Last visit was: 03 Oct 2024, 19:23 It is currently 03 Oct 2024, 19:23
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.
Close
Request Expert Reply
Confirm Cancel
SORT BY:
Date
Tags:
Show Tags
Hide Tags
User avatar
Joined: 10 Feb 2011
Posts: 86
Own Kudos [?]: 1744 [33]
Given Kudos: 10
Send PM
Most Helpful Reply
User avatar
Retired Moderator
Joined: 20 Dec 2010
Posts: 1107
Own Kudos [?]: 4810 [7]
Given Kudos: 376
Send PM
General Discussion
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11491
Own Kudos [?]: 36539 [1]
Given Kudos: 333
Send PM
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]
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)
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]
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.
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6797
Own Kudos [?]: 31529 [1]
Given Kudos: 799
Location: Canada
Send PM
Re: If x is an integer, what is the value of x? [#permalink]
1
Kudos
Expert Reply
Top Contributor
banksy

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
Non-Human User
Joined: 09 Sep 2013
Posts: 35105
Own Kudos [?]: 890 [0]
Given Kudos: 0
Send PM
Re: If x is an integer, what is the value of x? [#permalink]
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
Re: If x is an integer, what is the value of x? [#permalink]
Moderator:
Math Expert
95922 posts