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

It is currently 14 Dec 2018, 04:27

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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar

Which of the following inequalities is equivalent to −4 < x < 8?

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51214
Which of the following inequalities is equivalent to −4 < x < 8?  [#permalink]

Show Tags

New post 22 Aug 2016, 01:59
1
4
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

78% (01:02) correct 22% (01:16) wrong based on 340 sessions

HideShow timer Statistics

Current Student
avatar
Joined: 09 Jul 2016
Posts: 25
Re: Which of the following inequalities is equivalent to −4 < x < 8?  [#permalink]

Show Tags

New post 22 Aug 2016, 02:45
We know that |x| < a means -a < x < a, where Sum of lower limit of x (i.e -a) and the upper limit of x (i.e a), is 0

Given is, -4 < x < 8, let's say by adding y to this inequality we will get into the above format

-4+y < x+y < 8+y

Now, to move this into the mod format, we need to have (-4+y) + (8+y) = 0 => y = -2

Thus, -6< x-2 < 6 => |x-2| < 6.

Hence, answer is D
Senior Manager
Senior Manager
avatar
Joined: 23 Apr 2015
Posts: 305
Location: United States
Concentration: General Management, International Business
WE: Engineering (Consulting)
Re: Which of the following inequalities is equivalent to −4 < x < 8?  [#permalink]

Show Tags

New post 22 Aug 2016, 19:28
1
Bunuel wrote:
Which of the following inequalities is equivalent to −4 < x < 8?

A. |x - 1| < 7
B. |x + 2| < 6
C. |x + 3| < 5
D. |x - 2| < 6
E. None of the above



Given −4 < x < 8,
Now try to get into the mod form,
subtract two from both sides of the equation, (graphically the line remains the same)

-4 -2 < x-2 < 8-2 => -6 < x-2 < 6 and this is same as | x-2 | < 6, which is D



+1 for kudos
Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8677
Location: Pune, India
Re: Which of the following inequalities is equivalent to −4 < x < 8?  [#permalink]

Show Tags

New post 22 Aug 2016, 20:59
1
2
Bunuel wrote:
Which of the following inequalities is equivalent to −4 < x < 8?

A. |x - 1| < 7
B. |x + 2| < 6
C. |x + 3| < 5
D. |x - 2| < 6
E. None of the above


|x - a| = b

x is a distance 'b' away from 'a' on either side on the number line.

-4 < x < 8
Mid point of -4 and 8 is 2. Both -4 and 8 are 6 away from 2.
So the absolute value form will be |x - 2| < 6

For more, check: http://www.veritasprep.com/blog/2011/01 ... edore-did/
_________________

Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9159
Premium Member
Re: Which of the following inequalities is equivalent to −4 < x < 8?  [#permalink]

Show Tags

New post 19 Feb 2018, 11:33
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: Which of the following inequalities is equivalent to −4 < x < 8? &nbs [#permalink] 19 Feb 2018, 11:33
Display posts from previous: Sort by

Which of the following inequalities is equivalent to −4 < x < 8?

  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®.