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(a) If A = {p, q, r, s), B = (s, t, u) and C = (s, t, u, v, w}Find (i) A ∪ (B ∪ C) (ii) (A ∪ B) ∪ C (iii) A ∩ (B ∩ C) (iv) (A ∩ B) ∩ C(b) If A = {1, 4, 9, 16}, B = {3, 4, 5} and C = {3, 9, 12}Verify (i) A ∪ (B ∪ C) = (A ∪ B) ∪ C (ii) A ∩ (B ∩ C) = (A ∩ B) ∩ C(c) If A = {5, 7, 9}, B = {7, 9, 11} and C = {9, 11}Verify (i) A ∪ (B ∪ C) = (A ∪ B) ∪ (A ∪ C), (ii) A ∩ (B ∩ C) = (A ∩ B) ∩ (A ∩ C)

Answer»

(a) If A = {p, q, r, s), B = (s, t, u) and C = (s, t, u, v, w}



Find (i) A (B C) (ii) (A B) C (iii) A (B C) (iv) (A B) C



(b) If A = {1, 4, 9, 16}, B = {3, 4, 5} and C = {3, 9, 12}



Verify (i) A (B C) = (A B) C (ii) A (B C) = (A B) C



(c) If A = {5, 7, 9}, B = {7, 9, 11} and C = {9, 11}



Verify (i) A (B C) = (A B) (A C), (ii) A (B C) = (A B) (A C)



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