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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: 107
If x is an integer, what is the value of x?  [#permalink]

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24 Feb 2011, 12:47
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Difficulty:

35% (medium)

Question Stats:

74% (01:19) correct 26% (01:31) wrong based on 88 sessions

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Project DS Butler: Day 52: Data Sufficiency (DS103)

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: 1795
Re: If x is an integer, what is the value of x?  [#permalink]

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24 Feb 2011, 12:55
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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Posts: 7334
Re: If x is an integer, what is the value of x?  [#permalink]

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07 Dec 2017, 07:53
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
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

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Re: If x is an integer, what is the value of x?  [#permalink]

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27 Dec 2018, 08:06

Project DS Butler: Day 52: Data Sufficiency (DS103)

Bumping for DS Butler project.
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If x is an integer, what is the value of x?  [#permalink]

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27 Dec 2018, 09:55
1) from 1- x> -9/2 not suff
2) from 2 - x< -3 not suff

from 1 and 2 combined

-4.5<x<-3
=>x= -4 Sufficient (C)
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If x is an integer, what is the value of x?   [#permalink] 27 Dec 2018, 09:55
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