• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• Get 300+ Practice Questions
25 Video lessons and 6 Webinars for FREE

Available with Beat the GMAT members only code

• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to \$200

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

## Is |x| < 5?

This topic has 1 expert reply and 0 member replies

### Top Member

Vincen Master | Next Rank: 500 Posts
Joined
07 Sep 2017
Posted:
372 messages
Thanked:
5 times

#### Is |x| < 5?

Sun Sep 24, 2017 6:48 am
Elapsed Time: 00:00
• Lap #[LAPCOUNT] ([LAPTIME])
Is |x| < 5?

(1) x^2 < 16

(2) x(x - 5) < 0

The OA is D.

Clearly Statement (1) is sufficient. But, why statement (2) is sufficient?

Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!

### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
Joined
22 Aug 2016
Posted:
703 messages
Followed by:
17 members
Thanked:
335 times
Sun Sep 24, 2017 9:13 pm
Vincen wrote:
Is |x| < 5?

(1) x^2 < 16

(2) x(x - 5) < 0

The OA is D.

Clearly Statement (1) is sufficient. But, why statement (2) is sufficient?
Let's look at x(x - 5) < 0.

To make x(x - 5) < 0, you must not assume that x is negative, else x as well as (x - 5) would be negative, making x(x - 5) positive.

So, x cannot be negative.

x cannot be either 0 or 5, else x(x - 5) would be 0.

x cannot be greater than 5. For example, say x = 6.

Then, x(x - 5) < 0 => 6*(6 - 5) < 0 => 1 not less than 0.

Thus, 0 < x < 5. Thus, |x| < 5. Sufficient.

The correct answer: D

Hope this helps!

Download free ebook: Manhattan Review GMAT Quantitative Question Bank Guide

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | Hyderabad | Mexico City | Toronto | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

### Best Conversation Starters

1 Vincen 152 topics
2 lheiannie07 61 topics
3 Roland2rule 49 topics
4 LUANDATO 44 topics
5 ardz24 40 topics
See More Top Beat The GMAT Members...

### Most Active Experts

1 Brent@GMATPrepNow

GMAT Prep Now Teacher

140 posts
2 Rich.C@EMPOWERgma...

EMPOWERgmat

110 posts
3 EconomistGMATTutor

The Economist GMAT Tutor

109 posts
4 GMATGuruNY

The Princeton Review Teacher

107 posts
5 DavidG@VeritasPrep

Veritas Prep

72 posts
See More Top Beat The GMAT Experts