Which of the following inequalities is equivalent to -2 < : PS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 23 Jan 2017, 21:50

### 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 inequalities is equivalent to -2 <

Author Message
Intern
Joined: 26 Mar 2003
Posts: 24
Followers: 1

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

Which of the following inequalities is equivalent to -2 < [#permalink]

### Show Tags

09 May 2003, 15:41
00:00

Difficulty:

(N/A)

Question Stats:

100% (01:02) correct 0% (00:00) wrong based on 2 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Which of the following inequalities is equivalent to -2 < x < 4?

(a) |x-2|<4
(b) |x-1|<3
(c) |x+1|<3
(d) |x+2|<4
(e) None of the above
CTO
Joined: 19 Dec 2002
Posts: 250
Location: Ukraine
Followers: 20

Kudos [?]: 36 [0], given: 9

### Show Tags

09 May 2003, 23:26
-2 + a = -(4 + a)
-2 + a = -4 - a
2a = -2
a = -1

-2 - 1 = -(4 - 1)

-2 < x - 1 < 4
<=>
-2 - 1 < x - 1 < 4 - 1
<=>
-3 < (x-1) < 3
<=>
|x-1| < 3
Intern
Joined: 26 Mar 2003
Posts: 24
Followers: 1

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

### Show Tags

10 May 2003, 21:13
gravedigger wrote:
-2 + a = -(4 + a)
-2 + a = -4 - a
2a = -2
a = -1

-2 - 1 = -(4 - 1)

-2 < x - 1 < 4
<=>
-2 - 1 < x - 1 < 4 - 1
<=>
-3 < (x-1) < 3
<=>
|x-1| < 3

What does the first statement mean? I am somewhat confused....
CTO
Joined: 19 Dec 2002
Posts: 250
Location: Ukraine
Followers: 20

Kudos [?]: 36 [0], given: 9

### Show Tags

11 May 2003, 01:20
my idea was to normalize the inequality to a form of
-N < (x - K) < N

this could be achieved by adding some number, but the number itself is yet unknown. Let it be "a":

2 < x - 1 < 4
<=>
-2 + a < x - 1 + a < 4 + a

that's how i got
-2 + a = 4 + a

I do it simply to find what number to add to the ineq. In this case it's faster just to pick it, but i just wanted to show that it can be derived.
Senior Manager
Joined: 17 Apr 2005
Posts: 375
Location: India
Followers: 1

Kudos [?]: 27 [0], given: 0

### Show Tags

04 Jul 2005, 06:06
kdog3490 wrote:
Which of the following inequalities is equivalent to -2 < x < 4?

(a) |x-2|<4
(b) |x-1|<3
(c) |x+1|<3
(d) |x+2|<4
(e) None of the above

B.

for x > 1. (b) reduces to x - 1 < 3 or x < 4
for x < 1. (b) reduces to 1- x < 3 or x > -2
also (b) holds when x = 1 hence , reduces to -2 < x < 4.

HMTG.
Re: PS: Inequality   [#permalink] 04 Jul 2005, 06:06
Display posts from previous: Sort by