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# Is 4z > -6 ? (1) z < 7 (2) z > -1

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Senior Manager
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 475
Location: United Kingdom
GMAT 1: 730 Q49 V45
GPA: 2.9
WE: Information Technology (Consulting)
Is 4z > -6 ? (1) z < 7 (2) z > -1  [#permalink]

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20 Mar 2012, 09:42
4
00:00

Difficulty:

5% (low)

Question Stats:

79% (00:52) correct 21% (01:03) wrong based on 176 sessions

### HideShow timer Statistics

Is 4z > -6 ?

(1) z < 7

(2) z > -1

How come B alone is sufficient?

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Manager
Joined: 22 Feb 2012
Posts: 86
Schools: HBS '16
GMAT 1: 740 Q49 V42
GMAT 2: 670 Q42 V40
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WE: Corporate Finance (Aerospace and Defense)
Re: Is 4z > -6 ? (1) z < 7 (2) z > -1  [#permalink]

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20 Mar 2012, 09:49
1
Rewrite:
Is 4z > -6 as

Is z> -6/4
or is z > -3/2
or is z> -1.5

After that - you can see that if Z > -1 it must be > -1.5 as well
CEO
Joined: 20 Mar 2014
Posts: 2633
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Re: Is 4z > -6 ? (1) z < 7 (2) z > -1  [#permalink]

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03 Aug 2015, 03:51
1
enigma123 wrote:
Is 4z > -6 ?

(1) z < 7

(2) z > -1

How come B alone is sufficient?

Question asks: Is 4z> -6 ---> ONLY IF z > -1.5.

Per statement 1, if z<7, z = -2 ("NO") but if z = 6 ("YES"). Hence this statement is not sufficient.

Per statement 2, z > -1. Now we need z>-1.5 to answer with a definite yes or no . Any number > -1 MUST BE > -1.5. Hence this statement is sufficient.

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Re: Is 4z > -6 ? (1) z < 7 (2) z > -1  [#permalink]

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11 Dec 2017, 14:29
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Re: Is 4z > -6 ? (1) z < 7 (2) z > -1 &nbs [#permalink] 11 Dec 2017, 14:29
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