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superfloyd
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Homework Statement
let a and b be rational numbers
if a>b>0
show that there exists a natural number n, which can be considered rational as well, st
nb>a
Homework Equations
The Attempt at a Solution
I was trying using the peano theorem of natural numbers
define set of natural numbers st n E S.
Assume n =1
(1)b = b
we know that b <a. hence 1 E N.
Assume n E n. then n' E n
n'b >a
(n+1)b
bn +b
b(1) + b
2b
I am kinda confused need some help in this thanks very much