Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

If -2x > 3y, is x negative? [#permalink]
23 May 2010, 01:49

1

This post received KUDOS

Expert's post

If -2x>3y , is x negative

Given: -2x>3y. Question: is x<0? (Note here that if y is any positive number then we would have -2x>positive, and in order that to be true x must be some negative number).

(1) y>0 --> -2x>3y>0 --> x<0. Sufficient.

(2) 2x+5y-20=0 --> 2x=20-5y --> -20+5y>3y --> y>10. The same as above: x<0. Sufficient.

Given: -2x>3y. Q: is x<0? (Note here that if y is any positive number than we would have -2x>positive, and in order that to be true x must be some negative number).

(1) y>0 --> -2x>3y>0 --> x<0. Sufficient.

(2) 2x+5y-20=0 --> 2x=20-5y --> -20+5y>3y --> y>10. Same as above: x<0. Sufficient.

Answer: D.

Can you please explain stmt. 2 again. Unable to understand the following stmt---

-20+5y>3y _________________

GGG (Gym / GMAT / Girl) -- Be Serious

Its your duty to post OA afterwards; some one must be waiting for that...

Given: -2x>3y. Q: is x<0? (Note here that if y is any positive number then we would have -2x>positive, and in order that to be true x must be some negative number).

(1) y>0 --> -2x>3y>0 --> x<0. Sufficient.

(2) 2x+5y-20=0 --> 2x=20-5y --> -20+5y>3y --> y>10. Same as above: x<0. Sufficient.

Answer: D.

Can you please explain stmt. 2 again. Unable to understand the following stmt---

-20+5y>3y

(2) 2x+5y-20=0 --> 2x=20-5y --> given -2x>3y, substitute 2x --> -(20-5y)>3y --> -20+5y>3y --> y>10 --> y=positive, as discussed above if y is any positive number then x must be some negative number: x<0. Sufficient.

Re: If -2x > 3y, is x negative? (1) y > 0 (2) 2x + 5y - 20 = 0 [#permalink]
29 Jun 2013, 06:45

1

This post received KUDOS

fozzzy wrote:

In statement 2 we can write the equation 2x+3y+2y = 20 we know 2x+3y is positive and we get y = 10 hence same as statement 1 is this approach correct?

If -2x > 3y, is x negative?

(1) y > 0 -2x > +ve number, hence x is negative. Sufficient

(2) 2x + 5y - 20 = 0 The area defined by -2x > 3y is the area under the red line. If we know that 2x + 5y - 20 = 0 (blue line) (given the initial condition) we can say that x is negative because they intersect when x is negative. (refer to the image) Sufficient

Your approach is correct. We know that 2x+3y is negative (typo I think), so 2x + 3y +2y= 20 can be seen as -ve +2y=20 so y is positive for sure as 2y=20+(+ve)

Attachments

Immagine.JPG [ 23.99 KiB | Viewed 1255 times ]

_________________

It is beyond a doubt that all our knowledge that begins with experience.

Re: If -2x > 3y, is x negative [#permalink]
24 Aug 2013, 23:04

SUNGMAT710 wrote:

If -2x > 3y, is x negative? (1) y > 0 (2) 2x + 5y - 20 = 0

-2x > 3y 2x + 3y<0 -----(1)

Statement 1 If y>0 & 2x + 3y<0

Then x must be Negative. Sufficient

Statement 2 2x + 5y - 20 = 0 2x + 5y = 20 (2x + 3y) + 2y=20 We can write 2y + some negative no = 20 2y = 20 + some Positiveno y = 10 + some Positiveno/2 This mean that y>10

2x + 3y<0 2x< -3y x < -1.5 (Positive no) because y is positive

Then x must be Negative. Sufficient

Answer D _________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS. Kudos always maximizes GMATCLUB worth-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply