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

It is currently 21 Nov 2018, 04:54

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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

     November 22, 2018

     November 22, 2018

     10:00 PM PST

     11:00 PM PST

    Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
  • Free lesson on number properties

     November 23, 2018

     November 23, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

What is the range of the solutions to the equation |2x − 3| = 7?

  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: 50729
What is the range of the solutions to the equation |2x − 3| = 7?  [#permalink]

Show Tags

New post 16 Apr 2018, 04:14
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

69% (00:49) correct 31% (00:54) wrong based on 221 sessions

HideShow timer Statistics

examPAL Representative
User avatar
G
Joined: 07 Dec 2017
Posts: 810
Re: What is the range of the solutions to the equation |2x − 3| = 7?  [#permalink]

Show Tags

New post 16 Apr 2018, 06:37
2
1
Bunuel wrote:
What is the range of the solutions to the equation |2x − 3| = 7?

A. 4
B. 5
C. 6
D. 7
E. 8


We'll simplify the problem stem to understand what we need to do.
This is a Precise approach.

By definition of the absolute value, the expression |2x - 3| = 7 simplifies to 2x - 3 = 7 if 2x - 3 is positive or to 3 - 2x = 7 if 2x - 3 is negative.
In the first case, we can solve for x to get x = 5.
In the second case, solving for x gives -2.
Then our range is 5 - (-2) = 7.

(D) is our answer.
_________________

Image
Sign up for 7-day free trial
Image

I am a CR Expert - Ask Me ANYTHING about CR
I am a DS Expert - Ask Me ANYTHING about DS

The best DEAL of the year has finally arrived! Save up to $320 on your GMAT course.

Expires on Nov 24th.
Image

Senior Manager
Senior Manager
User avatar
G
Joined: 29 Dec 2017
Posts: 388
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33
GMAT 2: 690 Q47 V37
GMAT 3: 710 Q50 V37
GPA: 3.25
WE: Marketing (Telecommunications)
Re: What is the range of the solutions to the equation |2x − 3| = 7?  [#permalink]

Show Tags

New post 16 Apr 2018, 08:50
DavidTutorexamPAL wrote:
Bunuel wrote:
What is the range of the solutions to the equation |2x − 3| = 7?

A. 4
B. 5
C. 6
D. 7
E. 8


We'll simplify the problem stem to understand what we need to do.
This is a Precise approach.

By definition of the absolute value, the expression |2x - 3| = 7 simplifies to 2x - 3 = 7 if 2x - 3 is positive or to 3 - 2x = 7 if 2x - 3 is negative.
In the first case, we can solve for x to get x = 5.
In the second case, solving for x gives -2.
Then our range is 5 - (-2) = 7.

(D) is our answer.


Should we check x as we have to do it in inequalities? Or we have to check when we have more than 1 module? Thanks
examPAL Representative
User avatar
G
Joined: 07 Dec 2017
Posts: 810
Re: What is the range of the solutions to the equation |2x − 3| = 7?  [#permalink]

Show Tags

New post 16 Apr 2018, 11:36
Hero8888 wrote:
Should we check x as we have to do it in inequalities? Or we have to check when we have more than 1 module? Thanks


Hi,

Do you mean check the result of x in the original equation?
Yes, if you have the time you can check that x = 5 and x = -2 solve the equation to make sure that you didn't make a calculation mistake.
But you don't have to.... it is partially a question of time and partially that of self-confidence: how sure are you in your result.

Does that answer your question? If not, don't hesitate to ask again.

Best of luck,
David
_________________

Image
Sign up for 7-day free trial
Image

I am a CR Expert - Ask Me ANYTHING about CR
I am a DS Expert - Ask Me ANYTHING about DS

The best DEAL of the year has finally arrived! Save up to $320 on your GMAT course.

Expires on Nov 24th.
Image

Senior Manager
Senior Manager
User avatar
G
Joined: 29 Dec 2017
Posts: 388
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33
GMAT 2: 690 Q47 V37
GMAT 3: 710 Q50 V37
GPA: 3.25
WE: Marketing (Telecommunications)
Re: What is the range of the solutions to the equation |2x − 3| = 7?  [#permalink]

Show Tags

New post 16 Apr 2018, 13:03
DavidTutorexamPAL wrote:
Hero8888 wrote:
Should we check x as we have to do it in inequalities? Or we have to check when we have more than 1 module? Thanks


Hi,

Do you mean check the result of x in the original equation?
Yes, if you have the time you can check that x = 5 and x = -2 solve the equation to make sure that you didn't make a calculation mistake.
But you don't have to.... it is partially a question of time and partially that of self-confidence: how sure are you in your result.

