2. Let A:{x:x is a natural number} B:{x:x is an even natural number) and C:{x:x is a prime number} Find (i) A - B (ii) C - A
Answers
Step-by-step explanation:
Answer:
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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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}