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# Just wanted to know the sufficiency condition for a modulus

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Manager
Joined: 14 Mar 2007
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Just wanted to know the sufficiency condition for a modulus [#permalink]  19 Jul 2007, 09:36
Just wanted to know the sufficiency condition for a modulus expression to be true.

Is mainly tested in data sufficiency questions.

e.g. Is |x| > 1 ?
In such a case do we need to prove both that (i) when x>0 --> x>1 and (ii) when x<0> x<1>1 OR/AND (ii) x<-1 for proving suffficiency. ??

Thanks a lot for providing clarity
Director
Joined: 26 Feb 2006
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Re: Sufficiency condition for a modulus [#permalink]  19 Jul 2007, 13:13
[quote="ajay_gmat"]Just wanted to know the sufficiency condition for a modulus expression to be true.

Is mainly tested in data sufficiency questions.

e.g. Is |x| > 1 ?
In such a case do we need to prove both that (i) when x>0 --> x>1 and (ii) when x<0> x<1>1 OR/AND (ii) x<1> 1:
Is |x| > 1? yes.

(b) 1>= x >= -1:
Is |x| > 1? no.

(c) x <1> 1? yes.
Director
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Re: Sufficiency condition for a modulus [#permalink]  19 Jul 2007, 13:24
This site is crazy. I posted the following on the above post but posted partially (as above):

Quote:
three conditions when:

(a) x > 1:
Is |x| > 1? yes.

(b) 1>= x >= -1:
Is |x| > 1? no.

(c) x <1> 1? yes.
Manager
Joined: 14 Mar 2007
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Hi Himalayan,

Thanks for posting the reply.. What i meant was that for proving the modules do we need to have both the condition as true or proving any of the condition as true would help us take that as the answer.

i.e. For |X| > 1

Do we need to prove both that (i) x > 1 (x>0) and (ii) x < -1 (X<0> 1 ..

Hope this clarifies, Thanks
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