Last visit was: 22 Dec 2024, 17:53 It is currently 22 Dec 2024, 17:53

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: 30475
Own Kudos [?]: 36821 [5]
Given Kudos: 26100
Send PM
Intern
Intern
Joined: 25 Jul 2021
Posts: 8
Own Kudos [?]: 3 [0]
Given Kudos: 33
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 30475
Own Kudos [?]: 36821 [0]
Given Kudos: 26100
Send PM
Intern
Intern
Joined: 25 Jul 2021
Posts: 8
Own Kudos [?]: 3 [0]
Given Kudos: 33
Send PM
Re: 4<7-x/3 [#permalink]
Carcass can you please explain how?
Verbal Expert
Joined: 18 Apr 2015
Posts: 30475
Own Kudos [?]: 36821 [0]
Given Kudos: 26100
Send PM
Re: 4<7-x/3 [#permalink]
Expert Reply
manipulating the stem we do have that

\(-5>x\) so x must be negative

Quantity A: Maximum value of −(5−x)
⇒ Maximum value of (x−5)
Since x is negative, and we need to get the maximum value of (x−5), the least possible value of x in the magnitude would be eligible.

Say x=−5.001
Maximum value of (x−5)=−5.001−5=−10.001
Quantity B: Maximum value of 2x at x=−5.001
Maximum value of 2x=2×−5.001=−10.002
Thus, Quantity A (=-10.001) is greater than Quantity B (=-10.002).

No matter how close to -5, you choose the value of x

A>B
Intern
Intern
Joined: 25 Oct 2021
Posts: 15
Own Kudos [?]: 15 [1]
Given Kudos: 35
Send PM
Re: 4<7-x/3 [#permalink]
1
Ami2000 wrote:
\(4 < \frac{7-x}{3}\)

Solving the inequality we will get

12 < 7-x
x<-5

Quantity A is Maximum value of -(5-x)
Putting the value of x as -4.9

A = -9.9

Quantity B is the Maximum Value of 2x
2(-4.9)
B = -9.8

Here Quantity B is greater

Quantity A is the Maximum value of -(5-x)
Putting the value of x as -100

A = -105

Quantity B is the Maximum Value of 2x
2(-100)
B = -200

Here Quantity A is greater.

The Answer should be D in my opinion(Which will probably be wrong)



x < -5
x cant be -4.9

That's where you've err'ed
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5090
Own Kudos [?]: 76 [0]
Given Kudos: 0
Send PM
Re: 4<7-x/3 [#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: 4<7-x/3 [#permalink]
Moderators:
GRE Instructor
88 posts
GRE Forum Moderator
37 posts
Moderator
1115 posts
GRE Instructor
234 posts

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