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 350,000 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:

Re: Find the solution set for the following inequality -2|3-2x| [#permalink]
14 Mar 2012, 12:03

3

This post received KUDOS

Expert's post

NYC5648 wrote:

Hi everybody,

can please s.o. help me with this question?

Many thanks

Find the solution set for the following inequality -2|3-2x| < 14?

Is it: -2*|3-2x|<14? If yes, then -2*|3-2x|=negative*nonnegative=nonpositive, which is ALWAYS less than positive number 14. So this inequality holds true for any x. _________________

Re: Find the solution set for the following inequality -2|3-2x| [#permalink]
15 Mar 2012, 00:48

1

This post received KUDOS

Expert's post

optimisttageja wrote:

|3-2x| can have two possible solns, either it is (3-2x) or -(3-2x) so wr can solve this ques as

-2*(3-2x)<14 => x<5 or -2*-(3-2x)<14 => x>-4

combining above two

-4<x<5 is the solution.

Posted from my mobile device

Sometimes it's a good idea to check whether your solution is correct by plug-in method. So, plug x=10 or x=-10 and see whether the inequality holds true.

Re: Find the solution set for the following inequality -2|3-2x| [#permalink]
16 Mar 2012, 03:27

1

This post received KUDOS

Expert's post

shankar245 wrote:

Hi Buneul, Why cant we do as we do normally as in take a positive solution , then a negative solution?

x<5 x>-2

What am i doing wrong here?

If you do it properly you'll get the same answer. But you don't need that.

Consider this: -2*|3-2x|<14 --> reduce by negative -2 and flip the sign: |3-2x|>-7 --> LHS is an absolute value, which is always nonnegative, so |3-2x| will always be more than negative -7, so it'll be more for all values of x.

Re: Find the solution set for the following inequality -2|3-2x| [#permalink]
17 Mar 2012, 06:53

Expert's post

BN1989 wrote:

I have a general question.

If I have an inequality with an absolute value expression, why can't I simplify the absolute value expression.

First I can devide by -2, which gives me |3-2x|>-7

Now why can't I check the two cases for the absolute value expression that I have to check when absolute value expression are in equalities?

Please read my responses above: YOU DO NOT NEED TO DO THAT, since LHS is an absolute value then it's ALWAYS more than negative number -7, so it'll be more for ALL values of x. _________________

Re: Find the solution set for the following inequality -2|3-2x| [#permalink]
05 Nov 2014, 07:10

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. _________________

When I wrote this original post exactly nine months ago I had no idea how things would work out and more than a little self-doubt. I was still depressed and...

YESSSSS!!!! Yesterday Duke beat Gonzaga, 52-66, and qualified for the final four!!! (what we would call semifinals in the rest of the world). For those who don’t...