Last visit was: 15 Nov 2024, 20:31 It is currently 15 Nov 2024, 20:31

Close

GRE Prep 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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
avatar
Senior Manager
Senior Manager
Joined: 20 May 2014
Posts: 285
Own Kudos [?]: 701 [5]
Given Kudos: 225
avatar
Director
Director
Joined: 03 Sep 2017
Posts: 518
Own Kudos [?]: 702 [0]
Given Kudos: 0
Send PM
avatar
Intern
Intern
Joined: 05 Oct 2017
Posts: 10
Own Kudos [?]: 9 [0]
Given Kudos: 0
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 29961
Own Kudos [?]: 36241 [0]
Given Kudos: 25909
Send PM
Re: Which of the following must be greater than x, where -1 < x [#permalink]
Expert Reply
Think x = 0.5 that is an exactly half way between -1 and zero.

-0.5 elevated to the third power becomes -0.125 that is on the number line is closer to zero than -0.5. Which means -0.125 is on the right side of -0.5


-1 ------------- -0.5 ----------------- - 0.125------------ zero

A is correct.

Hope this helps.

Regards
avatar
Intern
Intern
Joined: 05 Oct 2017
Posts: 10
Own Kudos [?]: 9 [0]
Given Kudos: 0
Send PM
Re: Which of the following must be greater than x, where -1 < x [#permalink]
thanks :-D


Carcass wrote:
Think x = 0.5 that is an exactly half way between -1 and zero.

-0.5 elevated to the third power becomes -0.125 that is on the number line is closer to zero than -0.5. Which means -0.125 is on the right side of -0.5


-1 ------------- -0.5 ----------------- - 0.125------------ zero

A is correct.

Hope this helps.

Regards
avatar
Manager
Manager
Joined: 08 Dec 2018
Posts: 94
Own Kudos [?]: 70 [0]
Given Kudos: 0
Send PM
Re: Which of the following must be greater than x, where -1 < x [#permalink]
IlCreatore wrote:
I am ok with all the answers but C. If x = -(1/2), then x^2+x = 1/4-1/2 = -1/2 that is equal to x. So it is not true that x^2+x must be greater than x.

Am I right? Or am I just tired that I do not get why C is ok?


if x=-1/2
then x^2+x= (-1/2*-1/2)+ (-1/2)
= 1/4-1/2
= -1/4 [ as the LCM of 2 and 4 is 4)
So, -1/4>-1/2
So, C
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12189 [0]
Given Kudos: 136
Send PM
Re: Which of the following must be greater than x, where -1 < x [#permalink]
1
IlCreatore wrote:
I am ok with all the answers but C. If x = -(1/2), then x^2+x = 1/4-1/2 = -1/2 that is equal to x. So it is not true that x^2+x must be greater than x.

Am I right? Or am I just tired that I do not get why C is ok?


You're just tired :)
1/4 - 1/2 = -1/4 (not -1/2)

Cheers,
Brent
Manager
Manager
Joined: 23 Mar 2022
Posts: 62
Own Kudos [?]: 24 [0]
Given Kudos: 26
Send PM
Re: Which of the following must be greater than x, where -1 < x [#permalink]
Why B is incorrect?
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12189 [1]
Given Kudos: 136
Send PM
Which of the following must be greater than x, where -1 < x [#permalink]
1
ademeutia wrote:
Why B is incorrect?


B. \(\sqrt[3]{x}\)

\(\sqrt[3]{-\frac{1}{8}} = -\frac{1}{2}\) and \(-\frac{1}{2} < -\frac{1}{8}\)
Prep Club for GRE Bot
Which of the following must be greater than x, where -1 < x [#permalink]
Moderators:
GRE Instructor
78 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne