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x/|x|<x. which of the following must be true about x ?

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Re: x/|x|<x. which of the following must be true about x ? [#permalink] New post 02 Jun 2014, 20:11
Buneul, you are saying that x>-1, suppose we substitute 0 in the inequality we get 0<0. How is this true????
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Re: x/|x|<x. which of the following must be true about x ? [#permalink] New post 03 Jun 2014, 00:18
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madn800 wrote:
Buneul, you are saying that x>-1, suppose we substitute 0 in the inequality we get 0<0. How is this true????


First of all please read the whole thread. For example, check the following posts:
x-x-x-which-of-the-following-must-be-true-about-x-13943-40.html#p772618
x-x-x-which-of-the-following-must-be-true-about-x-13943-40.html#p773277
x-x-x-which-of-the-following-must-be-true-about-x-13943-40.html#p807569

x=0 does not satisfy x/|x| < x, so x cannot be 0.

x/|x| < x, means that -1<x<0 or x>1. ANY x from these ranges will be greater than -1.
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Re: x/|x|<x. which of the following must be true about x ?   [#permalink] 03 Jun 2014, 00:18

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x/|x|<x. which of the following must be true about x ?

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