Which of the following is equivalent to the pair of : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 20 Jan 2017, 01:04

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Which of the following is equivalent to the pair of

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 178
Followers: 5

Kudos [?]: 2325 [1] , given: 0

Which of the following is equivalent to the pair of [#permalink]

### Show Tags

13 Dec 2012, 08:47
1
KUDOS
00:00

Difficulty:

5% (low)

Question Stats:

96% (01:33) correct 4% (01:10) wrong based on 968 sessions

### HideShow timer Statistics

Which of the following is equivalent to the pair of inequalities x + 6 > 10 and x - 3 <= 5 ?

(A) 2 < x < 16
(B) 2 <= x < 4
(C) 2 < x <= 8
(D) 4 < x <= 8
(E) 4 <= x <= 16
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 36568
Followers: 7081

Kudos [?]: 93230 [0], given: 10553

Re: Which of the following is equivalent to the pair of [#permalink]

### Show Tags

13 Dec 2012, 08:48
Which of the following is equivalent to the pair of inequalities x + 6 > 10 and x - 3 <= 5 ?

(A) 2 < x < 16
(B) 2 <= x < 4
(C) 2 < x <= 8
(D) 4 < x <= 8
(E) 4 <= x <= 16

x + 6 > 10 --> x > 4;
x - 3 <= 5 --> x<=8;

Therefore 4 < x <=8.

_________________
Manager
Joined: 07 Apr 2014
Posts: 147
Followers: 1

Kudos [?]: 23 [0], given: 81

Re: Which of the following is equivalent to the pair of [#permalink]

### Show Tags

12 Sep 2014, 05:27
Which of the following is equivalent to the pair of inequalities x + 6 > 10 and x - 3 <= 5 ?

(A) 2 < x < 16
(B) 2 <= x < 4
(C) 2 < x <= 8
(D) 4 < x <= 8
(E) 4 <= x <= 16

x + 6 > 10 and x - 3 <= 5

x>4 and x<=8 combining

4<x<=8
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1858
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 47

Kudos [?]: 1933 [0], given: 193

Re: Which of the following is equivalent to the pair of [#permalink]

### Show Tags

30 Sep 2014, 22:08
x > 4 & x< = 8

OR

4 < x & x < = 8

4 < x < = 8

_________________

Kindly press "+1 Kudos" to appreciate

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13459
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: Which of the following is equivalent to the pair of [#permalink]

### Show Tags

25 Dec 2015, 20:37
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.
_________________
Senior Manager
Affiliations: Harvard University (Class of '02)
Joined: 10 Jul 2015
Posts: 310
GMAT 1: 770 Q47 V48
WE: Education (Education)
Followers: 45

Kudos [?]: 264 [1] , given: 42

Re: Which of the following is equivalent to the pair of [#permalink]

### Show Tags

25 May 2016, 20:54
1
KUDOS
Attached is a visual that should help.
Attachments

Screen Shot 2016-05-25 at 9.43.26 PM.png [ 64.89 KiB | Viewed 3191 times ]

_________________

Harvard grad and 770 GMAT scorer, offering high-quality private GMAT tutoring, both in-person and via Skype, since 2002.

McElroy Tutoring

Senior Manager
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 464
Followers: 22

Kudos [?]: 193 [1] , given: 2

Re: Which of the following is equivalent to the pair of [#permalink]

### Show Tags

15 Jun 2016, 11:23
1
KUDOS
Which of the following is equivalent to the pair of inequalities x + 6 > 10 and x - 3 <= 5 ?

(A) 2 < x < 16
(B) 2 <= x < 4
(C) 2 < x <= 8
(D) 4 < x <= 8
(E) 4 <= x <= 16

Solution:

Let’s isolate x in both inequalities, starting with x + 6 > 10.

x + 6 > 10

x > 4

Next we isolate x in the inequality x – 3  5.

x – 3 <= 5

x <= 8

Bringing these two inequalities together we know:

4 < x <= 8

The answer is D.
_________________

Jeffrey Miller
Jeffrey Miller
Head of GMAT Instruction

Director
Joined: 11 Sep 2015
Posts: 903
Followers: 106

Kudos [?]: 859 [0], given: 108

Re: Which of the following is equivalent to the pair of [#permalink]

### Show Tags

02 Aug 2016, 06:05
Top Contributor
Which of the following is equivalent to the pair of inequalities x + 6 > 10 and x - 3 < 5 ?

(A) 2 < x < 16
(B) 2 < x < 4
(C) 2 < x < 8
(D) 4 < x < 8
(E) 4 < x < 16

The above solutions are great. I just want to add one more tip.
When it comes to multiple inequalities, I find that it helps to rearrange them so that the inequality signs are all facing the same direction (I prefer arranging them so that the values are in ascending order from left to right)

So, x + 6 > 10 and x - 3 < 5 first become 10 < x + 6 and x - 3 < 5
For 10 < x + 6, we subtract 6 from both sides to get: 4 < x
For x - 3 < 5, we add 3 to both sides to get: x < 8
With the two inequality signs facing the same direction, it's easy to combine them to get 4 < x < 8

RELATED VIDEO

_________________

Brent Hanneson – Founder of gmatprepnow.com

Brent also tutors students for the GMAT

Re: Which of the following is equivalent to the pair of   [#permalink] 02 Aug 2016, 06:05
Similar topics Replies Last post
Similar
Topics:
The standard deviation of which of the following is equivalent to that 2 01 Dec 2016, 01:06
3 Which of the following is equivalent to 2 23 Jun 2015, 22:35
17 Which of the following has a decimal equivalent that is a 4 20 Oct 2013, 05:36
73 Which of the following fractions has a decimal equivalent th 5 09 Jul 2009, 09:29
19 Which of the following fractions has a decimal equivalent 18 02 Apr 2007, 05:18
Display posts from previous: Sort by

# Which of the following is equivalent to the pair of

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.