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

It is currently 20 Jun 2019, 13:14

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

If |x - 7| > 56, what is the range of x?

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

Hide Tags

 
e-GMAT Representative
User avatar
D
Joined: 04 Jan 2015
Posts: 2892
If |x - 7| > 56, what is the range of x?  [#permalink]

Show Tags

New post Updated on: 13 Sep 2018, 08:19
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

67% (01:04) correct 33% (01:02) wrong based on 233 sessions

HideShow timer Statistics

Different methods to solve absolute value equations and inequalities- Exercise Question #4

If |x - 7| > 56, what is the range of x?

Options

    a) (-56, 56)
    b) (-63, 63)
    c) (-49, 63)
    d) (-∞, -49) ⋃ (63, ∞)
    e) (-∞, -56) ⋃ (56, ∞)

Previous Question | Next Question


To read the article: Different methods to solve absolute value equations and inequalities

Image

_________________

Originally posted by EgmatQuantExpert on 13 Sep 2018, 03:07.
Last edited by EgmatQuantExpert on 13 Sep 2018, 08:19, edited 2 times in total.
e-GMAT Representative
User avatar
D
Joined: 04 Jan 2015
Posts: 2892
If |x - 7| > 56, what is the range of x?  [#permalink]

Show Tags

New post Updated on: 17 Sep 2018, 04:01

Solution


Given:
    • We are given an absolute value inequality, |x - 7| > 56
    • Note that we do not have any constraint on x. So, x can be an integer or a decimal

To find:
    • We need to find the range of values of x, that satisfies the given inequality

Approach and Working:
    • We know that, the range of x, for |x| > a, is x < -a ⋃ x > a
    • So, the range of x, for |x - 7| > 56, is
      o x – 7 < -56 ⋃ x - 7 > 56
      o Implies, x < -49 ⋃ x > 63
    • Therefore, the range of values of x, that satisfies the inequality, |x - 7| > 56, is (-∞, -49) ⋃ (63, ∞)

Hence, the correct answer is option D.

Answer: D

Image

_________________

Originally posted by EgmatQuantExpert on 13 Sep 2018, 03:12.
Last edited by EgmatQuantExpert on 17 Sep 2018, 04:01, edited 1 time in total.
VP
VP
User avatar
P
Joined: 31 Oct 2013
Posts: 1375
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If |x - 7| > 56, what is the range of x?  [#permalink]

Show Tags

New post 13 Sep 2018, 04:02
Since this question is designed based on absolute value , we have to asses both negative and positive aspects of x.

1. when x is positive:

x - 7> 49

x > 63

2. when x is negative :

- x + 7 > 56

x< -49.

So, -49<x<63.

The best answer is C.
Manager
Manager
User avatar
G
Joined: 07 Aug 2018
Posts: 110
Location: United States (MA)
GMAT 1: 560 Q39 V28
GMAT 2: 670 Q48 V34
Re: If |x - 7| > 56, what is the range of x?  [#permalink]

Show Tags

New post 13 Sep 2018, 09:13
selim wrote:
Since this question is designed based on absolute value , we have to asses both negative and positive aspects of x.

1. when x is positive:

x - 7> 49

x > 63

2. when x is negative :

- x + 7 > 56

x< -49.

So, -49<x<63.

The best answer is C.


Shouldn't it be x<-49 and x>63? So D is the answer
_________________
Manager
Manager
User avatar
S
Joined: 16 Mar 2017
Posts: 56
Location: France
Concentration: Marketing, Strategy
GMAT 1: 640 Q38 V40
GMAT 2: 710 Q47 V41
WE: Marketing (Retail)
Re: If |x - 7| > 56, what is the range of x?  [#permalink]

Show Tags

New post 13 Sep 2018, 11:28
selim wrote:
Since this question is designed based on absolute value , we have to asses both negative and positive aspects of x.

1. when x is positive:

x - 7> 49

x > 63

2. when x is negative :

- x + 7 > 56

x< -49.

So, -49<x<63.

The best answer is C.


Because the inequality sign point to the right we know that the answer will be in the "or" form, hence A, B and C are out.
Now solve for the two cases :
x-7>56 --> x>63
x-7<-56 (do not forget to switch the sign for the negative case) --> x<-49

Answer D
_________________
Intern
Intern
avatar
B
Joined: 08 Apr 2018
Posts: 16
Re: If |x - 7| > 56, what is the range of x?  [#permalink]

Show Tags

New post 14 Sep 2018, 06:57
'D' it is, (-∞, -49) ⋃ (63, ∞)
GMAT Club Bot
Re: If |x - 7| > 56, what is the range of x?   [#permalink] 14 Sep 2018, 06:57
Display posts from previous: Sort by

If |x - 7| > 56, what is the range of x?

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


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