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DS I have a doubt

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Source: — Data Sufficiency |
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by clock60 » Fri Jul 23, 2010 1:33 pm
here i got E
just now nothing more that plugging numbers

(1) m>n
m=2,n=1
|2-1|=1, |2|-|1|=2-1=1. yes
m=2, n=-1
|2+1|=3, |2|-|-1|=2-1=1. no
so 1 st insufficient

(2) m+n>0

m=2, n=1 yes
m=2, n=-1, no
again insufficient
from both m>0, but we uncertain about sign of n
so E
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by surajgarg » Sat Jul 24, 2010 12:24 am
Raffy wrote:|m-n|=|m|-|n|

1) m-n>0
2)m+n>0
Is the question - "Is |m-n|=|m|-|n|?" or something else?
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by outreach » Sat Jul 24, 2010 12:49 am
|m-n|=|m|-|n|

Squaring both the sides

m^2-2mn+n^2=m^2-2|m||n|+n^2
mn=|m||n| is the Q


1)
m>n
m=-2,n=-3 Q satisfied
m=2,n=-1 Q not satisfied

insuff

2)
m> -n
m=2,n=-1 Q not satisfied
m=2,n=1 Q satisfied
insuff


combined 1 and 2
insuff

E
Raffy wrote:|m-n|=|m|-|n|

1) m-n>0
2)m+n>0
-------------------------------------
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by clock60 » Sat Jul 24, 2010 3:49 am
hi outreach
honestly speaking i start to solve this problem like you did, but i began to hesitate about squaring
|m|-|n|-?
my question: is it always valid to square here as |m|-|n| can result in -ve number.
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by aloneontheedge » Sat Jul 24, 2010 11:40 am
outreach wrote:|m-n|=|m|-|n|

Squaring both the sides

m^2-2mn+n^2=m^2-2|m||n|+n^2
mn=|m||n| is the Q


1)
m>n
m=-2,n=-3 Q satisfied
m=2,n=-1 Q not satisfied

insuff

2)
m> -n
m=2,n=-1 Q not satisfied
m=2,n=1 Q satisfied
insuff


combined 1 and 2
insuff

E
Raffy wrote:|m-n|=|m|-|n|

1) m-n>0
2)m+n>0
Outreach,
the question isnt clear,how did you start answering?
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by kvcpk » Sat Jul 24, 2010 11:49 am
I dont see the question here.. Any attachment missing?
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by indiantiger » Sat Jul 24, 2010 3:04 pm
Can we solve inequality equations as :

m - n> 0
+m + n>0
-------------------
2m > 0
giving = m >0
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