Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 30 Aug 2016, 01:37

### 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

Author Message
TAGS:

### Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 178
Followers: 4

Kudos [?]: 1893 [1] , given: 0

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

### Show Tags

13 Dec 2012, 09:47
1
KUDOS
00:00

Difficulty:

5% (low)

Question Stats:

96% (01:33) correct 4% (01:08) wrong based on 752 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: 34496
Followers: 6297

Kudos [?]: 79904 [0], given: 10022

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

### Show Tags

13 Dec 2012, 09:48
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 [?]: 19 [0], given: 81

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

### Show Tags

12 Sep 2014, 06:27
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: 38

Kudos [?]: 1664 [0], given: 193

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

### Show Tags

30 Sep 2014, 23:08
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: 11141
Followers: 511

Kudos [?]: 134 [0], given: 0

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

### Show Tags

25 Dec 2015, 21:37
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
Joined: 10 Jul 2015
Posts: 272
GMAT 1: 770 Q47 V48
WE: Education (Education)
Followers: 19

Kudos [?]: 157 [0], given: 35

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

### Show Tags

25 May 2016, 21:54
Attached is a visual that should help.
Attachments

Screen Shot 2016-05-25 at 9.43.26 PM.png [ 64.89 KiB | Viewed 1369 times ]

Manager
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 203
Followers: 8

Kudos [?]: 38 [0], given: 2

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

### Show Tags

15 Jun 2016, 12:23
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

_________________

Jeffrey Miller
Jeffrey Miller

Director
Joined: 12 Sep 2015
Posts: 562
Followers: 48

Kudos [?]: 391 [0], given: 13

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

### Show Tags

02 Aug 2016, 07:05
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, 07:05
Similar topics Replies Last post
Similar
Topics:
3 Which of the following is equivalent to 2 23 Jun 2015, 23:35
15 Which of the following has a decimal equivalent that is a 4 20 Oct 2013, 06:36
6 Which of the following fractions has a decimal equivalent th 11 22 Aug 2009, 11:09
67 Which of the following fractions has a decimal equivalent th 5 09 Jul 2009, 10:29
14 Which of the following fractions has a decimal equivalent 17 02 Apr 2007, 06:18
Display posts from previous: Sort by