Q

# 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 ∩ B  (ii) A ∩ C  (iii) A ∩ D  (iv) B ∩ C  (v) B ∩ D  (vi) C ∩ D

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

Views

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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