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 0907:00 AM PDT
-10:00 AM PDT
Meet AdComs and explore top Master’s programs - MiM, MiF, MSc, MSBA and more. - Application Fee Waivers - Free 1-Week of GMAT Club Tests: - Master's Application Toolkit - Grand Prize Giveaway
Sep 0410:00 AM EDT
-11:59 PM EDT
We’ve worked incredibly hard to build TTP into the best test prep experience possible, and it would mean a lot to us to win Newsweek’s 2026 Readers’ Choice Award for Best Test Prep. If TTP has helped you, we’d be incredibly grateful for your vote.
Sep 0812:30 AM EDT
-01:30 AM EDT
Looking for your GMAT motivation to break through the score plateau? Pragati improved her score by massive 160 points with strategic guidance and hard-work! Find out how personalized mentorship and a strong mindset can turn GMAT struggles into success.- Sep 09
10:00 AM PDT
-11:00 AM PDT
Three MBA applications. Three rejections. No interview invites. A year later, Aman was admitted to Cambridge Judge, SMU, and IMD. In this episode of MBA Admit Stories, Aman shares how he rebuilt his MBA application... 
Sep 1001:00 AM EDT
-02:00 AM EDT
Learn how Keshav, a Chartered Accountant, scored an impressive 705 on GMAT in just 30 days with GMATWhiz's expert guidance. In this video, he shares preparation tips and strategies that worked for him, including the mock, time management, and more.
Sep 1008:00 PM PDT
-09:00 PM PDT
Free- full-length test + 15 concept videos + 150+ short videos + study plan!
04 Jun 2026, 05:30
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
42% (02:12) correct
58%
(02:28)
wrong
based on 126
sessions
History
Date
Time
Result
Not Attempted Yet
How many integer values satisfy the inequality below?
\(\frac{|x-4|(x+5)}{x+1} \leq 0\)
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
\(\frac{|x-4|(x+5)}{x+1} \leq 0\)
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
General Discussion
04 Jun 2026, 08:44
Kudos
Bookmarks
Case 1 - if x ≠ 4
|x-4| is positive, hence we can divide both sides by |x-4| and the inequality reduces to -
(x-5) / (x-1) ≤0
(Inequality Rule of Thumb - If there is a variable in the denominator, square it by multiplying the numerator and denominator by the same variable to make the denominator positive)
(x-5) (x-1) / (x-1)^2 ≤0
=> (x-5) (x-1) ≤ 0 (As the denominator is now positive, we can multiply it across the inequality)
Solution to the above inequality, is between the roots => -5 ≤ x ≤ -1 (This is a standard Quadratic Inequality concept which can be explained if required)
But x = -1 cannot be a part of the solution as the denominator in the question becomes zero
So, the solution is -5 ≤ x < -1
Which means, there are 4 integer solutions in the above range.
Case 2: If x = 4 the inequality is satisfied. Hence, x = 4 also is a solution.
Total integer solutions => -5,-4,-3,-2 & 4 (5 solutions)
Option C
|x-4| is positive, hence we can divide both sides by |x-4| and the inequality reduces to -
(x-5) / (x-1) ≤0
(Inequality Rule of Thumb - If there is a variable in the denominator, square it by multiplying the numerator and denominator by the same variable to make the denominator positive)
(x-5) (x-1) / (x-1)^2 ≤0
=> (x-5) (x-1) ≤ 0 (As the denominator is now positive, we can multiply it across the inequality)
Solution to the above inequality, is between the roots => -5 ≤ x ≤ -1 (This is a standard Quadratic Inequality concept which can be explained if required)
But x = -1 cannot be a part of the solution as the denominator in the question becomes zero
So, the solution is -5 ≤ x < -1
Which means, there are 4 integer solutions in the above range.
Case 2: If x = 4 the inequality is satisfied. Hence, x = 4 also is a solution.
Total integer solutions => -5,-4,-3,-2 & 4 (5 solutions)
Option C
