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: — Data Sufficiency |
Legendary Member
Posts: 1084
Joined: Fri Apr 15, 2011 2:33 pmFollowed by: 21 members
Thanked: 158 times

by pemdas » Mon Aug 08, 2011 3:00 am
x>-3y will always be true, hence b
jayanti wrote:If x > 3 and y > -1, then which of the following is always true:

A) x < 3y

B) -x < 3y

C) xy < -3

D) -x > 3y

E) x < -3y
Success doesn't come overnight!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Senior | Next Rank: 100 Posts
Posts: 72
Joined: Tue Apr 19, 2011 6:58 amFollowed by: 6 members

by jayanti » Mon Aug 08, 2011 5:01 am
Hi, could you pls explain it as how???

Thanks a lot
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 2789
Joined: Tue Jul 26, 2011 12:19 amFollowed by: 43 members
Location: Chennai, India
Thanked: 206 times
GMAT Score:640

by GmatKiss » Mon Aug 08, 2011 6:39 am
IMO:B,

just substitute values.

x can be (4,5,6,.....n)
y can be (0,1,2,3,....m)

B => -x < 3y

1) let x be 4 and y be 0,
-4 < 0
2) let x be 4 and y be 1,
-4 < 3

Hence B! Hope it helps.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 1448
Joined: Tue May 17, 2011 9:55 amFollowed by: 53 members
Location: India
Thanked: 375 times

by Frankenstein » Mon Aug 08, 2011 6:43 am
jayanti wrote:Hi, could you pls explain it as how???
Hi,
x>3
y>-1. Multiply this inequality with (-3). Multiplication by a negative quantity changes the sign of inequality.
So, -3y < (-1)*(-3)
=> -3y < 3
x > 3(x is always greater than 3) and -3y < 3(-3y is always less than 3)
So, x > -3y
Cheers!

Things are not what they appear to be... nor are they otherwise
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 312
Joined: Tue Aug 02, 2011 3:16 pmFollowed by: 33 members
Location: New York City
Thanked: 130 times
GMAT Score:780

by gmatboost » Mon Aug 08, 2011 8:18 am
I agree with the explanation, but I think the more natural one to multiply by the negative number is the one with x:
x > 3
-x < -3

y > -1
3y > -3

-x < -3 < 3y matches the way B is written
Greg Michnikov, Founder of GMAT Boost

GMAT Boost offers 250+ challenging GMAT Math practice questions, each with a thorough video explanation, and 100+ GMAT Math video tips, each 90 seconds or less.
It's a total of 20+ hours of expert instruction for an introductory price of just $10.
View sample questions and tips without signing up, or sign up now for full access.

Also, check out the most useful GMAT Math blog on the internet here.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 1448
Joined: Tue May 17, 2011 9:55 amFollowed by: 53 members
Location: India
Thanked: 375 times

by Frankenstein » Mon Aug 08, 2011 8:25 am
Hi,
Agreed. Sorry I haven't seen the question properly. I only saw two posts:
x>-3y will always be true, hence
and a reply to that
Hi, could you pls explain it as how???
So, explained that part and didn't bother about the actual question.
Cheers!

Things are not what they appear to be... nor are they otherwise
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1