GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 16 Jul 2018, 20:46

Close

GMAT Club Daily Prep

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.

Close

Request Expert Reply

Confirm Cancel

Wavy Line Method Application - Exercise Question #5

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
e-GMAT Representative
User avatar
G
Joined: 04 Jan 2015
Posts: 1755
Wavy Line Method Application - Exercise Question #5 [#permalink]

Show Tags

New post 26 Aug 2016, 02:43
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (01:10) correct 0% (00:00) wrong based on 19 sessions

HideShow timer Statistics

Wavy Line Method Application - Exercise Question #5


Find the range of values of x that satisfy the inequality \(\frac{(x^2-4)}{(x-5)(x^2-9)} < 0\)




Wavy Line Method Application has been explained in detail in the following post:: http://gmatclub.com/forum/wavy-line-method-application-complex-algebraic-inequalities-224319.html


Detailed solution will be posted soon.
_________________







Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Board of Directors
User avatar
V
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3686
Premium Member Reviews Badge CAT Tests
Re: Wavy Line Method Application - Exercise Question #5 [#permalink]

Show Tags

New post 26 Aug 2016, 10:10
EgmatQuantExpert wrote:
Wavy Line Method Application - Exercise Question #5


Find the range of values of x that satisfy the inequality \(\frac{(x^2-4)}{(x-5)(x^2-9)} < 0\)




Wavy Line Method Application has been explained in detail in the following post:: http://gmatclub.com/forum/wavy-line-method-application-complex-algebraic-inequalities-224319.html


Detailed solution will be posted soon.


Inequality is \(\frac{(x^2-4)}{(x-5)(x^2-9)} < 0\)

it can be written as \(\frac{(x-2)(x+2)}{(x-5)(x-3)(x+3)} < 0\)

So, we have the Zero pints of x as -3,-2,2,3 and 5

But We cannot have x = -3,3 or 5.

So, when drawing these values on the number line, we will get the range of x as

(-infinity,-3)U(-2,2)U(3,5)

Please correct me if I am missing anything.
_________________

My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub | Importance of an Error Log!
Verbal Resources: All SC Resources at one place | All CR Resources at one place
Blog: Subscribe to Question of the Day Blog

GMAT Club Inbuilt Error Log Functionality - View More.
New Visa Forum - Ask all your Visa Related Questions - here.

New! Best Reply Functionality on GMAT Club!



Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free

Expert Post
e-GMAT Representative
User avatar
G
Joined: 04 Jan 2015
Posts: 1755
Re: Wavy Line Method Application - Exercise Question #5 [#permalink]

Show Tags

New post 18 Nov 2016, 03:22
1
1
Solution:

Hey Everyone,

Please find below the solution of the given problem.

Rewriting the inequality to easily identify the zero points

We know that \((x^2 – 4) = (x+2)(x-2)\)

And similarly, \((x^2-9) = (x+3)(x-3)\)

So, the given inequality can be written as:

\((x+2)(x-2)/(x – 5)(x+3)(x-3)<0\)

Plotting the zero points and drawing the wavy line:

Image

Required Range:

x < -3 or -2 < x < 2 or 3 < x < 5

Correct Answer: Option D
_________________







Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Manager
Manager
avatar
S
Joined: 16 Oct 2015
Posts: 73
Location: India
Concentration: Technology, General Management
Schools: ISB '19, IIMA , IIMB, IIMC
GMAT 1: 520 Q44 V17
GMAT 2: 530 Q44 V20
GMAT 3: 710 Q48 V40
GPA: 3.45
WE: Research (Energy and Utilities)
Reviews Badge CAT Tests
Re: Wavy Line Method Application - Exercise Question #5 [#permalink]

Show Tags

New post 09 Apr 2017, 23:52
What are answer choices ? I cannot see any of them
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47020
Re: Wavy Line Method Application - Exercise Question #5 [#permalink]

Show Tags

New post 09 Apr 2017, 23:56
BSchool Forum Moderator
User avatar
D
Joined: 12 Aug 2015
Posts: 2646
GRE 1: Q169 V154
GMAT ToolKit User Premium Member
Wavy Line Method Application - Exercise Question #5 [#permalink]

Show Tags

New post 10 Apr 2017, 00:40
Here is what i did in this question==>

Critical points => Equate the numerator and denominator terms to zero and obtain the critical points.

In here => x^2-4=0 => x=2 and x=-2
Also x-5=0 => x=5
And finally x^2-9=0=> x=3 and x=-3

Critical points => -3,-2,2,3,5

Now mark these on the number line and pick up a number in each boundary.
If the value makes the original inequality true => Pick that boundary else discard

=> x=> (-∞,-3)U(-2,2)U(3,5)


Personal Opinion-> This question might be good for practise but is most certainly not a GMAT like Question.


The wavy figure that is attached above makes it look scary.In reality we don't need that crazy figure.
Just plug in numbers in a simple plain straight line by marking the critical points.

_________________


MBA Financing:- INDIAN PUBLIC BANKS vs PRODIGY FINANCE!

Getting into HOLLYWOOD with an MBA!

The MOST AFFORDABLE MBA programs!

STONECOLD's BRUTAL Mock Tests for GMAT-Quant(700+)

AVERAGE GRE Scores At The Top Business Schools!

Director
Director
avatar
G
Joined: 02 Sep 2016
Posts: 742
Premium Member
Re: Wavy Line Method Application - Exercise Question #5 [#permalink]

Show Tags

New post 31 Jul 2017, 02:42
Does the range include 2 and -2 because the points are not circled on the number line like other points?
_________________

Help me make my explanation better by providing a logical feedback.

If you liked the post, HIT KUDOS !!

Don't quit.............Do it.

Manager
Manager
avatar
B
Joined: 20 Aug 2015
Posts: 96
Location: India
GMAT 1: 710 Q50 V36
GPA: 3
GMAT ToolKit User
Re: Wavy Line Method Application - Exercise Question #5 [#permalink]

Show Tags

New post 05 Aug 2017, 09:35
Shiv2016 wrote:
Does the range include 2 and -2 because the points are not circled on the number line like other points?


The range would have included any of the critical points -3, -2, 2, 3 and 5 if the equation read \(\frac{(x^2-4)}{(x-5)(x^2-9)} <= 0\) (notice the equal sign at the right)

So, to answer your question, it doesn't include 2 and -2.
Re: Wavy Line Method Application - Exercise Question #5   [#permalink] 05 Aug 2017, 09:35
Display posts from previous: Sort by

Wavy Line Method Application - Exercise Question #5

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.