Q6. If A = { 3, 5, 7, 9, 11 }, B = {7, 9, 11, 13}, C = {11, 13, 15}and D = {15, 17}; find

(i) A \cap B                     (ii) B \cap C   

(iii) A \capC \cap D            (iv) A \cap C 

(v) B \cap D                   (vi) A \cap (B \cup C) 

(vii) A \cap D                 (viii) A \cap (B \cup D) 

(ix) ( A \cap B ) \cap ( B \cup C )  (x) ( A \cup D) \cap ( B \cup C)

Answers (1)
S safeer

Here,  A = { 3, 5, 7, 9, 11 },  B = {7, 9, 11, 13},    C = {11, 13, 15}  and    D = {15, 17}

(i) A \cap B = {7,9,11}                                        (vi) A \cap (B \cup C)  = {7,9,11}

 (ii) B \cap C   =  { 11,13}                                    (vii) A \cap D = \phi

(iii) A \capC \cap D = \phi                                          (viii) A \cap (B \cup D) = {7,9,11}  

(iv) A \cap C   = { 11 }                                         (ix) ( A \cap B ) \cap ( B \cup C ) = {7,9,11}

(v) B \cap D  = \phi                                                (x) ( A \cup D) \cap ( B \cup C) =  {7,9,11,15}

 

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