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.

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:

Re: What range of values of x will satisfy the inequality contd. [#permalink]
27 Apr 2014, 13:15

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. _________________

Thanks for the answer. I did not understand how are the roots -1/9 and 1. I am getting the roots as 9 and 1. Can you please elaborate.

(x+\frac{1}{9})(x-1)=0 --> x+\frac{1}{9}=0 or x-1=0 --> x=-\frac{1}{9} or x=1.[/quote]

That part is fine , i'm solving the quadratic equation 9x^2-8x-1 < 0 as (x-9)(x+1) then getting x = 9 , x = -1. I also check out your link for solving quadratic equations in equalities but could relate it.

Thanks for the answer. I did not understand how are the roots -1/9 and 1. I am getting the roots as 9 and 1. Can you please elaborate.

(x+\frac{1}{9})(x-1)=0 --> x+\frac{1}{9}=0 or x-1=0 --> x=-\frac{1}{9} or x=1.

That part is fine , i'm solving the quadratic equation 9x^2-8x-1 < 0 as (x-9)(x+1) then getting x = 9 , x = -1. I also check out your link for solving quadratic equations in equalities but could relate it.[/quote]

(x-9)(x+1) is not a correct factoring of 9x^2-8x-1, it should be (x+\frac{1}{9})(x-1) ((9x+1)(x-1)).

Hence C you can use whichever you are comfortable with.

Hi Bunuel, Thanks for the solution! I get the squaring both sides approach, but it takes over 3 minutes for me to do it that way. Is there a faster way to solve this?

I noticed Amit provided another method, but I'm not sure I understand the first approach completely. Could you explain why he used the "-" sign in the first and third parts (highlighted in blue above)?

how how we solve inequality which is negative?? whenever we see absolute values on each side of the sign... should we use the squaring approach?? _________________

Hope to clear it this time!! GMAT 1: 540 Preparing again

how how we solve inequality which is negative?? whenever we see absolute values on each side of the sign... should we use the squaring approach??

We can raise both parts of an inequality to an even power if we know that both parts of an inequality are non-negative (the same for taking an even root of both sides of an inequality)

Hence C you can use whichever you are comfortable with.

Hi Amit, can you explain how to get the range -1/9 < x < 1 in the second method the solutions are x< 1 and x < -1/9 (how does the sign reverse to the other side ?)

gmatclubot

Re: What range of values of x will satisfy the inequality contd.
[#permalink]
18 Jun 2014, 05:15

It’s been a long time, since I posted. A busy schedule at office and the GMAT preparation, fully tied up with all my free hours. Anyways, now I’m back...

Burritos. Great, engaging session about how to network properly. How better can it get? Hosted jointly by Human Capital Club and Engineers in Management, we had a chance to...