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

It is currently 20 Jun 2019, 12:26

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

Which of the following inequalities is an algebraic

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Senior Manager
Senior Manager
User avatar
Joined: 25 Oct 2008
Posts: 493
Location: Kolkata,India
Which of the following inequalities is an algebraic  [#permalink]

Show Tags

New post Updated on: 16 Jun 2014, 00:57
1
4
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

82% (00:36) correct 18% (00:39) wrong based on 566 sessions

HideShow timer Statistics

Attachment:
number line.png
number line.png [ 3.24 KiB | Viewed 17306 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

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

Originally posted by tejal777 on 11 May 2009, 01:58.
Last edited by Bunuel on 16 Jun 2014, 00:57, edited 2 times in total.
Renamed the topic and edited the question.
Manager
Manager
User avatar
Joined: 01 Apr 2008
Posts: 142
Schools: Chicago Booth 2011
Re: Which of the following inequalities is an algebraic  [#permalink]

Show Tags

New post 11 May 2009, 02:16
1
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.
Senior Manager
Senior Manager
User avatar
Joined: 27 Jun 2008
Posts: 471
WE 1: Investment Banking - 6yrs
Re: Which of the following inequalities is an algebraic  [#permalink]

Show Tags

New post 11 May 2009, 04:05
5
1
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
Senior Manager
Senior Manager
User avatar
B
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 490
Re: Which of the following inequalities is an algebraic  [#permalink]

Show Tags

New post 28 Aug 2010, 08:54
Trial & error i.e., back solving is the best way to solve the problem.
_________________
Manager
Manager
avatar
Joined: 05 Oct 2011
Posts: 157
GMAT ToolKit User Reviews Badge
Re: Which of the following inequalities is an algebraic  [#permalink]

Show Tags

New post 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
Senior Manager
User avatar
Joined: 13 Aug 2012
Posts: 416
Concentration: Marketing, Finance
GPA: 3.23
GMAT ToolKit User
Re: Inequalities question  [#permalink]

Show Tags

New post 04 Dec 2012, 01:35
1
1
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
absvalue.jpg [ 9.6 KiB | Viewed 17219 times ]


_________________
Impossible is nothing to God.
Senior Manager
Senior Manager
User avatar
Joined: 13 Aug 2012
Posts: 416
Concentration: Marketing, Finance
GPA: 3.23
GMAT ToolKit User
Re: Which of the following inequalities is an algebraic  [#permalink]

Show Tags

New post 04 Dec 2012, 01:45
1
1
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 "<="

Answer: |x+1| <= 4
_________________
Impossible is nothing to God.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55732
Re: Which of the following inequalities is an algebraic  [#permalink]

Show Tags

New post 04 Dec 2012, 03:50
10
4
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.

Answer: E.
_________________
Manager
Manager
User avatar
Status: folding sleeves up
Joined: 26 Apr 2013
Posts: 129
Location: India
Concentration: Finance, Strategy
GMAT 1: 530 Q39 V23
GMAT 2: 560 Q42 V26
GPA: 3.5
WE: Consulting (Computer Hardware)
Re: Which of the following inequalities is an algebraic  [#permalink]

Show Tags

New post 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
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 11399
Re: Which of the following inequalities is an algebraic  [#permalink]

Show Tags

New post 24 Aug 2018, 00:37
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 Club Bot
Re: Which of the following inequalities is an algebraic   [#permalink] 24 Aug 2018, 00:37
Display posts from previous: Sort by

Which of the following inequalities is an algebraic

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


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