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

Redeem

GMAT prep absolute value

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
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 » Wed Mar 14, 2012 4:37 am
jkelk wrote:Hi

Please help solve the attached.

Thanks,
J
If y ≥ 0, what is the value of x?

(1) |x - 3| ≥ y ≥ 0 or we can say that |x - 3| ≥ 0
Case 1: (x - 3) ≥ 0 implies x ≥ 3
Case 2: -(x - 3) ≥ 0 implies -x + 3 ≥ 0 or x ≤ 3
No definite answer; NOT sufficient.

(2) |x - 3| ≤ -y and y ≥ 0 implies -y ≤ 0
|x - 3| ≤ 0 but |x - 3| can never be negative as |x - 3| ≥ 0
So, the only possible solution is: |x - 3| = 0 = y implies x - 3 = 0 or x = 3; SUFFICIENT.

The correct answer is B.
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
Post new topic Post Reply
• Page 1 of 1