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 1712:30 AM EDT
-01:30 AM EDT
Thought your job leaves no time for GMAT prep? After multiple GMAT attempts and a demanding consulting job, Kshitij improved to 695 in under 2 months. Learn the mindset shifts, study strategy, and execution changes that made the breakthrough possible.
Sep 1801:30 AM EDT
-02:30 AM EDT
Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.
Sep 1808:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
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!
15 Apr 2018, 10:01
Kudos
Bookmarks
D
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:
79% (00:48) correct
21%
(00:58)
wrong
based on 306
sessions
History
Date
Time
Result
Not Attempted Yet
Which of the following inequalities represents the entire solution set for x if |x| > x?
A. x ≥ 0
B. x > 0
C. x ≤ 0
D. x < 0
E. x < −1
A. x ≥ 0
B. x > 0
C. x ≤ 0
D. x < 0
E. x < −1
15 Apr 2018, 11:47
Kudos
Bookmarks
Bunuel
\(|x|<x\), is only possible when \(x<0\)
Option \(D\)
------------------------------------
Algebraically, we can have two cases -
Case 1: if \(x≥0\), then \(|x|=x\),
so equation will become \(x>x\), or \(0>0\) which is not possible. Hence discard Case 1.
Case 2: if \(x<0\), then \(|x|=-x\)
so equation will become \(-x>x\), or \(0>2x=>x<0\) which is True in this case.
15 Apr 2018, 14:10
Kudos
Bookmarks
Answer is D
The reason why it can't be C is that |x| means values that are nonnegative, so positive numbers and 0 are valid. |0|>0 is not true hence not correct.
The reason why it can't be C is that |x| means values that are nonnegative, so positive numbers and 0 are valid. |0|>0 is not true hence not correct.
