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# Is m+z > 0? (1) m -3 z > 0. (2) 4z - m > 0

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Intern
Joined: 26 May 2008
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Is m+z > 0? (1) m -3 z > 0. (2) 4z - m > 0 [#permalink]

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07 Sep 2008, 07:31
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Is m+z > 0?

(1) m -3 z > 0.
(2) 4z - m > 0.
Current Student
Joined: 11 May 2008
Posts: 555
Followers: 8

Kudos [?]: 131 [0], given: 0

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07 Sep 2008, 10:06
E.

try m=3 and z=-3. it does not satisfy any condition.
Intern
Joined: 26 May 2008
Posts: 40
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Kudos [?]: 5 [0], given: 0

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07 Sep 2008, 10:37
According to me it shud be E, but
OA is C.

FYI -its a gmatprep question.
Manager
Joined: 14 Jan 2006
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Schools: HKUST
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Kudos [?]: 28 [0], given: 0

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07 Sep 2008, 11:43
kapilnegi wrote:
Is m+z > 0?

(1) m -3 z > 0.
(2) 4z - m > 0.

1 and 2 not sufficient

m-3z+4z-m > 0 ; z > 0
if z > 0 , let z = 1
1.) m > 3
2.) 4 > m
i.e, 3 < m < 4
therefore, C
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Joined: 07 Nov 2007
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Location: New York
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07 Sep 2008, 12:45
kapilnegi wrote:
Is m+z > 0?

(1) m -3 z > 0.
(2) 4z - m > 0.

combine (1) and (2)
m -3 z + 4z - m >0
z>0
from (1) it is clear that m>0 when z>0

so m+z>0

C
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Re: DS   [#permalink] 07 Sep 2008, 12:45
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