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# Here is the first post, everyone is wellcomed to reply in

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SVP
Joined: 05 Jul 2006
Posts: 1519
Followers: 5

Kudos [?]: 115 [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.

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: 1519
Followers: 5

Kudos [?]: 115 [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: 1519
Followers: 5

Kudos [?]: 115 [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: 1519
Followers: 5

Kudos [?]: 115 [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: 1519
Followers: 5

Kudos [?]: 115 [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: 1519
Followers: 5

Kudos [?]: 115 [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: 1519
Followers: 5

Kudos [?]: 115 [0], given: 39

st1 cd>ab

st2 b<c<0
SVP
Joined: 05 Jul 2006
Posts: 1519
Followers: 5

Kudos [?]: 115 [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: 1519
Followers: 5

Kudos [?]: 115 [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: 1519
Followers: 5

Kudos [?]: 115 [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: 1519
Followers: 5

Kudos [?]: 115 [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 [?]: 169 [0], given: 17

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.

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: 1519
Followers: 5

Kudos [?]: 115 [0], given: 39

[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.

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: 1519
Followers: 5

Kudos [?]: 115 [0], given: 39

Re: [#permalink]  15 Aug 2009, 11:48
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: 1519
Followers: 5

Kudos [?]: 115 [0], given: 39

Re: [#permalink]  15 Aug 2009, 11:55
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: 1519
Followers: 5

Kudos [?]: 115 [0], given: 39

Re: [#permalink]  15 Aug 2009, 12:06
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: 1519
Followers: 5

Kudos [?]: 115 [0], given: 39

Re: [#permalink]  15 Aug 2009, 12:07
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: 1519
Followers: 5

Kudos [?]: 115 [0], given: 39

Re: [#permalink]  15 Aug 2009, 12:24
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: 1519
Followers: 5

Kudos [?]: 115 [0], given: 39

Re: [#permalink]  15 Aug 2009, 12:26
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
Re:   [#permalink] 15 Aug 2009, 12:26
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