Last visit was: 17 Jun 2024, 00:11 It is currently 17 Jun 2024, 00:11
Toolkit
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

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

Track

every week, we’ll send you an estimated GMAT 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.

Which of the following describes all values of x such that there is a

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 93696
Own Kudos [?]: 632371 [2]
Given Kudos: 82322
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 6015
Own Kudos [?]: 13630 [3]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
General Discussion
Manager
Joined: 01 Nov 2017
Posts: 106
Own Kudos [?]: 121 [1]
Given Kudos: 333
Location: India
Schools: ISB '21
GMAT 1: 690 Q49 V36
GPA: 4
WE:Web Development (Consulting)
IESE School Moderator
Joined: 11 Feb 2019
Posts: 271
Own Kudos [?]: 173 [1]
Given Kudos: 53
Re: Which of the following describes all values of x such that there is a [#permalink]
1
Kudos
D.

Difference of two sides< third side < Sum of two sides
(4-3)<x< (4+3)
1<x<7
Manager
Joined: 10 Oct 2017
Posts: 67
Own Kudos [?]: 54 [0]
Given Kudos: 14
Re: Which of the following describes all values of x such that there is a [#permalink]
Option D.

As per the property of Triangle, 4 - 3 < X < 4+3
1<X<7
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3717
Own Kudos [?]: 17147 [0]
Given Kudos: 165
Re: Which of the following describes all values of x such that there is a [#permalink]

Solution

To find
We need to determine
• Which of the given Options describes all values of x, if there is a triangle with sides having lengths 3, 4, and x

Approach and Working out
• x must be < 3 + 4 and
• x must be greater than 4 – 3

Thus 1 < x < 7

Therefore, Option D is the correct answer.

Non-Human User
Joined: 09 Sep 2013
Posts: 33616
Own Kudos [?]: 838 [0]
Given Kudos: 0
Re: Which of the following describes all values of x such that there is a [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
Re: Which of the following describes all values of x such that there is a [#permalink]
Moderator:
Math Expert
93697 posts