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# If –4 < k < 4, is k < 3 ? (1) (k + 4)(k –3) > 0 (2) k > 0

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Math Expert
Joined: 02 Sep 2009
Posts: 52294
If –4 < k < 4, is k < 3 ? (1) (k + 4)(k –3) > 0 (2) k > 0  [#permalink]

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21 Mar 2017, 04:41
00:00

Difficulty:

45% (medium)

Question Stats:

53% (01:19) correct 47% (01:58) wrong based on 50 sessions

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If –4 < k < 4, is k < 3 ?

(1) (k + 4)(k –3) > 0
(2) k > 0

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Joined: 21 Jun 2014
Posts: 1113
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
Re: If –4 < k < 4, is k < 3 ? (1) (k + 4)(k –3) > 0 (2) k > 0  [#permalink]

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21 Mar 2017, 11:06
Bunuel wrote:
If –4 < k < 4, is k < 3 ?

(1) (k + 4)(k –3) > 0
(2) k > 0

–4 < k < 4,

-4...-3...-2...-1...0...1...2...3...4

stmt-1:
(k + 4)(k –3) > 0 from this we get the range for k i.e k lies outside of -4 <= k <= 3

is k < 3 if k = 3.5 then No

is k < 3 if k = -4.5, we cannot take this value as –4 < k < 4.

hence K < 3 not true. Definite answer. Sufficient

Stmt-2: k > 0

k can be 1 or 3.5

insufficient.

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Re: If –4 < k < 4, is k < 3 ? (1) (k + 4)(k –3) > 0 (2) k > 0  [#permalink]

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23 Mar 2017, 00:41
1

stat2 : clearly insuff.

stat 1: both (k+4) (k-3) are positive or negative..

case 1 : both positive
(k+4)>0 and (k-3) > 0
k > -4 k > 3
combined range will be 3<k<4

case 2 : Both negative
(k+4) < 0 and (k-3) <0
k<-4 k<3
combined range k<-4 ,,,irrelevant as the range given the question stem says -4<k<4

hence clearly k>3 , hence no to the question ,,,suff

ans A
Re: If –4 < k < 4, is k < 3 ? (1) (k + 4)(k –3) > 0 (2) k > 0 &nbs [#permalink] 23 Mar 2017, 00:41
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