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

It is currently 18 Jan 2019, 22:48

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
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
  • FREE Quant Workshop by e-GMAT!

     January 20, 2019

     January 20, 2019

     07:00 AM PST

     07:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

4 < x^2 + 2x + 1 < 16

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

Hide Tags

 
Intern
Intern
User avatar
S
Joined: 26 Feb 2017
Posts: 30
Location: Brazil
GMAT 1: 610 Q45 V28
GPA: 3.11
Premium Member
4 < x^2 + 2x + 1 < 16  [#permalink]

Show Tags

New post 23 Oct 2017, 17:25
1
8
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

54% (01:56) correct 46% (01:57) wrong based on 245 sessions

HideShow timer Statistics

How many integers satisfy this inequality?
4 < x^2 + 2x + 1 < 16

A - 4
B - 3
C - 2
D - 1
E - 0
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7202
4 < x^2 + 2x + 1 < 16  [#permalink]

Show Tags

New post 23 Oct 2017, 19:07
vitorpteixeira wrote:
How many integers satisfy this inequality?
4 < x^2 + 2x + 1 < 16

A - 4
B - 3
C - 2
D - 1
E - 0



hi..

so lets solve the equation..
\(4 < x^2 + 2x + 1 < 16......4<(x+1)^2<16......\)
we are looking for integer values..
(x+1) can take two values (x+1)=3 or x+1=-3......
so x=3-1=2 and x=-3-1=-4

so two values : 2 and -4
C
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Senior Manager
Senior Manager
avatar
G
Joined: 02 Apr 2014
Posts: 474
GMAT 1: 700 Q50 V34
Re: 4 < x^2 + 2x + 1 < 16  [#permalink]

Show Tags

New post 27 Jan 2018, 01:42
4 < \(x^2 + 2x + 1\) < 16
4 < \((x+1)^2\) < 16
taking square root,
2 < |x+1| < 4

if x > -1, then |x+1| = x + 1
2 < x+1 < 4 => only x = 2 satisfies

if x < -1, then |x+1| = -x - 1
2 < -x - 1 < 4 => 3 < -x < 5 => only x = -4 satisfies

so two possible integers of x {2,-4} => (C)
GMAT Club Bot
Re: 4 < x^2 + 2x + 1 < 16 &nbs [#permalink] 27 Jan 2018, 01:42
Display posts from previous: Sort by

4 < x^2 + 2x + 1 < 16

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


Copyright

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®.