If A = {x:x is a natural number} B={x:x
is an odd natural numbers, c{x:x is a prime numbers}, find AΠB,AΠC,AΠD,BΠC,BΠD,CΠD
Answers
Step-by-step explanation:
given that:- A = ( 1,2,3,4,5,6.........)
B = ( 1,3,5,6......)
C = (2,3,5,7,11....) and D = ( )
AnB = ( 1, 3,5...)
OR
AnB = (x:x is an odd natural numbers)
AnC =( 2,3,5,7,11.....)
OR
AnC = ( x:x is a prime numbers)
AnD = ( )
BnC = ( 3,5,7 ....)
OR
BnC = ( x:x is odd prime numbers)
BnD= ( )
CnD = ( )
dear , you did not write the element of D
so,i let D as a null set .
hope it help you
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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}