Author
Message
TAGS:
SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

Here is the first post, everyone is wellcomed to reply in [#permalink ]
15 Oct 2006, 13:28

Here is the first post, everyone is wellcomed to reply in the other thread named ( Inequality thread replies) Plz use the question stem.OA and best OE will be posted by the end of each week. Everyone is welcomed to add questions and reply to any post. Is x negative? 1) x^3(1-x^2)<0 2) x^2-1<0 plz note that my answers below are not OA or OE it is my personal solutions. this thread was created 3 years ago. and i personally lost track of it.

Last edited by

yezz on 15 Aug 2009, 12:35, edited 2 times in total.

SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

2) 0<|x|-4x<5 = ?
A. x<0
B. 0<x<1
C. -3/5<x<1
D. -3/5<x<0
E. -1<x<0

SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

3)[x] denotes largest integer less than or equal to x if [x] = -1, which one is true?
x=1
-2=<x<-1
-2<x<=-1
-1=<x<0
-1<x<=0

SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

4)If a>b>c>0, is c <3?
(1) 1/a>1/3
(2) 1/a+1/b+1/c=1

SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

5)Is y<(x+z)/2?
1. y-x < z-y
2 z-y > (z-x)/2

SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

6) if a and b are positive, is 1/(1/a+1/b) less than ab?
1) a=2b
2) a+b > 1

SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

7)if ab/cd <0, is bc>ad?
st1 cd>ab
st2 b<c<0

SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

8) If n is not equal to 0, is |n| < 4 ?
(1) n^2 > 16
(2) 1/|n| > n

SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

9) a and b are positive numbers. Is a>b?
(1) ax>bx
(2) x*a^2+x*b^2<0

Last edited by

yezz on 15 Oct 2006, 14:13, edited 1 time in total.

SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

10)If x and y are positive real numbers, is x > y?
i) x^3/y < 1
ii) (x^1/3)/y < 1

SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

11) Is x>1?
1). x^2<x
2). x<rootx

Manager

Joined: 25 Jul 2009

Posts: 117

Schools: NYU, NUS, ISB, DUKE, ROSS, DARDEN

Followers: 4

Kudos [? ]:
148
[0 ] , given: 17

Re: The Inequality Thread [#permalink ]
14 Aug 2009, 04:05

yezz wrote:

Here is the first post, everyone is wellcomed to reply in the other thread named ( Inequality thread replies) Plz use the question stem.OA and best OE will be posted by the end of each week. Everyone is welcomed to add questions and reply to any post. Is x negative? 1) x^3(1-x^2)<0 2) x^2-1<0 Good luck

Hey yezz

Where can I find the solution of these questions? I am unable to find the thread of replies....

_________________

KUDOS me if I deserve it !! My GMAT Debrief - 740 (Q50, V39) | My Test-Taking Strategies for GMAT | Sameer's SC Notes

SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

Re: The Inequality Thread [#permalink ]
15 Aug 2009, 11:40

[quote="yezz"]Here is the first post, everyone is wellcomed to reply in the other thread named ( Inequality thread replies) Plz use the question stem.OA and best OE will be posted by the end of each week. Everyone is welcomed to add questions and reply to any post. Is x negative? is x<0 1) x^3(1-x^2)<0 2) x^2-1<0 from 1 x^3<x^5 either x>1 or -1<x<0.......insuff from 2 from 2 x^2<1 ie: /x/<1 ie: -1<x<1....insuff both still insuff...E

SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

yezz wrote:

2) 0<|x|-4x<5 = ? A. x<0 B. 0<x<1 C. -3/5<x<1 D. -3/5<x<0 E. -1<x<0

0<|x|-4x<5 = -4x</x/<5-4x split the inquality into 2

1) /x/< 5-4x , 5-4x>0 -4x>-5 , x<5/4

2) -4x</x/.............-4x<x or 4x>x

x(-4-1) < 0 Ie: x>0

4x>x thus 3x>0 thus x>0

at 1,2 solutions

0<x<5/4, b is the range that belong to our solution thus B

SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

yezz wrote:

3)[x] denotes largest integer less than or equal to x if [x] = -1, which one is true? x=1 -2=<x<-1 -2<x<=-1 -1=<x<0 -1<x<=0

solution is

-1=<X<=0,

SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

yezz wrote:

4)If a>b>c>0, is c <3? (1) 1/a>1/3 (2) 1/a+1/b+1/c=1

a,b,c r +ve

from 1

a<3 and since a>b>c thus sure c<3

from 2

since a>b>c>0 thus surely 1/a<1/b<1/c , assume all are equal then each is 1/3 however 1/b,1/c has to be less than 1/3 1/c>1/3 thus c<3..suff

D

SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

yezz wrote:

5)Is y<(x+z)/2? 1. y-x < z-y 2 z-y > (z-x)/2

is 2y<x+z

from 1

y-x-z+y<0

2y<x+z..........suff

from 2

2z-2y-z+x > 0

z+x>2y...suff

D

SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

yezz wrote:

8) If n is not equal to 0, is |n| < 4 ? (1) n^2 > 16 (2) 1/|n| > n

is -4<n<4

from 1

/n/>4 ie: either n>4 or n<-4............suff

from 2

n/(/n/)<1 ....isnuff

A

SVP

Joined: 05 Jul 2006

Posts: 1541

Followers: 5

Kudos [? ]:
83
[0 ] , given: 39

yezz wrote:

9) a and b are positive numbers. Is a>b? (1) ax>bx (2) x*a^2+x*b^2<0

is a-b>0

from 1

x(a-b)>0 ...depends on x ...insuff

from 2

x(a^2+b^2) < 0....x is -ve no idea about a,b...insuff

both

if x is -ve and x(a-b)>0 thus a-b<0...suff... C