NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 20:39 It is currently 25 Apr 2024, 20:39
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

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

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
banksy
Manager
Manager
Joined: 10 Feb 2011
Posts: 86
Own Kudos [?]: 1627 [27]
Given Kudos: 10
Send PM
If x is an integer, what is the value of x? [#permalink] New post   24 Feb 2011, 13:47
2
Kudos
25
Bookmarks
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

71% (01:24) correct 29% (01:25) wrong based on 1131 sessions
Hide Show timer Statistics
If x is an integer, what is the value of x?

(1) –2(x + 5) < -1
(2) – 3x > 9
ShowHide Answer
Official Answer
C
Most Helpful Reply
User avatar
fluke
Retired Moderator
Joined: 20 Dec 2010
Posts: 1114
Own Kudos [?]: 4702 [7]
Given Kudos: 376
Send PM
Re: If x is an integer, what is the value of x? [#permalink] New post   24 Feb 2011, 13:55
4
Kudos
3
Bookmarks
(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"
General Discussion
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11178
Own Kudos [?]: 31933 [1]
Given Kudos: 290
Send PM
Reviews Badge
Re: If x is an integer, what is the value of x? [#permalink] New post   07 Dec 2017, 08:53
1
Bookmarks
Expert Reply
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
User avatar
B
Gmat2Cracker
Manager
Manager
Joined: 30 Oct 2018
Posts: 53
Own Kudos [?]: 14 [0]
Given Kudos: 84
Location: India
Concentration: General Management, Entrepreneurship
Schools: IE '22 (A)
WE:Information Technology (Computer Software)
Send PM
Re: If x is an integer, what is the value of x? [#permalink] New post   27 Dec 2018, 10:55
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)
avatar
B
bowser123
Intern
Intern
Joined: 10 Aug 2020
Posts: 5
Own Kudos [?]: 5 [0]
Given Kudos: 18
Location: United States
Concentration: Social Entrepreneurship, Leadership
GPA: 3.6
Send PM
Re: If x is an integer, what is the value of x? [#permalink] New post   18 Aug 2020, 14:06
You know X is an I, you are looking for value of X. So that can range from negative, 0, positive integers.

Statement 1:
-2(X+5)<-1
-2X-10<-1
-2X<9
X>-4.5 (flip the inequality if divide or multiply by a negative).

Well statement 1 means that it could be -4, -3, 0, 1, 2 etc... so A and D are not correct.

Statement 2:
-3X>9
X<-3 (again flip the inequality if divide or multiply by a negative).

Well this means that X can be -4, -5, -6, etc... so B is not correct.

Combining the two statements you get the following inequality
-4.5<X<-3 and since X needs to be an integer you know that X=-4 so C is correct.
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6820
Own Kudos [?]: 29934 [1]
Given Kudos: 799
Location: Canada
Send PM
Re: If x is an integer, what is the value of x? [#permalink] New post   23 May 2022, 09:22
1
Kudos
Expert Reply
Top Contributor
banksy wrote:

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


For DS butler Questions Click Here


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

(1) –2(x + 5) < -1
(2) –3x > 9


Target question: What is the value of x?

Statement 1: –2(x + 5) < -1
Expand the left side: –2x - 10 < -1
Add 10 to both sides: –2x < 9
Divide both sides by -2 to get: x > -4.5 [note: Since I divided both sides of the inequality by a negative value, I had to reverse the direction of the inequality symbol]
Since x is an INTEGER, x could equal -4, -3, -2, -1 . . . .
Since we can’t answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: –3x > 9
Divide both sides of the equation by -3 to get: x < -3
Since x is an INTEGER, x could equal -4, -5, -6, -7 . . . .
Since we can’t answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us that x > -4.5
Statement 2 tells us that x < -3
Combine the two inequalities to get: -4.5 < x < -3
Since x is an INTEGER, x MUST equal -4
The combined statements are SUFFICIENT

Answer: C
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32680
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: If x is an integer, what is the value of x? [#permalink] New post   07 Oct 2023, 07:09
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: If x is an integer, what is the value of x? [#permalink]
07 Oct 2023, 07:09
Moderator:
Bunuel
Math Expert
92915 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions