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Problem B-7 Also please explain what those small letters mean

Problem B-7
 
Also please explain what those small letters mean

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Grade:12th pass

2 Answers

Arun
25750 Points
4 years ago
bN = set of positive multiples of b
cN = set of positive multiples of c
 
bN intersection cN = set of positive multiples of bc
(since, b and c are prime)
 
It is given that:
bN intersection cN = dN = set of positive multiples of d
 
Therefore, bc = d
Vikas TU
14149 Points
4 years ago
Hiii 
Assume N = {1,2,3...........}
dN=bN∩cN={n∈N:b∣n,c∣n}
n∈N :lcm(b,c)∣n}
n∈N bc∣n} since lcm(b,c). gcd(b,c) = bc
= bc N 
so, bc = d will be the correct ans.
={n∈N:lcm(b,c)∣n}
={n∈N:lcm(b,c)∣n}={n∈N:lcm(b,c)∣n}

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