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) g(x) = x^2 - 2x - 8. The question becomes: is \(x^2 - x - 6\geq{x^2 - 2x - 8}\)? --> is \(x\geq{-2}\)? We don't know that, hence this statement is insufficient.

(2) x < -2. We know noting about g(x). Not sufficient.

(1)+(2) From (1) the question became: is \(x\geq{-2}\)? and (2) answers this question with a NO. Sufficient.

Re: If f(x) = x^2 - x - 6, is f(x) ≥ g(x)? [#permalink]

Show Tags

12 May 2013, 08:02

Bunuel wrote:

If f(x) = x^2 - x - 6, is f(x) ≥ g(x)?

(1) g(x) = x^2 - 2x - 8. The question becomes: is \(x^2 - x - 6\geq{x^2 - 2x - 8}\)? --> is \(x\geq{-2}\)? We don't know that, hence this statement is insufficient.

(2) x < -2. We know noting about g(x). Not sufficient.

(1)+(2) From (1) the question became: is \(x\geq{-2}\)? and (2) answers this question with a NO. Sufficient.

Answer: C.

Hope it's clear.

hi banuel,

From statement 1 , how you conclude we hace solve for whether x<= -2 ?
_________________

Kabilan.K Kudos is a boost to participate actively and contribute more to the forum

(1) g(x) = x^2 - 2x - 8. The question becomes: is \(x^2 - x - 6\geq{x^2 - 2x - 8}\)? --> is \(x\geq{-2}\)? We don't know that, hence this statement is insufficient.

(2) x < -2. We know noting about g(x). Not sufficient.

(1)+(2) From (1) the question became: is \(x\geq{-2}\)? and (2) answers this question with a NO. Sufficient.

Answer: C.

Hope it's clear.

hi banuel,

From statement 1 , how you conclude we hace solve for whether x<= -2 ?

\(x^2 - x - 6\geq{x^2 - 2x - 8}\) Cancel x^2 on both sides and re-arrange \(- x +2x\geq{ - 8+6}\) -->\(x\geq{-2}\).

Question: \(f(x) = x^2 - x - 6\). Is \(f(x) >= g(x)\)?

1) \(g(x) = x^2 - 2x - 8\) 2) \(x < - 2\)

Consider statement (1):

For \(f(x)\) to be greater than or equal to \(g(x)\), \(x^2-x-6\) should be greater than or equal to \(x^2-2x-8\). This implies that: \(x^2-x-6>=x^2-2x-8\) (or) \(x>=-2\).

We don't know for sure that this is true. So this is not sufficient.

Consider statement (2):

\(x < -2\). However, we know nothing about the form of the function \(g(x)\). So this is not sufficient, either.

Consider both together:

If \(g(x)\) is given by the function in option (1), then we require \(x>=-2\) in order for \(f(x)\) to be greater than or equal to \(g(x)\). From (2) we know that \(x < -2\). Therefore, both statements together are sufficient to prove that \(f(x)\) is NOT greater than or equal to \(g(x)\).

The correct answer, therefore, is C.
_________________

I have tried this Question and got it wrong first time (Wrong approach). But I don't agree with OA.

How to answer it?? where are the options??

This is a data sufficiency question.

The data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), you must indicate whether—

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked. C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked. D. EACH statement ALONE is sufficient to answer the question asked. E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Re: If f(x) = x^2 - x - 6, is f(x) ≥ g(x)? [#permalink]

Show Tags

14 May 2013, 02:13

Bunuel wrote:

If f(x) = x^2 - x - 6, is f(x) ≥ g(x)?

(1) g(x) = x^2 - 2x - 8. The question becomes: is \(x^2 - x - 6\geq{x^2 - 2x - 8}\)? --> is \(x\geq{-2}\)? We don't know that, hence this statement is insufficient.

(2) x < -2. We know noting about g(x). Not sufficient.

(1)+(2) From (1) the question became: is \(x\geq{-2}\)? and (2) answers this question with a NO. Sufficient.

