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Is m + z > 0 ? a) m - 3 z > 0 b) 4z - m > 0 (May be

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Manager
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Joined: 22 Jun 2008
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Schools: Darden School of Business (Class of 2012)
Is m + z > 0 ? a) m - 3 z > 0 b) 4z - m > 0 (May be [#permalink]

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New post 28 Oct 2008, 04:16
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Is m + z > 0 ?

a) m - 3 z > 0

b) 4z - m > 0

(May be taking both toghether is possible to add the inequalities and if z > 0 so m+z>0) ?? tks in advance!
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Re: Pls, need strategy to solve this DS [#permalink]

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New post 28 Oct 2008, 09:19
[quote="lordw"]Is m + z > 0 ?

a) m - 3 z > 0

b) 4z - m > 0

is m>-z

from a,b insuff

both

add

z>0, however from 1 m>3z thus m >-z
Manager
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Re: Pls, need strategy to solve this DS [#permalink]

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New post 28 Oct 2008, 09:40
a) m - 3 z > 0

It simplifies to m/3 > z.

This is possible when m is +ve, z is +ve. m is +ve and z is -ve and m is -ve and z -ve.

Thus insufficient.


b) 4z - m > 0

It is also possible when both are +ve. both -ve.

Combining.. we get z>0. Applying on (1) ... we get m>3z thus m+z>0
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Re: Pls, need strategy to solve this DS [#permalink]

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New post 28 Oct 2008, 14:41
together

is m>-z?

m-3z>0= m>3z
4z-m>0= 4z>m

so 3z<m<4z

let z=1, -z=-1

3*1<m<4*1, m is greater than -1

let z=-1, -z=1

3*-1<m< 4*-1, m is less than 1

insufficient


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Re: Pls, need strategy to solve this DS [#permalink]

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New post 28 Oct 2008, 15:50
C

1. m-3z>0 - In Suff
2. 4z-m>0 - In Suff

Together
m-4z<0 ---> m-3z-z<0 ---> m-3z<z
m-3z>0 ---> z>0
Sufficient
Re: Pls, need strategy to solve this DS   [#permalink] 28 Oct 2008, 15:50
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