C = {x : x is a natural number and 3x – 4 < 6}
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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
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Answer:
Given 3x−4<6
Adding 4 on both sides
3x−4+4<6+4
3x<10
Dividing by 3
3x/3 < 10/3
x < 10/3
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