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.
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included! Class starts Mon, Tues, Wed, Thur, Fri Sept. 21, 2026 - Oct. 9, 2027, 7:00pm-10:00pm EST
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:22) correct
18%
(01:19)
wrong
based on 1195
sessions
History
Date
Time
Result
Not Attempted Yet
How many integers x satisfy |2x + 3 | < 6 ?
A. 1
B. 2
C. 6
D. 7
E. 8
_________________
A. 1
B. 2
C. 6
D. 7
E. 8
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
Bunuel
two cases
1) 2x+3 >0
so \(2x+3<6..............2x<3.............x<\frac{3}{2}\)
2) 2x+3<0
so \(2x+3>-6..............2x>-9.............x>\frac{-9}{2}\)
integers value-
-4, -3, -2, -1, 0, 1 ------ 6 values
C
_________________
General Discussion
Bunuel
Given, \(|2x + 3 | < 6\)
Or, \(|x-(\frac{-3}{2})|< 3\) (Dividing both sides of the inequality by 2)
Or, \((\frac{-3}{2}-3) < x < (\frac{-3}{2}+3)\)
Or, -\(4.5<x<1.5\)
So, Possible integer values of x: -4, -3, -2, -1, 0, 1
So, no of integers are 6.
Ans. (C)
sudarshan22
Retired Moderator
Joined: 30 Jan 2015
Last visit: 10 Nov 2019
Posts: 628
Location: India
Concentration: Operations, Marketing
GPA: 3.5
Posts: 628
+1 for C.
|2x+3|<6
Possible cases :
Case 1 = -(2x + 3) <6 = -2x - 3 <6 = -2x < 9 = x > -9/2 = x > -4.5
Case 2 -> 2x + 3 <6 = 2x < 3 = x < 3 / 2 = x < 1.5
Combining :
4.5 < x < 1.5
Therefore,
x = -4, -3, -2, -1, 0, 1
Number of integers = 6.
Hence, C.
|2x+3|<6
Possible cases :
Case 1 = -(2x + 3) <6 = -2x - 3 <6 = -2x < 9 = x > -9/2 = x > -4.5
Case 2 -> 2x + 3 <6 = 2x < 3 = x < 3 / 2 = x < 1.5
Combining :
4.5 < x < 1.5
Therefore,
x = -4, -3, -2, -1, 0, 1
Number of integers = 6.
Hence, C.
Bunuel
As this problem is on absolute value , we must have a certain range of values.
Case 1 : 2x + 3 = positive.
2x + 3 < 6
x < 1.5
case 2: 2x +3 = negative
-2x - 3 <6
-2x < 9
x < -4.5.
So, -4.5 < x < 1.5
Integers fall into the range : 1, 0 , -1, -2 , -3 , -4
There are 6 values in total.
The best answer is C.
Bunuel
\(|2x + 3 | < 6\)
\(-6 < 2x + 3 < 6\)
-\(3 < 2x < 9\)
\(-1.5 < x < 4.5\)
Therefore, -1, 0, 1, 2, 3, 4 are the required values.
So C
_________________
"Do not watch clock; Do what it does. KEEP GOING."
ScottTargetTestPrep
Expert
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 11 Sep 2026
Posts: 22,738
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert reply
Posts: 22,738
Bunuel
Recall that if k is a positive constant and |ax + b| < k, then -k < ax + b < k. So we can solve the given inequality by removing the absolute value sign and change it to the following double inequality:
-6 < 2x + 3 < 6
-9 < 2x < 3
-9/2 < x < 3/2
-4.5 < x < 1.5
The integers x can be are: -4, -3, -2, -1, 0, and 1. So there are 6 integers that satisfy the inequality.
Answer: C
_________________
Scott Woodbury-Stewart | Founder and
CEO |
[email protected]
See why Target Test Prep is the top rated GMAT course on GMAT Club. Read Our Reviews
Used the |x-a|<b formula
I hope this is the correct way
-6< (2x+3) < 6
[Adding -3 to all sides]
-9< 2x < 3
[Dividing all sides by 2]
-9/2 < x < 3/2
-4.5 < x < 1.5
x= -4,-3,-2,-1,0,1
6 values
I hope this is the correct way
-6< (2x+3) < 6
[Adding -3 to all sides]
-9< 2x < 3
[Dividing all sides by 2]
-9/2 < x < 3/2
-4.5 < x < 1.5
x= -4,-3,-2,-1,0,1
6 values
Moderator:
Announcements
How to Tell If Your GMAT Prep Resources Are Actually Helping You
Subscribe to GMAT Club for New Podcast Episodes, Debriefs, & Insightful Sessions on GMAT Preparation
Subscribe to GMAT Club for New Podcast Episodes, Debriefs, & Insightful Sessions on GMAT Preparation
Tuck at Dartmouth
AI at Dartmouth Tuck: How the School Is Preparing Leaders for the Age of Artificial Intelligence
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Top 5 GMAT Debrief Videos
Success stories and strategies from high-scoring candidates.