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.
May 2008:00 AM PDT
-08:30 AM PDT
What’s in it for you- Live Profile Evaluation Chat Session with Jenifer Turtschanow, CEO, ARINGO. Come with your details prepared and ARINGO will share insights! Pre-MBA Role/Industry, YOE, Exam Score, C/GPA, ECs Post-MBA Role/ Industry & School List.
Jun 1006:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
10 Nov 2023, 08:20
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
64% (01:42) correct
36%
(01:46)
wrong
based on 456
sessions
History
Date
Time
Result
Not Attempted Yet
How many values of x satisfy the equation ||x - 7| - 9| = 11?
A. 1
B. 2
C. 3
D. 4
E. 5
A. 1
B. 2
C. 3
D. 4
E. 5
12 Nov 2023, 03:27
Kudos
Bookmarks
Bunuel
OA is B
Posted from my mobile device
Attachments
Screenshot_20231112_155455_Samsung Notes.jpg [ 167.29 KiB | Viewed 4636 times ]
14 Oct 2024, 08:06
Kudos
Bookmarks
We need to find how many values of x satisfy the equation ||x - 7| - 9| = 11?
Now, | |x - 7| - 9 | = 11
=> |x - 7| - 9 = 11 or -11
=> |x - 7| = 20 or -2
But modulus of a number cannot be negative
=> |x - 7| = 20
So, there are two solutions for x = -13, 20
So, Answer will be B
Hope it helps!
Watch the following video to MASTER Absolute Values
Now, | |x - 7| - 9 | = 11
=> |x - 7| - 9 = 11 or -11
=> |x - 7| = 20 or -2
But modulus of a number cannot be negative
=> |x - 7| = 20
| We have two cases as we have |x - 7| | |
| -Case 1: x - 7 ≥ 0 or x ≥ 7 => | x - 7 | = x - 7 => x - 7 = 20 => x = 27 But the condition was x ≥ 7 and 20 ≥ 7 => x = 20 is a SOLUTION | -Case 2: x - 7 ≤ 0 or x ≤ 7 => | x - 7 | = -(x - 7) = 7 - x => 7 - x = 20 => x = -13 The condition was x ≤ 7 and -13 ≤ 7 => x = -13 is a SOLUTION |
So, there are two solutions for x = -13, 20
So, Answer will be B
Hope it helps!
Watch the following video to MASTER Absolute Values
