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Kikakika1996
@Kikakika1996
April 2019
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slt a tous je veux la demonsstttration de ceeettttte valeur absolue merci d'avancccce ||x|-|y|| < |x-y|
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slyz007
Verified answer
On suppose x>y.
On note z=x-y
donc x=z+y
IxI=Iy+zI
On sait que Iy+zI≤IyI+IzI
Donc IxI≤IyI+IzI
⇔IxI-IyI≤IzI
⇔IxI-IyI≤Ix-yI
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kikakika1996
June 2021 | 0 Respostas
aidez moi svp... merci d'avance ;)
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Kikakika1996
April 2019 | 0 Respostas
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Kikakika1996
April 2019 | 0 Respostas
Je veux cette demonstration : si la valeur absolue de x : |x|< a ---> -a < x < a
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Verified answer
On suppose x>y.On note z=x-y
donc x=z+y
IxI=Iy+zI
On sait que Iy+zI≤IyI+IzI
Donc IxI≤IyI+IzI
⇔IxI-IyI≤IzI
⇔IxI-IyI≤Ix-yI