Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Nov 2007:30 AM PST
-08:30 AM PST
Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
Nov 2211:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment- Nov 23
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Nov 2510:00 AM EST
-11:00 AM EST
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
BillyZ
Current Student
Joined: 14 Nov 2016
Last visit: 03 May 2025
Posts: 1,143
Given Kudos: 926
Location: Malaysia
Concentration: General Management, Strategy
Schools: Sloan '23 (D) Tuck '23 (D) Darden '23 (D) Ross '23 (D) Kellogg '23 (D) Wharton '23 (D) Booth '23 (D) Fuqua '24 (A) Harvard '24 (D) Stanford '24 (D)
GMAT 1: 750 Q51 V40 (Online)
GPA: 3.53
Products:
Schools: Sloan '23 (D) Tuck '23 (D) Darden '23 (D) Ross '23 (D) Kellogg '23 (D) Wharton '23 (D) Booth '23 (D) Fuqua '24 (A) Harvard '24 (D) Stanford '24 (D)
GMAT 1: 750 Q51 V40 (Online)
Posts: 1,143
D
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:
61% (02:23) correct
39%
(02:28)
wrong
based on 898
sessions
History
Date
Time
Result
Not Attempted Yet
For how many integer values of x, is \(|3x-3|+|2x+8|<15\)?
A. 2
B. 3
C. 4
D. 5
E. 6
Untitled.jpg [ 61.01 KiB | Viewed 15472 times ]
A. 2
B. 3
C. 4
D. 5
E. 6
Attachment:
Untitled.jpg [ 61.01 KiB | Viewed 15472 times ]
13 Feb 2017, 07:08
Kudos
Bookmarks
we can solve this by following ways -
1. First take the positive parts of mod values -
|3x-3| = 3x-3
|2x+8| = 2x+8
So, it boils down to -
3x-3+2x+8 < 15
x<2
2. Now consider the negative parts of them -
|3x-3| = -3x+3
|2x+8| = -2x-8
-3x+3-2x-8<15
-x<4
x>-4
So , we can conclude that: -4<x<2
Thus, we will have - 5 integers, which will satisfy this equation.
1. First take the positive parts of mod values -
|3x-3| = 3x-3
|2x+8| = 2x+8
So, it boils down to -
3x-3+2x+8 < 15
x<2
2. Now consider the negative parts of them -
|3x-3| = -3x+3
|2x+8| = -2x-8
-3x+3-2x-8<15
-x<4
x>-4
So , we can conclude that: -4<x<2
Thus, we will have - 5 integers, which will satisfy this equation.
13 Feb 2017, 12:27
Kudos
Bookmarks
ziyuenlau
\(|3x-3|+|2x+8|<15\)
\(3*|x-1|+2*|x+4|<15\)
We want the values of x such that the sum of "thrice their distance from 1" and "twice their distance from -4" is less than 15.
Let's try to find the point where this distance is equal to 15.
........................ (-4) ...................................... (0) ........... (1) ..........................
The distance between -4 and 1 is 5. Thrice this distance is 15. So at the point x = -4, the sum will be 15. As we move to the right of -4, the sum will reduce (since the twice component will keep increasing). At x = 1, the sum becomes 0 + 2*5 = 10.
What happens when you go to the right of 1? Now the sum starts increasing since the thrice components increasing now.
At x = 2, the sum becomes 3*1 + 2*6 = 15.
To the right of 2, the sum will keep increasing.
So the sum will be less than 15 between -4 and 2. This gives us 5 integer values (-3, -2, -1, 0, 1).
Answer (D)
