Sets
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 A intersection B, A intersection C,
A intersection D, B intersection C,
B intersection D,C intersection D
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A={1,2,3,4,5....}
B={2,4,6,8,10....}
C={1,3,5,7,9....}
D={2,3,5,7,9...}
(A intersection B)={2,4,6,8,10....}
(A intersection C)={1,3,5,7,9...}
(A intersection D)={2,3,5,7,9...}
(B intersection C)=0
(B intersection D)={2}
C intersection D={3,5,7,9...}
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Answer:
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Explanation:
A={x:xis a natural number}={1,2,3,4,5.....}
B={x:x is an even natural number}={2,4,6,8.....}
C={x:x is an odd natural number}={1,3,5,7,9.......}
D={x:xis a prime number}={2,3,5,7....}
(i) A∩B={x:x is a even natural number}=B
(ii) A∩C={x:x is an odd natural number}=C
(iii) A∩D={x:x is a prime number}=D
(iv) B∩C=ϕ
(v) B∩D={2}
(vi) C∩D={x:xis odd prime number}
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