BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

Inequality

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 423
Joined: Fri Jun 11, 2010 7:59 amFollowed by: 2 members
Location: Seattle, WA
Thanked: 86 times

by srcc25anu » Fri Jun 28, 2013 9:47 pm
a > b and q > p

therefore a + q > b + p
Ans D
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Senior | Next Rank: 100 Posts
Posts: 43
Joined: Fri Feb 22, 2013 10:41 pm
Thanked: 3 times

by snigdha1605 » Fri Jun 28, 2013 10:08 pm
Yup I agree... D
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Senior | Next Rank: 100 Posts
Posts: 42
Joined: Tue Dec 06, 2011 8:06 amFollowed by: 1 member
Thanked: 3 times

by ygdrasil24 » Fri Jun 28, 2013 11:20 pm
srcc25anu wrote:a > b and q > p

therefore a + q > b + p
Ans D
p,q can be re written as p>-q or -p>q
so taking a> b and p> -q
a+p>b-q Can't it be true as well?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 283
Joined: Sun Jun 23, 2013 11:56 pmFollowed by: 26 members
Location: Bangalore, India
Thanked: 97 times
GMAT Score:750

by ganeshrkamath » Thu Jul 04, 2013 3:18 am
Imsukhi wrote:if a>b and p<q then which of the following is true?

A) a-q <b-p

B) a-p>b-q

C) b+p>a-q

D) b+p<a+q

E) a+p>b-q

Pls explan
a > b
q > p
(a + q) > (b + p)
So (D)
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members
Location: Vancouver, BC
Thanked: 5254 times
GMAT Score:770

by Brent@GMATPrepNow » Thu Jul 04, 2013 6:22 am
Imsukhi wrote:if a>b and p<q then which of the following is true?

A) a-q <b-p

B) a-p>b-q

C) b+p>a-q

D) b+p<a+q

E) a+p>b-q

Pls explan

Important: We can ADD inequalities, but we cannot subtract them.
In order to add inequalities, the inequality signs must be facing in the same direction.

So, take a > b and rewrite it as b < a

Now add the two inequalities:
b < a
p < q
b+p < a+q

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members
Location: Vancouver, BC
Thanked: 5254 times
GMAT Score:770

by Brent@GMATPrepNow » Thu Jul 04, 2013 6:28 am
ygdrasil24 wrote:
p,q can be rewritten as p>-q or -p>q
so taking a> b and p> -q
a+p>b-q Can't it be true as well?
We cannot take p < q and rewrite it as p > -q

It appears that you have multiplied only one side of the inequality by -1. If you're going to multiply by -1, you must multiply both sides (and reverse the inequality).
So, if we take p < q and multiply both sides by -1, we get -p > -q

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 38
Joined: Mon Jun 21, 2010 12:37 pm

by subhakam » Thu Sep 05, 2013 1:37 pm
Brent@GMATPrepNow wrote:
Imsukhi wrote:if a>b and p<q then which of the following is true?

A) a-q <b-p

B) a-p>b-q

C) b+p>a-q

D) b+p<a+q

E) a+p>b-q

Pls explan

Important: We can ADD inequalities, but we cannot subtract them.
In order to add inequalities, the inequality signs must be facing in the same direction.

So, take a > b and rewrite it as b < a

Now add the two inequalities:
b < a
p < q
b+p < a+q

Answer: D

Cheers,
Brent
Brent - is this universally true statement ?
"We can ADD inequalities, but we cannot subtract them" OR are you just referring to the above case - why we cannot subtract inequalities?
x>y
z>w
x-z>y-w -> does that not hold true?
Please let me know - if that is the case then conceptually it is confusing
7>3
2>1
7-2>3-1
Thanks
Subhakam
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members
Location: Vancouver, BC
Thanked: 5254 times
GMAT Score:770

by Brent@GMATPrepNow » Thu Sep 05, 2013 3:38 pm
subhakam wrote: Brent - is this universally true statement ?
"We can ADD inequalities, but we cannot subtract them" OR are you just referring to the above case - why we cannot subtract inequalities?
x>y
z>w
x-z>y-w -> does that not hold true?
Please let me know - if that is the case then conceptually it is confusing
7>3
2>1
7-2>3-1
Thanks
Subhakam
Hi Subhakam,

Yes, this is a universally true statement.

If we subtract inequalities, the result need not be true.
The example you provide is one that works, but in order for a rule to be a rule, it must always work.

Check out this one:

30 > 20
29 > 1
BUT we can't say that 30-29 > 20-1

So, we can add inequalities, but we can't subtract them.

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 38
Joined: Mon Jun 21, 2010 12:37 pm

by subhakam » Fri Sep 06, 2013 5:49 am
Brent - Thank you very much
Subhakam
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1