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# if x is an integer, what is the value of x? -2(x+5) <-1 AND -3x >9

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Intern
Joined: 18 Feb 2017
Posts: 18
if x is an integer, what is the value of x? -2(x+5) <-1 AND -3x >9  [#permalink]

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Updated on: 26 Dec 2017, 06:48
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:01) correct 0% (00:00) wrong based on 5 sessions

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I'm struggling with this question
I think I am manipulating the inequalities incorrectly

if x is an integer, what is the value of x?

(1) -2(x+5) 9

I get E but the official answer is C

my simplification
x -9

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Originally posted by mrcentauri on 26 Dec 2017, 06:42.
Last edited by mrcentauri on 26 Dec 2017, 06:48, edited 1 time in total.
Intern
Joined: 25 Dec 2017
Posts: 6
if x is an integer, what is the value of x? -2(x+5) <-1 AND -3x >9  [#permalink]

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26 Dec 2017, 06:48
1
mrcentauri wrote:
I'm struggling with this question
I think I am manipulating the inequalities incorrectly

if x is an integer, what is the value of x?

(1) -2(x+5) < -1

(2) -3x > 9

I get E but the official answer is C

For statement (1):
-2(x+5) < -1

Dividing both sides by -2

x + 5 > 1/2 ( this happens because the inequality sign gets reversed when both sides are multiplied or divided by a negative number )

Hence x > -4.5

For statement (2):
-3x > 9

Dividing both sides by -3, we get:
x < -3

Since only one integer value satisfies BOTH these conditions, option C is correct.

Sent from my iPhone using GMAT Club Forum mobile app
Math Expert
Joined: 02 Sep 2009
Posts: 52285
Re: if x is an integer, what is the value of x? -2(x+5) <-1 AND -3x >9  [#permalink]

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26 Dec 2017, 06:49
mrcentauri wrote:
I'm struggling with this question
I think I am manipulating the inequalities incorrectly

if x is an integer, what is the value of x?

(1) -2(x+5) 9

I get E but the official answer is C

Discussed here: if-x-is-an-integer-what-is-the-value-of-x-109983.html Hope it helps.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: if x is an integer, what is the value of x? -2(x+5) <-1 AND -3x >9 &nbs [#permalink] 26 Dec 2017, 06:49
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