Does that answer your question? If not, don't hesitate to ask again.

Best of luck,
David


Thank you for the answer. I meant that in inequalities we check x, when we solve module problems. Should we check it in equalities or we don't have constraints?
examPAL Representative
User avatar
G
Joined: 07 Dec 2017
Posts: 810
Re: What is the range of the solutions to the equation |2x − 3| = 7?  [#permalink]

Show Tags

New post 16 Apr 2018, 13:24
1
Hero8888 wrote:
DavidTutorexamPAL wrote:
Hero8888 wrote:
Should we check x as we have to do it in inequalities? Or we have to check when we have more than 1 module? Thanks


Hi,

Do you mean check the result of x in the original equation?
Yes, if you have the time you can check that x = 5 and x = -2 solve the equation to make sure that you didn't make a calculation mistake.
But you don't have to.... it is partially a question of time and partially that of self-confidence: how sure are you in your result.

Does that answer your question? If not, don't hesitate to ask again.

Best of luck,
David


Thank you for the answer. I meant that in inequalities we check x, when we solve module problems. Should we check it in equalities or we don't have constraints?


The only constraint in an equality is the 'equal' sign (and anything else that the question tells you like integers/positive/negative etc.)
So if you've found a solution and you're confident there are no calculation mistakes there is no need to check.
_________________

Image
Sign up for 7-day free trial
Image

I am a CR Expert - Ask Me ANYTHING about CR
I am a DS Expert - Ask Me ANYTHING about DS

The best DEAL of the year has finally arrived! Save up to $320 on your GMAT course.

Expires on Nov 24th.
Image

Manager
Manager
avatar
B
Joined: 29 Jul 2018
Posts: 96
Concentration: Finance, Statistics
GMAT ToolKit User CAT Tests
Re: What is the range of the solutions to the equation |2x − 3| = 7?  [#permalink]

Show Tags

New post 28 Aug 2018, 22:16
|2x - 3| = 7
|x - 3/2| = 7/2
origin = 3/2
to find range
add origin and 7/2 = 10/2= 5
and subtract 3/2-7/2 = -4/2 = -2
range = 5 - (-2) = 7
Director
Director
User avatar
G
Joined: 20 Feb 2015
Posts: 796
Concentration: Strategy, General Management
Premium Member
Re: What is the range of the solutions to the equation |2x − 3| = 7?  [#permalink]

Show Tags

New post 01 Sep 2018, 22:53
Bunuel wrote:
What is the range of the solutions to the equation |2x − 3| = 7?

A. 4
B. 5
C. 6
D. 7
E. 8



|2x − 3| = 7
max => 2x-3=7, x=5
min => 2x-3=-7,x=-2
Range = max - min = 5-(-2) = 7
Senior Manager
Senior Manager
avatar
P
Joined: 31 Jul 2017
Posts: 496
Location: Malaysia
Schools: INSEAD Jan '19
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
Re: What is the range of the solutions to the equation |2x − 3| = 7?  [#permalink]

Show Tags

New post 02 Sep 2018, 00:04
Bunuel wrote:
What is the range of the solutions to the equation |2x − 3| = 7?

A. 4
B. 5
C. 6
D. 7
E. 8


2x - 3 =7, x = 5
-2x+3 = 7, x = -2

Range = 7
_________________

If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !!

Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: What is the range of the solutions to the equation |2x − 3| = 7?  [#permalink]

Show Tags

New post 03 Sep 2018, 18:05
Bunuel wrote:
What is the range of the solutions to the equation |2x − 3| = 7?

A. 4
B. 5
C. 6
D. 7
E. 8


Let’s first solve for when (2x - 3) is positive:

2x - 3 = 7

2x = 10

x = 5

Now let’s solve for when (2x - 3) is negative:

-(2x - 3) = 7

-2x + 3 = 7

-2x = 4

x = -2

Therefore, the range of the solutions is 5 - (-2) = 7.

Answer: D
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: What is the range of the solutions to the equation |2x − 3| = 7? &nbs [#permalink] 03 Sep 2018, 18:05
Display posts from previous: Sort by

What is the range of the solutions to the equation |2x − 3| = 7?

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


cron
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®.