Last visit was: 14 Sep 2026, 03:25 It is currently 14 Sep 2026, 03:25
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
avatar
TheUltimateWinner
avatar
Schools: Harvard '24 Judge '23 LBS '24 McCombs '24 Mendoza Tepper '24 Ross '24 Cox Marshall '24 Fisher Kelley '24 Jones McDonough '24 Owen '24 Terry BU Simon '24 Katz GWU Mason Babson Gabelli Foster '24 Goizueta '24 Scheller Stern '23 CBS '23 Booth '23 Haas '25 Wharton '25 Stanford '26 Johnson'23 Fuqua '23 Kellogg '23 Kenan-Flagler'23 INSEAD Aug 22 intake Olin '23 Said '23 Sloan '23 Carey Arizona "22 Yale '23 UC Davis Madison '23 Anderson '23 Carroll Carlson '23 Darden '23
Posts: 2,464
Kudos: 2,510
 [23]
What values of x will satisfy the following inequality? |x-3|> |x|-3 26 Oct 2019, 10:24
2
Kudos
Add Kudos
21
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

65% (hard)

Question Stats:

57% (02:03) correct 43% (02:00) wrong based on 345 sessions

History

Date
Time
Result
Not Attempted Yet
What values of x will satisfy the following inequality?
\(|x-3|> |x|-3\)

A. x∈ (-∞, 3)
B. x∈ (-3, 3)
C. x∈ (-∞, -3)
D. x∈ (∞, 3)
E. x∈ (-∞, -3) ∪ (3, ∞)
ShowHide Answer
Official Answer
A
Most Helpful Reply
User avatar
satya2029
User avatar
Joined: 10 Dec 2017
Last visit: 29 Sep 2025
Posts: 229
Own Kudos:
259
 [6]
Given Kudos: 138
Location: India
Posts: 229
Kudos: 259
 [6]
What values of x will satisfy the following inequality? |x-3|> |x|-3 26 Oct 2019, 11:47
4
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Asad
What values of x will satisfy the following inequality?
\(|x-3|> |x|-3\)

A. x∈ (-∞, 3)
B. x∈ (-3, 3)
C. x∈ (-∞, -3)
D. x∈ (∞, 3)
E. x∈ (-∞, -3) ∪ (3, ∞)
Show more

Posted from my mobile device

Kindly correct choice D
Attachments

IMG_20191027_000417__01.jpg
IMG_20191027_000417__01.jpg [ 1.67 MiB | Viewed 5509 times ]

General Discussion
User avatar
TestPrepUnlimited
User avatar
Joined: 17 Sep 2014
Last visit: 30 Jun 2022
Posts: 1,221
Own Kudos:
1,158
 [1]
Given Kudos: 6
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Expert
Expert reply
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Posts: 1,221
Kudos: 1,158
 [1]
What values of x will satisfy the following inequality? |x-3|> |x|-3 29 Dec 2020, 17:06
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
TheUltimateWinner
What values of x will satisfy the following inequality?
\(|x-3|> |x|-3\)

A. x∈ (-∞, 3)
B. x∈ (-3, 3)
C. x∈ (-∞, -3)
D. x∈ (∞, 3)
E. x∈ (-∞, -3) ∪ (3, ∞)
Show more

We can pick a value from each interval and see which of them satisfy. The answers all belong to one or more of the following intervals:
(1) (-∞, -3). Try -5, we get \(|-8| > 5 - 3\) and \(8 > 2\) which is true.
(2) (-3, 3). Try 0, we get \(|-3| > -3\) and \(3 > -3\) which is true.
(3) (3, ∞). Try 5, we get \(|2| > 5 - 3\) and \(2 > 2\) which is false.

Thus both (1) and (2) are correct, combining their intervals we get (-∞, 3) which is A

Ans: A
User avatar
ManyataM
User avatar
Joined: 27 Apr 2020
Last visit: 12 Jun 2021
Posts: 94
Own Kudos:
27
Given Kudos: 23
Posts: 94
Kudos: 27
What values of x will satisfy the following inequality? |x-3|> |x|-3 27 Mar 2021, 10:46
Kudos
Add Kudos
Bookmarks
Bookmark this Post
TheUltimateWinner
What values of x will satisfy the following inequality?
\(|x-3|> |x|-3\)

A. x∈ (-∞, 3)
B. x∈ (-3, 3)
C. x∈ (-∞, -3)
D. x∈ (∞, 3)
E. x∈ (-∞, -3) ∪ (3, ∞)
Show more

Any other solution to this problem?

