Given an irrational number 0 < i < 1 ,. Find two rational numbers a...

fythynwyrk0

fythynwyrk0

Answered

2022-07-01

Given an irrational number 0 < i < 1 ,. Find two rational numbers a and b such that 0 < a < i < b < 1.

Answer & Explanation

Amir Beck

Amir Beck

Expert

2022-07-02Added 13 answers

Since 0 < i < 1 ,, then there exists some least positive integer n such that
1 n < i < 1 1 n .
To see why, apply the Archimedean property to
1 min ( i , 1 i ) .

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