Last visit was: 21 Apr 2026, 23:56 It is currently 21 Apr 2026, 23:56
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
afife76
User avatar
Joined: 19 Jun 2003
Last visit: 21 Dec 2004
Posts: 75
Own Kudos:
66
Posts: 75
Kudos: 66
PS: Old question 11 Jul 2004, 21:02
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:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

History

Date
Time
Result
Not Attempted Yet
|B+6|–|B–5|=0

Could somebody explain the solution?

Thank you. :help2



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
ian7777
User avatar
Joined: 09 Mar 2003
Last visit: 24 Jan 2010
Posts: 227
Own Kudos:
178
Posts: 227
Kudos: 178
PS: Old question 11 Jul 2004, 23:37
Kudos
Add Kudos
Bookmarks
Bookmark this Post
any algebraic equation with absolute value must be rewritten in its positive and negative form without the absolute value.

For example,
|x| = 6 so
x = 6 and x = -6

|x-3| = 5 becomes
x-3 = 5 and x-3 = -5 so
x=8 and x=-2, and both work when you plug them back in.

Same thing here.
Start with |b+6|-|b-5|=0, and make it
|b+6|=|b-5|

So b+6 = b-5 or b+6 = -(b-5)
Solve each one, and see that in the first one, b cancels and it's impossible, and in the second one, b=-.5
avatar
enigmatic007
avatar
Joined: 08 Jun 2004
Last visit: 02 Jul 2005
Posts: 133
Own Kudos:
27
Location: INDIA
Posts: 133
Kudos: 27
PS: Old question 12 Jul 2004, 06:11
Kudos
Add Kudos
Bookmarks
Bookmark this Post
let us try one another way

sqauring BOTH the absolute values...


we have... B^2+12B +36 = B^2-10B +25

22 b = -(11)
b = -.5

hope that helps!

have fun :)
User avatar
smandalika
User avatar
Joined: 16 May 2004
Last visit: 24 Mar 2007
Posts: 30
Own Kudos:
4
Location: columbus
Posts: 30
Kudos: 4
PS: Old question 15 Jul 2004, 16:53
Kudos
Add Kudos
Bookmarks
Bookmark this Post
|B+6|–|B–5|=0

I think mod problems should be tackled taking into consideration the ranges in which the exp are valid

B+6 > 0 if B > -6

B- 5 > 0 if B > 5

so there are 3 regions for which we have to consider the expression
B> 5 and -6 > B > 5 andB < -6

for B > 5 and D < -6 the equation has no soln
for the 2nd range B + 6 -(-(B - 5)) = 0
= B + 6 + B -5 = 0
2B = -1
or B= -.5
User avatar
K_s_r
User avatar
Joined: 21 Jun 2004
Last visit: 14 Oct 2004
Posts: 28
Own Kudos:
1
Posts: 28
Kudos: 1
PS: Old question 15 Jul 2004, 20:42
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ian7777
any algebraic equation with absolute value must be rewritten in its positive and negative form without the absolute value.

For example,
|x| = 6 so
x = 6 and x = -6

|x-3| = 5 becomes
x-3 = 5 and x-3 = -5 so
x=8 and x=-2, and both work when you plug them back in.

Same thing here.
Start with |b+6|-|b-5|=0, and make it
|b+6|=|b-5|

So b+6 = b-5 or b+6 = -(b-5)
Solve each one, and see that in the first one, b cancels and it's impossible, and in the second one, b=-.5
Show more


Taking time in to consideration, this will be the quickest method to solve the problem



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
109740 posts