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# Basic Mod Inequality Concept.

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Joined: 08 Oct 2004
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Basic Mod Inequality Concept. [#permalink]  09 Mar 2005, 13:39
Please could someone explain to me

X< [X]

[X] means ( Mod X)

Why does this mean X is negative.

I am struggling with this.
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GMAT Club Legend
Joined: 15 Dec 2003
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X has to be negative because mod X or abs. val. of X is always positive. Therefore, for X to be less than its abs. val., it has to have a negative value.

Let's take example of X= -1
-1 < l-1l
-1 < 1 --> ok

Let's take an example that won't work; when X= 1, positive
1 < l1l
1 < 1 --> wrong!
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Paul

Manager
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Kudos [?]: 10 [0], given: 0

Oh I see where I went wrong.

Thanks
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