Ex 1.4, 9 - Chapter 1 Class 11 Sets

Transcript

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