Last visit was: 14 Nov 2024, 22:56 It is currently 14 Nov 2024, 22:56

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
Verbal Expert
Joined: 18 Apr 2015
Posts: 29960
Own Kudos [?]: 36222 [3]
Given Kudos: 25903
Send PM
avatar
Retired Moderator
Joined: 20 Apr 2016
Posts: 1307
Own Kudos [?]: 2273 [3]
Given Kudos: 251
WE:Engineering (Energy and Utilities)
Send PM
avatar
Manager
Manager
Joined: 08 Dec 2018
Posts: 94
Own Kudos [?]: 70 [0]
Given Kudos: 0
Send PM
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12189 [3]
Given Kudos: 136
Send PM
Re: If u and –3v are greater than 0, and [#permalink]
2
1
Bookmarks
Carcass wrote:
If u and –3v are greater than 0, and \(\sqrt{u} < \sqrt{-3v}\) , which of the following cannot be true ?

A. \(\frac{u}{3} < -v\)

B. \(\frac{u}{v} > -3\)

C. \(\sqrt{\frac{u}{-v}} < \sqrt{3}\)

D. \(u + 3v > 0\)

E. \(u < -3v\)


If \(\sqrt{u} < \sqrt{-3v}\), then it must also be true that u < -3v

Scan the answer choices....

Hmmm, D says that u + 3v > 0
However, if we take u < -3v and add 3v to both sides, we get: u + 3v < 0, which is the OPPOSITE of what answer choice D is saying.

Answer: D

Cheers,
Brent
avatar
Intern
Intern
Joined: 10 Apr 2020
Posts: 7
Own Kudos [?]: 1 [0]
Given Kudos: 0
Send PM
Re: If u and –3v are greater than 0, and [#permalink]
** When the GRE writes a root sign, they are indicating a nonnegative root only**


Can someone explain what is the exact meaning of this with an example?
Thanks in advance!
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12189 [2]
Given Kudos: 136
Send PM
Re: If u and –3v are greater than 0, and [#permalink]
2
ZIONGRE wrote:
** When the GRE writes a root sign, they are indicating a nonnegative root only**


Can someone explain what is the exact meaning of this with an example?
Thanks in advance!


Every positive number has two square roots.
For example, the square root of 25 is 5, since 5² = 25 AND -5, since (-5)² = 25

However, the square root NOTATION tells us to indicate the non-negative root only.

So, for example:
\(\sqrt{25}=5\)
\(\sqrt{49}=7\)
\(\sqrt{0.25}=0.5\)
\(\sqrt{0}=0\)
etc

Does that help?

Cheers,
Brent
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5015
Own Kudos [?]: 74 [0]
Given Kudos: 0
Send PM
Re: If u and 3v are greater than 0, and [#permalink]
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
Re: If u and 3v are greater than 0, and [#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