Sep 23 04:00 PM PDT - 06:00 PM PDT Join my MyGuru for Free GMAT Math Refresher is the best workshop to learn about the basics and the advanced strategies required to get a 700+ GMAT score. Sep 23 08:00 PM PDT - 09:00 PM PDT Learn how to evaluate your profile, skills, and experiences to determine if, when, and where you should apply to graduate school. Sep 27 08:00 PM PDT - 09:00 PM PDT Working in collaboration with examPAL we will provide you with a unique online learning experience which will help you reach that higher score. Start your free 7 day trial today. Oct 02 08:00 PM PDT - 09:00 PM PDT LEARN WITH AN EXPERT TEACHER—FOR FREE - Take a free practice test, learn content with one of our highest-rated teachers, or challenge yourself with a GRE Workshop.
|
Author |
Message |
|
TAGS:
|
|
|
Founder
Joined: 18 Apr 2015
Posts: 13344
Followers: 288
Kudos [?]:
3382
[0], given: 12176
|
Question Stats:
69% (00:50) correct
30% (00:44) wrong based on 99 sessions
\(|x^3|< 64\)
Quantity A |
Quantity B |
\(-x\) |
\(-|x|\) |
A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given. Kudos for R.A.E
_________________
Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.
|
|
|
|
|
|
|
GRE Instructor
Joined: 10 Apr 2015
Posts: 3830
Followers: 148
Kudos [?]:
4479
[1]
, given: 69
|
1
This post received
KUDOS
Carcass wrote: \(|x^3|< 64\)
Quantity A |
Quantity B |
-x |
-|x| |
Let's test some possible values of x CASE 1Since | 0³| < 64, x COULD equal 0We get: Quantity A: - 0Quantity B: -| 0| Evaluate to get: Quantity A: 0 Quantity B: 0 In this case, the two quantities are EQUAL CASE 2Since |( -1)³| < 64, x COULD equal -1We get: Quantity A: -( -1) Quantity B: -| -1| Evaluate to get: Quantity A: 1 Quantity B: -1 In this case, Quantity A IS GREATER Answer: D Cheers, Brent
_________________
Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.
Sign up for GRE Question of the Day emails
|
|
|
|
|
|
Manager
Joined: 06 Jun 2018
Posts: 94
Followers: 2
Kudos [?]:
77
[1]
, given: 0
|
1
This post received
KUDOS
Carcass wrote: \(|x^3|< 64\)
Quantity A |
Quantity B |
-x |
-|x| |
A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given. Kudos for R.A.E30 sec approach : It's impossible to determine the sign of a variable that keeps inside the absolute value sign. X could be positive or negative. U will get know definite value of x. The best answer is D.
|
|
|
|
|
|
Retired Moderator
Joined: 31 Jul 2018
Posts: 32
GPA: 3.07
Followers: 0
Kudos [?]:
12
[0], given: 3
|
I selected option B because -|x| = -x. How is it the D? I still do not understand. Could anyone further explain both question and answer? Thank you.
_________________
I am doing it.
|
|
|
|
|
|
GRE Instructor
Joined: 10 Apr 2015
Posts: 3830
Followers: 148
Kudos [?]:
4479
[1]
, given: 69
|
1
This post received
KUDOS
ajbozdar wrote: I selected option B because -|x| = -x.
How is it the D? I still do not understand. Could anyone further explain both question and answer?
Thank you. It is not always the case that -|x| = -x If x is a POSITIVE number, then -|x| = -x For example, if x = 2, we get: -|2| = -2 Simplify to get: -2 = -2 However, if x is a NEGATIVE number, then it is NOT the case that -|x| = -x For example, if x = -3, we get: -|-3| = -(-3) Simplify to get: -3 = 3, which is NOT TRUE Does that help? Cheers, Brent
_________________
Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.
Sign up for GRE Question of the Day emails
|
|
|
|
|
|
Retired Moderator
Joined: 31 Jul 2018
Posts: 32
GPA: 3.07
Followers: 0
Kudos [?]:
12
[0], given: 3
|
GreenlightTestPrep wrote:
However, if x is a NEGATIVE number, then it is NOT the case that -|x| = -x
For example, if x = -3, we get: -|-3| = -(-3)
Simplify to get: -3 = 3, which is NOT TRUE
Does that help?
I have learnt that any negative number under mod becomes positive. If so, -|-3| = -(3) i.e. = -3 Did I learn the wrong concept of absolute value?
_________________
I am doing it.
|
|
|
|
|
|
GRE Instructor
Joined: 10 Apr 2015
Posts: 3830
Followers: 148
Kudos [?]:
4479
[1]
, given: 69
|
1
This post received
KUDOS
ajbozdar wrote: GreenlightTestPrep wrote:
However, if x is a NEGATIVE number, then it is NOT the case that -|x| = -x
For example, if x = -3, we get: -|-3| = -(-3)
Simplify to get: -3 = 3, which is NOT TRUE
Does that help?
I have learnt that any negative number under mod becomes positive. If so, -|-3| = -(3) i.e. = -3 Did I learn the wrong concept of absolute value? You learned the correct concept. In my solution, you'l see that I also state that -|-3| = -(3) = -3 Cheers, Brent
_________________
Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.
Sign up for GRE Question of the Day emails
|
|
|
|
|
|
Founder
Joined: 18 Apr 2015
Posts: 13344
Followers: 288
Kudos [?]:
3382
[0], given: 12176
|
Yes. Regards
_________________
Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.
|
|
|
|
|
|
Manager
Joined: 23 Oct 2018
Posts: 57
Followers: 0
Kudos [?]:
0
[0], given: 0
|
is it possible to have negative sign in absolut value
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
close
