Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 23 Oct 2016, 05:07

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Which of the following inequalities is an algebraic

Author Message
TAGS:

### Hide Tags

Director
Joined: 25 Oct 2008
Posts: 608
Location: Kolkata,India
Followers: 11

Kudos [?]: 721 [0], given: 100

Which of the following inequalities is an algebraic [#permalink]

### Show Tags

11 May 2009, 01:58
2
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

77% (01:34) correct 23% (00:41) wrong based on 372 sessions

### HideShow timer Statistics

Attachment:

number line.png [ 3.24 KiB | Viewed 9087 times ]
Which of the following inequalities is an algebraic expression for the shaded part of the number line above?

(A) |x| <= 3
(B) |x| <= 5
(C) |x - 2| <= 3
(D) |x - 1| <= 4
(E) |x +1| <= 4

OPEN DISCUSSION OF THIS QUESTION IS HERE: which-of-the-following-inequalities-is-an-algebraic-expressi-144267.html
[Reveal] Spoiler: OA

_________________

http://gmatclub.com/forum/countdown-beginshas-ended-85483-40.html#p649902

Last edited by Bunuel on 16 Jun 2014, 00:57, edited 2 times in total.
Renamed the topic and edited the question.
Manager
Joined: 01 Apr 2008
Posts: 145
Schools: Chicago Booth 2011
Followers: 3

Kudos [?]: 29 [1] , given: 6

Re: Which of the following inequalities is an algebraic [#permalink]

### Show Tags

11 May 2009, 02:16
1
KUDOS
x = 4, which is outside of the shaded area, also satisfies b. Therefore you can eliminate b since it applies to the shaded area and then some.
Director
Joined: 27 Jun 2008
Posts: 546
WE 1: Investment Banking - 6yrs
Followers: 2

Kudos [?]: 58 [3] , given: 92

Re: Which of the following inequalities is an algebraic [#permalink]

### Show Tags

11 May 2009, 04:05
3
KUDOS
For mods, you always have to take 2 values

(1)x+1 <=4
>> x <=3

(2) -(x+1) <=4
>> -x-1<=4
>> -x<=5
(multiple by - on both the sides, signs flips)
>> x>=-5

E
Director
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 649
Followers: 41

Kudos [?]: 788 [0], given: 39

Re: Which of the following inequalities is an algebraic [#permalink]

### Show Tags

28 Aug 2010, 08:54
Trial & error i.e., back solving is the best way to solve the problem.
_________________

Collections:-
PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html

Manager
Joined: 05 Oct 2011
Posts: 171
Followers: 9

Kudos [?]: 48 [0], given: 62

Re: Which of the following inequalities is an algebraic [#permalink]

### Show Tags

21 Nov 2011, 10:04
We need to find the center point in the shaded part of the number line.

Here it is easy to identify that -1 is the center point and the region is 4 units from it on either side.

So x is less than 4 units on either side of -1
this gives $$|x+1|<=4$$.

Ans: e
Senior Manager
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 25

Kudos [?]: 401 [1] , given: 11

### Show Tags

04 Dec 2012, 01:35
1
KUDOS
There is a pattern to figuring out absolute value inequalities.

(See image)

The expression in the absolute value sign helps you figure out the center.
For example: |x-3| < 5
This means 3 is at the center of the range.
Mark x = 3+5 = 8
Mark x = 3-5 = -2
The < sign tells us that x is within x={-2,8} range but not inclusive.

Another example: |x+3|>5
This means -3 is at the center of the range.
Mark x = -3+5 = 2
Mark x = -3-5 = -8
The > sign tells us that x is not within but outside range x={2,-8}
Attachments

absvalue.jpg [ 9.6 KiB | Viewed 9044 times ]

_________________

Impossible is nothing to God.

Senior Manager
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 25

Kudos [?]: 401 [0], given: 11

Re: Which of the following inequalities is an algebraic [#permalink]

### Show Tags

04 Dec 2012, 01:45
There is a pattern to solving this question.

1) Get the center of the range
c = (-5 + 3)/2 = -2/2 = -1
2) Flip the sign and append variable x
|x + 1|
3) Get the distance of the center to one end
d = 3-(-1) = 4
4) To decide the sign, we know that the value of x is within range inclusive of both ends. We use "<="

_________________

Impossible is nothing to God.

Math Expert
Joined: 02 Sep 2009
Posts: 35249
Followers: 6628

Kudos [?]: 85425 [6] , given: 10236

Re: Which of the following inequalities is an algebraic [#permalink]

### Show Tags

04 Dec 2012, 03:50
6
KUDOS
Expert's post
1
This post was
BOOKMARKED
tejal777 wrote:
Attachment:
number line.png
Which of the following inequalities is an algebraic expression for the shaded part of the number line above?

(A) |x| <= 3
(B) |x| <= 5
(C) |x - 2| <= 3
(D) |x - 1| <= 4
(E) |x +1| <= 4

From the number line it follows that $$-5\leq{x}\leq{3}$$

(A) |x| <= 3 --> $$-3\leq{x}\leq{3}$$. Discard.

(B) |x| <= 5 --> $$-5\leq{x}\leq{5}$$. Discard.

(C) |x - 2| <= 3 --> $$-3\leq{x-2}\leq{3}$$ --> add 2 to all parts: $$-1\leq{x}\leq{5}$$. Discard.. Discard.

(D) |x - 1| <= 4 --> $$-4\leq{x-1}\leq{4}$$ --> add 1 to all parts: $$-3\leq{x}\leq{5}$$. Discard.. Discard.

(E) |x +1| <= 4 --> $$-4\leq{x+1}\leq{4}$$ --> subtract 1 from all parts: $$-5\leq{x}\leq{3}$$. OK.

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 12185
Followers: 540

Kudos [?]: 151 [0], given: 0

Re: Which of the following inequalities is an algebraic [#permalink]

### Show Tags

07 Dec 2013, 18:49
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.
_________________
Manager
Status: folding sleeves up
Joined: 26 Apr 2013
Posts: 157
Location: India
Concentration: Finance, Strategy
GMAT 1: 530 Q39 V23
GMAT 2: 560 Q42 V26
GPA: 3.5
WE: Consulting (Computer Hardware)
Followers: 1

Kudos [?]: 75 [0], given: 39

Re: Which of the following inequalities is an algebraic [#permalink]

### Show Tags

25 Mar 2014, 13:25
tejal777 wrote:
Attachment:
number line.png
Which of the following inequalities is an algebraic expression for the shaded part of the number line above?

(A) |x| <= 3
(B) |x| <= 5
(C) |x - 2| <= 3
(D) |x - 1| <= 4
(E) |x +1| <= 4

Sol: lets try finding the origin for this graph
(3-(-5)) = 8 units
so total number of points are 9 so the origin must be the 5th point which +1.
only E fits

OPEN DISCUSSION OF THIS QUESTION IS HERE: which-of-the-following-inequalities-is-an-algebraic-expressi-144267.html
Re: Which of the following inequalities is an algebraic   [#permalink] 25 Mar 2014, 13:25
Similar topics Replies Last post
Similar
Topics:
39 Which of the following inequalities is an algebraic expressi 8 17 Dec 2012, 06:54
30 Which of the following inequalities has a solution set that 11 19 Feb 2012, 20:57
28 Which of the following inequalities has a solution set, when 12 03 Jan 2011, 07:06
Which of the following inequalities... 11 02 May 2010, 21:39
4 Which of the following inequalities has a solution set that, 9 18 Aug 2008, 13:21
Display posts from previous: Sort by