iii)
Ex 1.4, 11 Deleted for CBSE Board 2022 Exams
Ex 1.4, 12 Important
Last updated at Jan. 27, 2020 by Teachoo
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