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 →

Problem solving

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 772
Joined: Wed Aug 30, 2017 6:29 pmFollowed by: 6 members
by BTGmoderatorRO » Fri Sep 15, 2017 1:49 pm
If x is less than 2, which of the following statements are always true?
I. x is negative
II. x is positive.
III. 2x is greater than or equal to x
IV. x² is greater than or equal to x.

A) III only
B) IV only
C) I and III only
D) I, III, and IV only
E) none of the statements

OA is e
can you explain why option C is chosen over A in this question
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |

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 » Fri Sep 15, 2017 4:35 pm
Roland2rule wrote:If x is less than 2, which of the following statements are always true?
I. x is negative
II. x is positive.
III. 2x is greater than or equal to x
IV. x² is greater than or equal to x.

A) III only
B) IV only
C) I and III only
D) I, III, and IV only
E) none of the statements
Key words: always true
So, if we can show that a statement could be false, we can eliminate that statement.

I. x is negative
If x < 2, then x COULD equal 1, in which case this statement need not be true
ELIMINATE C and D

II. x is positive.
If x < 2, then x COULD equal -1, in which case this statement need not be true

III. 2x is greater than or equal to x
If x < 2, then x COULD equal -1, in which case 2x = -2
In this case, 2x is NOT greater than x
ELIMINATE A

IV. x² is greater than or equal to x.
If x < 2, then x COULD equal 1/2, in which case x² = 1/4
So, x² is NOT greater than or equal to x.
ELIMINATE B

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Moderator
Posts: 772
Joined: Wed Aug 30, 2017 6:29 pmFollowed by: 6 members

by BTGmoderatorRO » Sat Sep 16, 2017 11:40 am
Brent@GMATPrepNow wrote:
Roland2rule wrote:If x is less than 2, which of the following statements are always true?
I. x is negative
II. x is positive.
III. 2x is greater than or equal to x
IV. x² is greater than or equal to x.

A) III only
B) IV only
C) I and III only
D) I, III, and IV only
E) none of the statements
Key words: always true
So, if we can show that a statement could be false, we can eliminate that statement.

I. x is negative
If x < 2, then x COULD equal 1, in which case this statement need not be true
ELIMINATE C and D

II. x is positive.
If x < 2, then x COULD equal -1, in which case this statement need not be true

III. 2x is greater than or equal to x
If x < 2, then x COULD equal -1, in which case 2x = -2
In this case, 2x is NOT greater than x
ELIMINATE A

IV. x² is greater than or equal to x.
If x < 2, then x COULD equal 1/2, in which case x² = 1/4
So, x² is NOT greater than or equal to x.
ELIMINATE B

Answer: E

Cheers,
Brent
Thanks Brent for your detailed breakdown and explanation. please endeavor to answer other questions i have been asking on this platform.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1