5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
I'm starting to hate inequalities.. here another one!
This topic has expert replies
-
mjjking
- Master | Next Rank: 500 Posts
- Posts: 353
- Joined: Sat Jan 20, 2007 1:29 am
- Location: Italy
- Thanked: 7 times
- GMAT Score:720
thanks folks!
- Attachments
-
Beat The GMAT - 1st priority
Enter a top MBA program - 2nd priority
Loving my wife: MOST IMPORTANT OF ALL!
REAL THING 1 (AUG 2007): 680 (Q43, V40)
REAL THING 2 (APR 2009): 720 (Q47, V41)
Enter a top MBA program - 2nd priority
Loving my wife: MOST IMPORTANT OF ALL!
REAL THING 1 (AUG 2007): 680 (Q43, V40)
REAL THING 2 (APR 2009): 720 (Q47, V41)
-
Tryingmybest
- Master | Next Rank: 500 Posts
- Posts: 168
- Joined: Thu Nov 13, 2008 4:34 am
- Location: Pittsburgh
- Thanked: 9 times
Given -2x>3y
A) y is positive means 3y is positive if -2x> 3y then - 2x must be positive implies x is negative
Sufficient
B) 2x+5y- 20 = 0 => 2x+5y = 20 ___A
Given -2x>3y => -2x-3y > 0 => -(2x+3y)>0 => 2x+3y<0
Rewrite Equation A=> 2x+3y+2y= 20 The bold portion is negative so y must be positive
y is positive means 3y is positive if -2x> 3y then - 2x must be positive implies x is negative
Sufficient
D
A) y is positive means 3y is positive if -2x> 3y then - 2x must be positive implies x is negative
Sufficient
B) 2x+5y- 20 = 0 => 2x+5y = 20 ___A
Given -2x>3y => -2x-3y > 0 => -(2x+3y)>0 => 2x+3y<0
Rewrite Equation A=> 2x+3y+2y= 20 The bold portion is negative so y must be positive
y is positive means 3y is positive if -2x> 3y then - 2x must be positive implies x is negative
Sufficient
D
Last edited by Tryingmybest on Thu Mar 26, 2009 10:38 am, edited 1 time in total.
-
DanaJ
- Site Admin
- Posts: 2567
- Joined: Thu Jan 01, 2009 10:05 am
- Thanked: 712 times
- Followed by:550 members
- GMAT Score:770
So you get that -2x > 3y.
1. y > 0 means that 3y > 0. Since -2x > 3y > 0, then you get that -2x > 0. Divide by -2 on each side to get that x < 0. So 1 is sufficient.
2. 2x + 5y - 20 = 0 makes 2x = 20 - 5y. This means that -2x = 5y - 20. Replace this in your initial inequality to get:
5y - 20 > 3y
2y - 20 > 0
y > 10 > 0, meaning that y > 0, so you're back at stmt 1. This is why 2 is sufficient as well.
1. y > 0 means that 3y > 0. Since -2x > 3y > 0, then you get that -2x > 0. Divide by -2 on each side to get that x < 0. So 1 is sufficient.
2. 2x + 5y - 20 = 0 makes 2x = 20 - 5y. This means that -2x = 5y - 20. Replace this in your initial inequality to get:
5y - 20 > 3y
2y - 20 > 0
y > 10 > 0, meaning that y > 0, so you're back at stmt 1. This is why 2 is sufficient as well.
