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Is x > 10?

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Intern
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Joined: 26 Feb 2017
Posts: 28

Kudos [?]: 45 [0], given: 41

Location: Brazil
GMAT 1: 610 Q45 V28
GPA: 3.11
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Is x > 10? [#permalink]

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New post 07 Oct 2017, 11:55
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

66% (01:06) correct 34% (00:30) wrong based on 70 sessions

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Is x > 10?

(1) |x – 4 | > 6
(2) |x| > 10
[Reveal] Spoiler: OA

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Joined: 02 Aug 2009
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Re: Is x > 10? [#permalink]

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New post 07 Oct 2017, 17:26
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vitorpteixeira wrote:
x > 10?

(1) |x – 4 | > 6
(2) |x| > 10



1) |x-4|>6..
Two possibilities
x-4>6.....x>10
-(x-4)>6....x-4<-6.....x<-2
Insufficient

2) |x|>10..
So x>10 or x<-10
Insuff..

Combined
X>10 or x<-10
Insufficient

E
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

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Joined: 25 Feb 2013
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Re: Is x > 10? [#permalink]

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New post 07 Oct 2017, 20:36
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vitorpteixeira wrote:
x > 10?

(1) |x – 4 | > 6
(2) |x| > 10


Another approach to solve this question is to plot the value on a number line (refer below)

Attachment:
absolute inequality.jpg
absolute inequality.jpg [ 56.2 KiB | Viewed 603 times ]


Statement 1: we get two different ranges. Hence Insufficient

Statement 2: we get two different ranges. Hence Insufficient

On combining 1&2 we get two different ranges. Hence Insufficient

Option E

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Re: Is x > 10? [#permalink]

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New post 08 Oct 2017, 19:29
chetan2u On combining the statements we have x>10 which is common to both statements 1 and 2 , shouldn't the answer be C?

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Re: Is x > 10? [#permalink]

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New post 08 Oct 2017, 19:39
Amerendra wrote:
chetan2u On combining the statements we have x>10 which is common to both statements 1 and 2 , shouldn't the answer be C?



Hi..

Yes but that is just one part..

Another range we get is x<-2 from statement I and x<-10 from statement II.
These two ranges have common range <-10..
So x can be -11, then answer for X>10 is NO
x can be 11, then answer is YES
Different answers possible
So insufficient
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 6099 [0], given: 121

Re: Is x > 10?   [#permalink] 08 Oct 2017, 19:39
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