Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

(1) \(x^3-x>0\) --> \(x(x^2-1)>0\): Two cases: A.\(x>0\), \(x^2-1>0\) --> \(x>0\) and \(x>1\) \(x<-1\)--> \(x>1\) B. \(x<0\), \(x^2-1<0\) --> \(x<0\) and \(-1<x<1\) --> \(-1<x<0\)

Two ranges \(x>1\) or \(-1<x<0\), not sufficient.

(2) \(x>0\), \(x^2>x\) --> \(x^2-x>0\)--> \(x(x-1)>0\) --> as \(x>0\), \(x-1>0\) --> \(x>1\). One range \(x>1\). Sufficient.

Answer: B.

Hi Bunuel!

I have seen already your answers in which you mention the ranges both in inequalities & in modules questions. Can you kindly explain how does it work or refer to some good resource to understand the raging concept.
_________________

(1) \(x^3-x>0\) --> \(x(x^2-1)>0\): Two cases: A.\(x>0\), \(x^2-1>0\) --> \(x>0\) and \(x>1\) \(x<-1\)--> \(x>1\) B. \(x<0\), \(x^2-1<0\) --> \(x<0\) and \(-1<x<1\) --> \(-1<x<0\)

Two ranges \(x>1\) or \(-1<x<0\), not sufficient.

(2) \(x>0\), \(x^2>x\) --> \(x^2-x>0\)--> \(x(x-1)>0\) --> as \(x>0\), \(x-1>0\) --> \(x>1\). One range \(x>1\). Sufficient.

Answer: B.

Hi Bunuel!

I have seen already your answers in which you mention the ranges both in inequalities & in modules questions. Can you kindly explain how does it work or refer to some good resource to understand the raging concept.

Unfortunately I can not refer to any resources as I studied this staff in school. But I'll try to explain the basics of it if you specify the issue or post question(s).
_________________

x>0, x^2>x --> x^2-x>0--> x(x-1)>0 --> as x>0, x-1>0 --> x>1. One range x>1. Sufficient.

you haven't considered the second half i guess..

x(x-1)>0 --->x<0, x<1--->x<1..

if x = -2 then -2(-2-1)>0..

I think its E..correct me if am wrong..

Not so.

Statement 2 states: x^2>x>0

When we split we get x^2>x AND x>0, so there is no second part. x can not be less than zero, so the only chance x(x-1)>0 to be true is when x and x-1 is BOTH more than zero.
_________________

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Since my last post, I’ve got the interview decisions for the other two business schools I applied to: Denied by Wharton and Invited to Interview with Stanford. It all...

[rss2posts title=The MBA Manual title_url=https://mbamanual.com/2016/11/22/mba-vs-mim-guest-post/ sub_title=MBA vs. MiM :3qa61fk6]Hey, guys! We have a great guest post by Abhyank Srinet of MiM-Essay . In a quick post and an...

Marketing is one of those functions, that if done successfully, requires a little bit of everything. In other words, it is highly cross-functional and requires a lot of different...