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Mathematics 15 Online
mathslover (mathslover):

hi help in basic arithmetic algebra

mathslover (mathslover):

OpenStudy (lgbasallote):

lol nice intro ;)

mathslover (mathslover):

:).... can u help @lgbasallote

OpenStudy (anonymous):

You need to post your question in order for people to answer it.

mathslover (mathslover):

i had posted the image @Wired ... see it

OpenStudy (lgbasallote):

@mathslover

OpenStudy (kinggeorge):

How far have you gotten on your own?

mathslover (mathslover):

nice reply @lgbasallote .....this means that you can not help me ....

OpenStudy (anonymous):

cual es la pregunta ¿

OpenStudy (lgbasallote):

yeah.. im not knowledgeable in basic arithmetic algebra :(

OpenStudy (anonymous):

The image just popped up.

mathslover (mathslover):

i think this can be proved like this : If x > 1 then we can say that 1.x > 1 ... So n = 1 and i think it is done but i think this is not a proper way

mathslover (mathslover):

@KingGeorge ...

OpenStudy (kinggeorge):

That proves it if \(x\ge1\). We also need to consider the case where \(0<x<1\).

mathslover (mathslover):

we can apply the archimedean property to number 1/x ...

OpenStudy (kinggeorge):

By definition, there exists some \(x^{-1}>0\) (i.e \(\frac{1}{x}\)) such that \[x\cdot x^{-1}=1\]Now, take \(n\in\mathbb{N}\) such that \(n>x^{-1}\). This means that \[x\cdot n>x\cdot x^{-1}=1\]Thus, \(x\cdot n>1\).

mathslover (mathslover):

ok thanks a lot...

OpenStudy (kinggeorge):

You're welcome.

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