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#1 Re: Help Me ! » The real numbers - Proof » 2012-08-17 19:24:05

Yes in fact i am supposed to prove the inequality for all real numbers x>=1

#2 Re: Help Me ! » The real numbers - Proof » 2012-08-17 19:18:27

Hi bobbym,

No i am supposed to prove x>=1. I cannot understand how to do it.

#3 Help Me ! » The real numbers - Proof » 2012-08-17 19:10:36

Shahana
Replies: 21

Prove that for all real numbers x>=1,

3|x-2|/x <= 4

My attempt:

I took the |x-2| to be (x-2). I think this is where i am making a mistake, regarding the modulus sigh.

3(x-2)/x <= 4

3(x-2) <= 4x

3x - 6 <= 4x

3x - 4x - 6 <= 0

-x - 6 <= 0

x >= -6

Please help me!
Thank you.

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