1.

If A = {3, 5, 7, 9, 11}, B ={7, 9, 11,13}, C = {11, 13, 15} and D = {15, 17}; find (i) A ∩ B (ii) B ∩ C (iii) A ∩ C ∩ D (iv) A ∩ C (v) B ∩ D (vi) A ∩ (B ∪ C) (vii) A ∩ D (vii) A ∩ (B ∪ D)(ix) (A ∩ B) ∩ (B ∪ C)(x) (A ∪ D) ∩ (B ∪ C).

Answer»

(i) A∩B = {7,9,11} 

(ii) B∩C = {11,13} 

(iii) A∩C∩D = φ 

(iv) A∩C ={11} 

(v) B∩D ={ } =φ 

(vi ) A ∩ {B ∪ C) = {3, 5, 7,9,11}∩{7,9,11,13,15}={7,9,11} A∩D = φ 

(viii) A∩(B∪D) = {3,5,7,9,11} ∩ {7,9,11,13,15,17} = {7,9,11} 

(A∩B)∩(B∪C) = {7,9,11}∩{7,9,11,13,15}= {7,9,11} 

(A∪D)∩(B∪C) = {3,5,7,9,11,15,17} ∩ {7,9,11,13,15}. 

= {7,9,11,15}



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