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Is x > 10?

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vitorpteixeira
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Is x > 10? [#permalink] New post   07 Oct 2017, 11:55
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A
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Question Stats:

69% (01:15) correct 31% (01:15) wrong based on 138 sessions
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Is x > 10?

(1) |x – 4 | > 6
(2) |x| > 10
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E
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chetan2u
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Re: Is x > 10? [#permalink] 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
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niks18
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Re: Is x > 10? [#permalink] 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 2240 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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Amirfunc
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Re: Is x > 10? [#permalink] 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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chetan2u
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Re: Is x > 10? [#permalink] New post   08 Oct 2017, 19:39
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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
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Re: Is x > 10? [#permalink] New post   24 Apr 2019, 03:31
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Is x > 10? [#permalink]
24 Apr 2019, 03:31
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