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

Redeem

Which inequality solution set is a line of finite length?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 76
Joined: Thu Feb 19, 2009 12:10 pm
Thanked: 3 times
Followed by:2 members

Which inequality solution set is a line of finite length?

by Bens4vcobra » Thu Jun 16, 2011 5:45 am
Ran into this one on my second GMATPrep practice test:

Which inequality solution set, when graphed on the xy cord. plane, is a single line segment of finite length?

A) X4 >/= 1
B) X3 </= 27
C) X2 >/= 16
D) 2 </= IxI </= 5
E) 2 </= 3x + 4 </= 6

<>/= Greater than or equal to

X4, X3, X2 - exponents
IxI - absolute value

If there is a way to write these symbols on here please let me know.

The answer is E but I can't figure out why. Thanks.
"It takes no ability to give effort. Toughness is not God-given; it's a choice. The discipline to execute is a habit." - Nick Saban
Top
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Thu Jun 16, 2011 5:57 am
Bens4vcobra wrote:Which inequality solution set, when graphed on the xy cord. plane, is a single line segment of finite length?

A) x^4 ≥ 1
B) x^3 ≤ 27
C) x^2 ≥ 16
D) 2 ≤ |x| ≤ 5
E) 2 ≤ 3x + 4 ≤ 6
As we are looking for a single line segment, the expression (to be precise, function) of x must be linear in nature. Now option A, B, and C are not linear. Hence, they are rejected.

Option D involves absolute value. Therefore, it'll have at least two region. Hence, option D is also rejected.

Only option E remains.

The correct answer is E.

Note : All the expressions of x given in the options should be declared as y = expression of x. Otherwise the question makes no sense.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Senior | Next Rank: 100 Posts
Posts: 76
Joined: Thu Feb 19, 2009 12:10 pm
Thanked: 3 times
Followed by:2 members

by Bens4vcobra » Sun Jun 19, 2011 8:14 am
Anurag@Gurome wrote:
Bens4vcobra wrote:Which inequality solution set, when graphed on the xy cord. plane, is a single line segment of finite length?

A) x^4 ≥ 1
B) x^3 ≤ 27
C) x^2 ≥ 16
D) 2 ≤ |x| ≤ 5
E) 2 ≤ 3x + 4 ≤ 6
As we are looking for a single line segment, the expression (to be precise, function) of x must be linear in nature. Now option A, B, and C are not linear. Hence, they are rejected.

Option D involves absolute value. Therefore, it'll have at least two region. Hence, option D is also rejected.

Only option E remains.

The correct answer is E.

Note : All the expressions of x given in the options should be declared as y = expression of x. Otherwise the question makes no sense.
Thank you.

Could you demonstrate how option E is linear?
"It takes no ability to give effort. Toughness is not God-given; it's a choice. The discipline to execute is a habit." - Nick Saban
Top
Post new topic Post Reply
• Page 1 of 1