Posted from my mobile device
avatar
aka14
avatar
Joined: 16 Oct 2018
Last visit: 12 Mar 2022
Posts: 15
Own Kudos:
2
Given Kudos: 23
Posts: 15
Kudos: 2
What values of x will satisfy the following inequality? |x-3|> |x|-3 30 Mar 2021, 03:18
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Can anyone solve this inequality algebraically

Posted from my mobile device
User avatar
Fdambro294
User avatar
Joined: 10 Jul 2019
Last visit: 27 Jun 2026
Posts: 1,324
Own Kudos:
790
 [1]
Given Kudos: 1,656
Posts: 1,324
Kudos: 790
 [1]
What values of x will satisfy the following inequality? |x-3|> |x|-3 06 Apr 2021, 21:12
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
This is the way I solved it algebraically:


[X - 3] > [X] - 3


The 2 Critical Boundaries over which the value inside each Modulus will change sign (“critical points”) will be:

X = 0 and + 3

So we need to open Each Modulus under 3 Assumed Scenarios:


Range 1: X >/= +3

X - 3 > X - 3

0 > 0 ——- false

No value that equals +3 or greater will satisfy the inequality


Range 2: 0 </= X < +3

-(X - 3) > X - 3

-X + 3 > X - 3

6 > 2X

X < 3

For all values from: 0 </= X < 3

The inequality will be satisfied. (Note: +3 does not work)


Range 3: X < 0

-(X - 3) > -(X) - 3

-X + 3 > -X - 3

+ 3 > -3

True——-test any value from 0 to negative infinite and you will see that the range will be satisfied.


Answer: X < 3

Any value in this range will satisfy the inequality


aka14
Can anyone solve this inequality algebraically

Posted from my mobile device
Show more
User avatar
Kinshook
User avatar
Major Poster
Joined: 03 Jun 2019
Last visit: 13 Sep 2026
Posts: 6,129
Own Kudos:
6,102
 [1]
Given Kudos: 164
Location: India
Schools: HBS '28 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
My Reviews
Schools: HBS '28 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
Posts: 6,129
Kudos: 6,102
 [1]
What values of x will satisfy the following inequality? |x-3|> |x|-3 14 Mar 2024, 22:34
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Asked: What values of x will satisfy the following inequality?\(|x-3|> |x|-3\)
Case 1: x<0
3 - x > -x - 3
3 > -3 
ALWAYS TRUE

Case 2: 0<=x<=3
3-x > x-3
x < 3
ALWAYS TRUE

Case 3: x>3
x-3 > x -3
Not feasible since x -3 = x - 3

x∈ (-∞, 3)

IMO A
­
User avatar
KhyatiC
User avatar
Joined: 23 Jun 2024
Last visit: 21 Dec 2024
Posts: 1
Given Kudos: 8
Posts: 1
Kudos: 0
What values of x will satisfy the following inequality? |x-3|> |x|-3 06 Jul 2024, 07:36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Kinshook
Asked: What values of x will satisfy the following inequality?\(|x-3|> |x|-3\)
Case 1: x<0
3 - x > -x - 3
3 > -3 
ALWAYS TRUE

Case 2: 0<=x<=3
3-x > x-3
x < 3
ALWAYS TRUE

Case 3: x>3
x-3 > x -3
Not feasible since x -3 = x - 3

x∈ (-∞, 3)

IMO A
­
Show more
­Hi, how do we decide the critical points in this equation?
User avatar
pradeepbhuyan
User avatar
Joined: 10 Jan 2023
Last visit: 13 Sep 2026
Posts: 11
Given Kudos: 258
Posts: 11
Kudos: 0
What values of x will satisfy the following inequality? |x-3|> |x|-3 08 Jul 2024, 06:08
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Kinshook
Asked: What values of x will satisfy the following inequality?\(|x-3|> |x|-3\)
Case 1: x<0
3 - x > -x - 3
3 > -3 
ALWAYS TRUE

Case 2: 0<=x<=3
3-x > x-3
x < 3
ALWAYS TRUE

Case 3: x>3
x-3 > x -3
Not feasible since x -3 = x - 3

x∈ (-∞, 3)

IMO A
­
Show more
At x=3 both sides of equation becomes equal to zero and hence the the inequality fails

Posted from my mobile device
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,236
Own Kudos:
1,158
Posts: 39,236
Kudos: 1,158
What values of x will satisfy the following inequality? |x-3|> |x|-3 21 Aug 2025, 08:21
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderator:
Bunuel
Math Expert
113491 posts