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Data Sufficiency (DS) | Re: If x is not equal to 0, is |x| less than 1? (1) x/|x|< x

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cgarmestani wrote:

For (1), wouldn't x<0 give you:

-x/x < -x
-1 < -x
1 > x?

When I plug in numbers for that, it doesn't work, but I don't see how we get x/-x < x when plugging in x<0?


Bunuel wrote:
Hussain15 wrote:
If x is not equal to 0, is |x| less than 1?

(1) x/|x|< x

(2) |x| > x

Will really appreciate if answer is supported by explanation.


\(x\neq{0}\) , is\(|x|<1\) ? Which means is\(-1<x<1\) ? (\(x\neq{0}\)

(1)\(\frac{x}{|x|}< x\)
Two cases:
A.\(x<0\) -->\(\frac{x}{-x}<x\) -->\(-1<x\) . But remember that\(x<0\) , so\( -1<x<0\)
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