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# If x is an integer, what is the value of x?

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Manager
Joined: 10 Feb 2011
Posts: 109
If x is an integer, what is the value of x?  [#permalink]

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24 Feb 2011, 13:47
00:00

Difficulty:

35% (medium)

Question Stats:

69% (00:37) correct 31% (00:33) wrong based on 32 sessions

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

(1) –2(x + 5) < -1
(2) – 3x > 9
Retired Moderator
Joined: 20 Dec 2010
Posts: 1879
Re: If x is an integer, what is the value of x?  [#permalink]

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24 Feb 2011, 13:55
1
(1)
-2(x+5)<-1
2(x+5)>1
2x+10>1
2x>-9
x>-4.5
-4.5<x
Not Sufficient.

(2)
-3x>9
3x<-9
x<-3
Not Sufficient.

Combining both;
-4.5<x<-3
Only integer that satisfies this condition is -4
Sufficient.

Ans: "C"
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Math Expert
Joined: 02 Aug 2009
Posts: 6535
Re: If x is an integer, what is the value of x? (1) –2(x + 5) < –1 (2) –3x  [#permalink]

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07 Dec 2017, 08:53
Janvisahu wrote:
If x is an integer, what is the value of x?
(1) –2(x + 5) < –1
(2) –3x > 9

Hi..

Both the statement individually give value of x in INEQUALITy, so insufficient

let's see combined

(1) $$–2(x + 5) < –1........2(x+5)>1......x+5>\frac{1}{2}......x>\frac{-9}{2}$$, so -4,-3,-2,....
(2) $$–3x > 9.......3x<-9.......x<-3$$, so -4,-5,-6....

ONLY common value is -4
suff

C
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: If x is an integer, what is the value of x? (1) –2(x + 5) < –1 (2) –3x &nbs [#permalink] 07 Dec 2017, 08:53
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