Welcome! Check out our free B-School Guides to learn how you compare with other applicants.

## InEquality

This topic has 1 member reply
shekhar.kataria Really wants to Beat The GMAT!
Joined
15 Mar 2010
Posted:
268 messages
Thanked:
12 times
InEquality Tue Mar 13, 2012 3:24 am
Elapsed Time: 00:00
• Lap #[LAPCOUNT] ([LAPTIME])
Find the solution to the inequality :
2x+5
------------ <3
|x| +1

1.x < -2/5 or x > 1
2.x < -1 or x > 2/5
3.x < -2/5 or x > 2
4.x > -2/5 or x < 2
5.x > 1 or x < -1

Pleas tell what is the problem within my approach :-

I am considering two secanarios, one is X>=0 and other is X<0; X can not be zero because if X=0 , inequality doesn't stand correct.

FOR X>0 ;
2x+5
------------ <3
x +1
Solving this will give X>2

For X<0 i.e value of X as negative

-2x+5
------------ <3
x +1

Doubt 1:- IS the above expression true when X<0;
Dount 2:- If yes, then after solving this i am getting X>2/5, which is not a solution of this.

Where i am wrong in getting concept of inequality. Please explain

_________________
Restlessness and discontent are the first necessities of progress.--Thomas A. Edison

If you find this post helpful, let me know by clicking thanks above

Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
killer1387 GMAT Destroyer!
Joined
03 Apr 2011
Posted:
583 messages
Followed by:
4 members
Thanked:
52 times
Tue Mar 13, 2012 4:26 am
shekhar.kataria wrote:
Find the solution to the inequality :
2x+5
------------ <3
|x| +1

1.x < -2/5 or x > 1
2.x < -1 or x > 2/5
3.x < -2/5 or x > 2
4.x > -2/5 or x < 2
5.x > 1 or x < -1

Pleas tell what is the problem within my approach :-

I am considering two secanarios, one is X>=0 and other is X<0; X can not be zero because if X=0 , inequality doesn't stand correct.

FOR X>0 ;
2x+5
------------ <3
x +1
Solving this will give X>2

For X<0 i.e value of X as negative

-2x+5
------------ <3
x +1

should be
2x+5
------------ <3
-x +1

Doubt 1:- IS the above expression true when X<0;
Dount 2:- If yes, then after solving this i am getting X>2/5, which is not a solution of this.

Where i am wrong in getting concept of inequality. Please explain
here 3 is correct.
my approach:

2x+5 <3*(|x| +1 ) (|x| +1 is positive hence no change of sign)

i.e. 3|x|-2x>2
for x>0;
x>2

for x<0
x< -2/5

hence C.

### Best Conversation Starters

1 varun289 38 topics
2 killerdrummer 22 topics
3 sana.noor 20 topics
4 sanaa.rizwan 14 topics
5 guerrero 14 topics
See More Top Beat The GMAT Members...

### Most Active Experts

1 Brent@GMATPrepNow

GMAT Prep Now Teacher

204 posts
2 GMATGuruNY

The Princeton Review Teacher

136 posts
3 Jim@StratusPrep

Stratus Prep

100 posts
4 Anju@Gurome

Gurome

74 posts