L’ordre et la multiplication

L’ordre dans IR L’ordre et la multiplication

Niveau de cet exercice :

Énoncé

Soient et deux réels tel que .

1- Comparer et

2- Comparer et

Correction

1-

alors

donc

2-

alors

donc

Niveau de cet exercice :

Énoncé

Comparer et

Correction

On a alors

alors

donc

Niveau de cet exercice :

Énoncé

et trois réels strictement positifs tel que .

Montrer que

Correction

et alors alors donc (*)

et puisque et sont strictement positifs alors (**).

d’après (*) et (**) on en déduit que

donc

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