Which of the following inequalities is equivalent to

Oldest

Best Reply

Author

Message

TAGS:

Intern

Joined: 07 Aug 2003

Posts: 20

Location: USA

Followers: 0

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

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

10 Dec 2003, 12:27

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

A. |x-2|<4
B. |x-1|<3
C. |x-2|>4
D. None of the above

Senior Manager

Joined: 22 May 2003

Posts: 341

Location: Uruguay

Followers: 1

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

[#permalink]

10 Dec 2003, 21:31

B

In A x=4 is valid and it shouldn't be
In C x=3 is not valid and it should be

B is valid for -1,0,1,2,3 and is not valid for -2 and 4

CEO

Joined: 15 Aug 2003

Posts: 3550

Followers: 55

Kudos [?]: 626 [0], given: 781

Re: Modulus [#permalink]

13 Dec 2003, 00:38

preyshi wrote:

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

A. |x-2|<4
B. |x-1|<3
C. |x-2|>4
D. None of the above

none of the above

for A,
x- 2 < 4 ... x < 6
x-2 < -4 .... x<-2

similarly, do it for all

Intern

Joined: 04 Oct 2003

Posts: 42

Location: Silicon Valley, CA

Followers: 0

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

ans is B [#permalink]

20 Dec 2003, 21:49

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

I am using the property that for |x| < y
-y <x < y

any takers for this one.

Senior Manager

Joined: 12 Oct 2003

Posts: 274

Location: USA

Followers: 1

Kudos [?]: 3 [0], given: 0

[#permalink]

20 Dec 2003, 23:13

Quote:

B. |x-1|<3

So, -3<x-1<3
(-3+1)<(x-1+1)<(3+1)
-2<x<4

praetorian123 wrote:

Quote:

for A,
x- 2 < 4 ... x < 6
x-2 < -4 .... x<-2

Shouldn't the second inequality be x-2 > -4 .... x>-2?

[#permalink] 20 Dec 2003, 23:13

	Similar topics	Author	Replies	Last post
Similar Topics:	Which of the following inequalities is equivalent to	aps_can	3	25 Aug 2003, 20:20
	Which of the following inequalities is equivalent to 2 <	Bhai	7	03 Jul 2004, 08:56
	Which of the following inequalities is equivalent to 2 <	gayathri	3	12 Jan 2005, 10:27
	Which of the following inequalities is equivalent to 2 <	dhirajagg2006	5	15 Sep 2005, 09:50
	Which of the following inequalities is equivalent to 2 <	prude_sb	2	17 Feb 2007, 00:14

Which of the following inequalities is equivalent to

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

Which of the following inequalities is equivalent to

Which of the following inequalities is equivalent to

Main navigation

GMAT Resources

Partners

MBA Resources