Answer: C.

Hope it's clear.

Hi Bunuel.. I understood Your solution but I have a doubt.

(1) g(x) = x^2 - 2x - 8. The question becomes: is \(x^2 - x - 6\geq{x^2 - 2x - 8}\)? --> is \(x\geq{-2}\)? We don't know that, hence this statement is insufficient.

(2) x < -2. We know noting about g(x). Not sufficient.

(1)+(2) From (1) the question became: is \(x\geq{-2}\)? and (2) answers this question with a NO. Sufficient.

Answer: C.

Hope it's clear.

Hi Bunuel.. I understood Your solution but I have a doubt.

now the question becomes is \((x-3)*(x+2) >= (x-4)*(x+2)\)

if x is not equal to -2 then it will become is x-3 > x-4 so YES if x is equal to -2 then both the sides are equal so YES

So isn't A sufficient ??

The red part is not correct.

If x is not equal to -2, then x+2 could be more (for example, if x=0) as well as less than zero (for example if x=-3).

If x+2 is less than zero, then when reducing \((x-3)*(x+2)\geq{ (x-4)*(x+2)}\) by negative x+2 we should flip the sign and we'll get \(x-3\leq{{x-4}\) --> so the answer is NO.

Re: If f(x) = x^2 - x - 6, is f(x) ≥ g(x)? [#permalink]

Show Tags

15 May 2013, 03:06

Bunuel wrote:

SrinathVangala wrote:

Bunuel wrote:

If f(x) = x^2 - x - 6, is f(x) ≥ g(x)?

(1) g(x) = x^2 - 2x - 8. The question becomes: is \(x^2 - x - 6\geq{x^2 - 2x - 8}\)? --> is \(x\geq{-2}\)? We don't know that, hence this statement is insufficient.

(2) x < -2. We know noting about g(x). Not sufficient.

(1)+(2) From (1) the question became: is \(x\geq{-2}\)? and (2) answers this question with a NO. Sufficient.

Answer: C.

Hope it's clear.

Hi Bunuel.. I understood Your solution but I have a doubt.

now the question becomes is \((x-3)*(x+2) >= (x-4)*(x+2)\)

if x is not equal to -2 then it will become is x-3 > x-4 so YES if x is equal to -2 then both the sides are equal so YES

So isn't A sufficient ??

The red part is not correct.

If x is not equal to -2, then x+2 could be more (for example, if x=0) as well as less than zero (for example if x=-3).

If x+2 is less than zero, then when reducing \((x-3)*(x+2)\geq{ (x-4)*(x+2)}\) by negative x+2 we should flip the sign and we'll get \(x-3\leq{{x-4}\) --> so the answer is NO.

Hope it's clear.

Yes!!!!!!! Awesome!!!! I didn't take into account that we cannot cancel negative numbers on the both sides of a inequality without changing the sign.

All I was thinking about was to avoid the condition where x = -2 so that we cancel the terms.

Thanks a lot!!!! Will remember this!!!!
_________________

"Kudos" will help me a lot!!!!!!Please donate some!!!

Completed Official Quant Review OG - Quant

In Progress Official Verbal Review OG 13th ed MGMAT IR AWA Structure

Yet to do 100 700+ SC questions MR Verbal MR Quant

Re: If f(x) = x^2 - x - 6, is f(x) ≥ g(x)? [#permalink]

Show Tags

30 Aug 2016, 17:01

Hello from the GMAT Club BumpBot!

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.
_________________

Military MBA Acceptance Rate Analysis Transitioning from the military to MBA is a fairly popular path to follow. A little over 4% of MBA applications come from military veterans...

Best Schools for Young MBA Applicants Deciding when to start applying to business school can be a challenge. Salary increases dramatically after an MBA, but schools tend to prefer...

Marty Cagan is founding partner of the Silicon Valley Product Group, a consulting firm that helps companies with their product strategy. Prior to that he held product roles at...