Manhattan Q

saurabh_1922@yahoo.co.in · Posted: Thu Sep 20, 2007 8:37 pm Post subject: Manhattan Q

If x is not equal to 0, is |x| less than 1?

(1) x/|x|< x

(2) |x| > x

samirpandeyit62 · Posted: Fri Sep 21, 2007 1:38 am Post subject:

stmt 1: x/|x|< x

say x =-5 then we have here -1 < -5 (not valid)

say x= -1 then -1 < -1 (not valid)

sat x = 0.99 the we have here 1 < 0.99 (again not valid)

now if x= 1 then 1 < 1 (not valid)

so x needs to be greater than 1 ie.e 2 ...

if x=2 then 1<2 (valid)
i.e |2| =2 & so on

so SUFF

(2) |x| > x

this is possible only when x is -ve coz for all +ve values of x
|x| = x

hence x is less than 0 (-ve)
so SUFF (|x| is less than 1 )

so ans should be D

gabriel · Posted: Fri Sep 21, 2007 3:43 am Post subject: Re: Manhattan Q

samirpandeyit62 · Posted: Fri Sep 21, 2007 4:07 am Post subject:

Thanks Gabreil for correcting, did this one a little hastily (plus some good work load) forgot to evaluate the range between 0 & -1 (which is IMO a danger zone in all abs val questions), thanks buddy for pointing out, I really expect this from u Smile

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