Q7. If A = {x : x is a natural number }, B = {x : x is an even natural number} C = {x : x is an odd natural number} and D = {x : x is a prime number }, find

(i) A \cap B 

(ii) A \cap C 

(iii) A \cap D 

(iv) B \cap C 

(v) B \cap D 

(vi) C \cap D

Answers (1)

Here, A = {1,2,3,4,5,6...........}

          B = {2,4,6,8,10...........}

         C = {1,3,5,7,9,11,...........}

         D = {2,3,5,7,11,13,17,......}

(i) A \cap B = {2,4,6,8,10........} = B

(ii) A \cap C = {1,3,5,7,9.........} = C

(iii) A \cap D  = {2,3,5,7,11,13.............} = D

(iv) B \cap C  = \phi

(v) B \cap D  = {2}

(vi) C \cap D = {3,5,7,11,13,..........} = \left ( x:x \, is\, \, odd\, \, \, prime \, \, number \right )

 

 

 

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