|
Author |
Message |
|
TAGS:
|
|
|
SVP
Joined: 05 Jul 2006
Posts: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
Here is the first post, everyone is wellcomed to reply in [#permalink]
 15 Oct 2006, 14:28
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, 13:35, edited 2 times in total.
|
|
|
|
|
|
|
SVP
Joined: 05 Jul 2006
Posts: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
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: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
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: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
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: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
5)Is y<(x+z)/2?
1. y-x < z-y
2 z-y > (z-x)/2
|
|
|
|
|
|
SVP
Joined: 05 Jul 2006
Posts: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
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: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
7)if ab/cd <0, is bc>ad?
st1 cd>ab
st2 b<c<0
|
|
|
|
|
|
SVP
Joined: 05 Jul 2006
Posts: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
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: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
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, 15:13, edited 1 time in total.
|
|
|
|
|
|
SVP
Joined: 05 Jul 2006
Posts: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
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: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
11) Is x>1?
1). x^2<x
2). x<rootx
|
|
|
|
|
|
Manager
Joined: 25 Jul 2009
Posts: 119
Schools: NYU, NUS, ISB, DUKE, ROSS, DARDEN
Followers: 2
Kudos [?]:
103
[0], given: 17
|
Re: The Inequality Thread [#permalink]
14 Aug 2009, 05:05
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: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
Re: The Inequality Thread [#permalink]
15 Aug 2009, 12:40
[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: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
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: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
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: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
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: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
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: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
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: 1568
Followers: 4
Kudos [?]:
63
[0], given: 36
|
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
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
close
