Last visit was: 31 Dec 2024, 00:35 It is currently 31 Dec 2024, 00:35
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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
PREVIOUS TOPIC
NEXT TOPIC

0 < a < b/2 < 9

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30558
Own Kudos [?]: 36907 [2]
Given Kudos: 26108
Send PM
0 < a < b/2 < 9 [#permalink] New post   12 Aug 2018, 09:46
Expert Reply
2
Bookmarks
00:00

Question Stats:

75% (01:00) correct 24% (01:13) wrong based on 198 sessions

Hide Show timer Statistics

\(0 < a < \frac{b}{2} < 9\)

Quantity A
Quantity B
\(9-a\)
\(\frac{b}{2} - a\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E
ShowHide Answer
Official Answer
A
avatar
Romang67
Intern
Intern
Joined: 10 Aug 2018
Posts: 33
Own Kudos [?]: 49 [4]
Given Kudos: 0
Send PM
Re: 0 < a < b/2 < 9 [#permalink] New post   13 Aug 2018, 06:30
3
1
Bookmarks
Note that inequalities have many rules similar to equations, and thus we can balance the inequality by subtracting everything by a:

0 < a < b/2 < 9

-a < 0 < b/2 - a < 9 - a

So the answer is A.
avatar
DiamondsAndHistones
Intern
Intern
Joined: 16 Aug 2018
Posts: 4
Own Kudos [?]: 1 [0]
Given Kudos: 0
Send PM
Re: 0 < a < b/2 < 9 [#permalink] New post   17 Aug 2018, 13:00
Romang67 wrote:
Note that inequalities have many rules similar to equations, and thus we can balance the inequality by subtracting everything by a:

0 < a < b/2 < 9

-a < 0 < b/2 - a < 9 - a

So the answer is A.


If it's not too much trouble, could you explain what you mean by balancing the inequality, and why we subtract everything by a to do that? Thank you!
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30558
Own Kudos [?]: 36907 [1]
Given Kudos: 26108
Send PM
Re: 0 < a < b/2 < 9 [#permalink] New post   18 Aug 2018, 02:25
1
Expert Reply
- He actually simplified the inequality and for each term subtracted a.


\(0 < a < \frac{b}{2} < 9\)

using -a

\(-a < 0 < \frac{b}{2} - a < 9 - a\)

As you can see inside the inequality \(\frac{b}{2} - a < 9 - a\)
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12239 [0]
Given Kudos: 136
Send PM

Top Member of the Month
Re: 0 < a < b/2 < 9 [#permalink] New post   18 Aug 2018, 05:48
1
Carcass wrote:
\(0 < a < \frac{b}{2} < 9\)

Quantity A
Quantity B
\(9-a\)
\(\frac{b}{2} - a\)



GIVEN: 0 < a < b/2 < 9
Subtract a from all sides to get: 0 - a < a - a < b/2 - a < 9 - a
Simplify: -a < 0 < b/2 - a < 9 - a

If we ignore the first two values, we can see that: b/2 - a < 9 - a
Since 9 - a is GREATER THAN b/2 - a, the correct answer is A

RELATED VIDEO FROM OUR COURSE
avatar
parseltongue
Intern
Intern
Joined: 13 Jul 2018
Posts: 33
Own Kudos [?]: 29 [0]
Given Kudos: 0
GRE 1: Q159 V151
GPA: 4
WE:Programming (Computer Software)
Send PM
Reviews Badge
Re: 0 < a < b/2 < 9 [#permalink] New post   18 Aug 2018, 12:09
1
We can easily eliminate -a from the inequality since it's on both the sides. After that, only 9 and b/2 are left, and 9 is bigger is given in the question.
avatar
fixzion
Intern
Intern
Joined: 10 Oct 2017
Posts: 9
Own Kudos [?]: 6 [0]
Given Kudos: 0
Send PM
Re: 0 < a < b/2 < 9 [#permalink] New post   23 Sep 2018, 21:32
I got this correct! I am improving my quant score.! Gotta top GRE
avatar
ARIJOSHI
Intern
Intern
Joined: 07 Jan 2019
Posts: 38
Own Kudos [?]: 45 [1]
Given Kudos: 0
Send PM
Re: 0 < a < b/2 < 9 [#permalink] New post   12 Jan 2019, 06:59
1
Adding +a in both the quantities,
Quantity A = 9
Quantity B= b/2
Given that,
b/2 <9, hence Quantity A > Quantity B
avatar
B
nikitap
Intern
Intern
Joined: 20 Dec 2022
Posts: 15
Own Kudos [?]: 15 [1]
Given Kudos: 249
Send PM
Re: 0 < a < b/2 < 9 [#permalink] New post   27 Feb 2023, 10:18
1
0<a<b/2<9 which is equal to 0<2a<b<18

QA -> 9 - a
QB -> b/2 - a

Add a to both sides
QA -> 9
QB -> b/2

Multiply both sides by 2

QA - > 18
QB -> b

since b is less than 2 as given in the 0<2a<b<18

QA > QB
Prep Club for GRE Bot
gmatclubot
Re: 0 < a < b/2 < 9 [#permalink]
27 Feb 2023, 10:18
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1124 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact