Last visit was: 22 Apr 2026, 23:23 It is currently 22 Apr 2026, 23:23
Home
Messages
Tests
Schools
Events
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
User avatar
melguy
User avatar
Joined: 22 Mar 2011
Last visit: 25 Feb 2017
Posts: 37
Own Kudos:
54
Given Kudos: 10
Posts: 37
Kudos: 54
Values of x 20 Jun 2011, 20:40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
N
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

(N/A)

Question Stats:

38% (00:16) correct 63% (01:33) wrong based on 9 sessions

History

Date
Time
Result
Not Attempted Yet
Hi

I am a bit stumped with the answer choices. I can find 7/2 but nothing any further. Please help



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
sudhir18n
User avatar
Current Student
Joined: 26 May 2005
Last visit: 13 Feb 2013
Posts: 351
Own Kudos:
616
 [1]
Given Kudos: 13
Posts: 351
Kudos: 616
 [1]
Values of x 20 Jun 2011, 22:02
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
melguy
Hi

I am a bit stumped with the answer choices. I can find 7/2 but nothing any further. Please help
Show more

|3x-6|>9/2

When X>0
3x-6>9/2
3x>21/2
x>7/2........ greater than 7/2 can go as long as +ve infinity( 7/2, +infinity)

when X<0

3x-6<-9/2 ( change sign and flip)
3X<3/2
X<1/2........ anything less1/2 can go as long as - infinity on the number line ..
(-infinity, 1/2)

Hence C
User avatar
subhashghosh
User avatar
Retired Moderator
Joined: 16 Nov 2010
Last visit: 25 Jun 2024
Posts: 894
Own Kudos:
1,302
 [1]
Given Kudos: 43
Location: United States (IN)
Concentration: Strategy, Technology
Products:
My Reviews
Posts: 894
Kudos: 1,302
 [1]
Values of x 20 Jun 2011, 22:12
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
@melguy, please read this :
math-absolute-value-modulus-86462.html
User avatar
melguy
User avatar
Joined: 22 Mar 2011
Last visit: 25 Feb 2017
Posts: 37
Own Kudos:
54
Given Kudos: 10
Posts: 37
Kudos: 54
Values of x 20 Jun 2011, 23:33
Kudos
Add Kudos
Bookmarks
Bookmark this Post
sudhir18n
melguy
Hi

I am a bit stumped with the answer choices. I can find 7/2 but nothing any further. Please help

|3x-6|>9/2

When X>0
3x-6>9/2
3x>21/2
x>7/2........ greater than 7/2 can go as long as +ve infinity( 7/2, +infinity)

when X<0

3x-6<-9/2 ( change sign and flip)
3X<3/2
X<1/2........ anything less1/2 can go as long as - infinity on the number line ..
(-infinity, 1/2)

Hence C
Show more

Thanks! Your explanation made it lot easier!
User avatar
Spidy001
User avatar
Joined: 01 Feb 2011
Last visit: 16 Feb 2015
Posts: 298
Own Kudos:
355
Given Kudos: 42
Posts: 298
Kudos: 355
Values of x 22 Jun 2011, 18:53
Kudos
Add Kudos
Bookmarks
Bookmark this Post
when 3x-6>=0(i.e x>=2) , the given expression becomes

3x-6 > 9/2
=>x>7/2 and is in satisfying x>=2

when 3x-69/2

=>x<1/2 as is satisfying the condition x<2

so overall solution is (-infinity,1/2) U (7/2,infinity)

Answer is C.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderator:
Bunuel
Math Expert
109763 posts