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

Redeem

Inequalities

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 116
Joined: Wed Oct 03, 2012 10:44 pm
Thanked: 5 times
Followed by:1 members

Inequalities

by theachiever » Mon Dec 10, 2012 1:41 am
If 4<7-x/3,which of the following must be true?
  • I.5<x
    2.|x+3|>2
    3.-(x+5) is positive.

    A.II only
    B.III only
    C.I and II only
    D.II and III only
    E.I,II and III


Resilience is a trait that manifests in an individual when he/she faces consistent failures motivating them to succeed in the end.
Top
Source: — Problem Solving |
Junior | Next Rank: 30 Posts
Posts: 11
Joined: Sun Oct 28, 2012 8:09 pm
Thanked: 1 times
Followed by:1 members

by savvysatyam » Mon Dec 10, 2012 1:47 am
I think it is B. statement III. Problem statement can be reduced to x<9.
St I can be x>5 which may or may not be true.
ST 2 can be reduced to x>-1 which again can be ambiguous, since a value of 10 satisfies II but not problems s
St III will always align with statement 1
Top
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Mon Dec 10, 2012 4:36 am
The question stem is missing a set of parentheses.
It should read as follows:
theachiever wrote:If 4 < (7-x)/3,which of the following must be true?
  • I.5<x
    2.|x+3|>2
    3.-(x+5) is positive.

    A.II only
    B.III only
    C.I and II only
    D.II and III only
    E.I,II and III


Simplify the expression in the question stem:
4 < (7-x)/3
12 < 7-x
x < -5.
Question stem rephrased:
If x < -5, which of the following must be true?

I: x > 5
Since x is negative, it is not possible that x>5.
Eliminate C and E, which include I.

II: |x+3| > 2.
|x-(-3)| > 2
|x-y| = the DISTANCE between x and y.
Thus, |x-(-3)| > 2 asks the following:
Is the distance between x and -3 greater than 2?
The question stem indicates that x < -5:
<--------(-5)......(-3).....
Since the distance between -5 and -3 is 2, and the entire range of x lies TO THE LEFT OF -5, the distance between x and -3 must be GREATER THAN 2.
Eliminate B, which does not include II.

III: -(x+5)>0
x+5 < 0
x < -5.
Eliminate A, which does not include III.

The correct answer is D.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Post new topic Post Reply
• Page 1 of 1