prove it is a dedekind cuts.

Answered Same DayDec 21, 2021

Answer To: prove it is a dedekind cuts.

David answered on Dec 21 2021

121 Votes

You can see like the following:
As we have a3 < X and b3 ≥ X. This gives
a−1 > X
−1
3 and b ≥ X 13
Hence
a−1b > X
−1
3 .X
1
3 = 1
Hence we must have
b
a
> 1
which in turn gives
b > a
this proves the result.
In the previous solution, I directly wrote that a2 + b2 + ab > 0 whenever...

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prove it is a dedekind cuts.

Answer To: prove it is a dedekind cuts.

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