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# Is y < 2x?

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Intern
Joined: 21 Dec 2014
Posts: 14

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Updated on: 08 May 2015, 03:07
2
4
00:00

Difficulty:

5% (low)

Question Stats:

88% (01:00) correct 12% (01:04) wrong based on 158 sessions

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Is y < 2x ?

(1) y/4 < x/2

(2) (y - 2x)/3 <0

Originally posted by Jeli13 on 08 May 2015, 03:02.
Last edited by Bunuel on 08 May 2015, 03:07, edited 1 time in total.
Edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 51218
Re: Is y < 2x?  [#permalink]

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08 May 2015, 03:09
1
2
Is y < 2x ?

(1) y/4 < x/2. Multiply both sides by 4: y < 2x. Sufficient.

(2) (y - 2x)/3 < 0. Multiply both sides by 3: y - 2x < 0. Re-arrange: y < 2x. Sufficient.

Hope it's clear.
_________________
Intern
Joined: 21 Dec 2014
Posts: 14
Re: Is y < 2x?  [#permalink]

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08 May 2015, 03:15
Bunuel wrote:
Is y < 2x ?

(1) y/4 < x/2. Multiply both sides by 4: y < 2x. Sufficient.

(2) (y - 2x)/3 < 0. Multiply both sides by 3: y - 2x < 0. Re-arrange: y < 2x. Sufficient.

Hope it's clear.

That was quick! and yes it does Thank you
Manager
Joined: 28 Dec 2013
Posts: 68
Re: Is y < 2x?  [#permalink]

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12 Jan 2016, 19:16
Bunuel wrote:
Is y < 2x ?

(1) y/4 < x/2. Multiply both sides by 4: y < 2x. Sufficient.

(2) (y - 2x)/3 < 0. Multiply both sides by 3: y - 2x < 0. Re-arrange: y < 2x. Sufficient.

Hope it's clear.

Wait when do we know we can multiply or allowed to do so in inequalities or simplify?
Math Expert
Joined: 02 Aug 2009
Posts: 7108
Re: Is y < 2x?  [#permalink]

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12 Jan 2016, 19:39
sagnik242 wrote:
Bunuel wrote:
Is y < 2x ?

(1) y/4 < x/2. Multiply both sides by 4: y < 2x. Sufficient.

(2) (y - 2x)/3 < 0. Multiply both sides by 3: y - 2x < 0. Re-arrange: y < 2x. Sufficient.

Hope it's clear.

Wait when do we know we can multiply or allowed to do so in inequalities or simplify?

Hi,
you can always multiply or divide an equality/inequality by a constant number, may it be fraction,+ive or ,-ive..
But you cannot do the same by a variable like X, y etc..
the reason is we do not know the value of variable and it could be 0, but by dividing by a variable, we negate that possiblity..

4/x^2 > 4/x...
here you can eliminate 4 from both sides but not 1/x...
Hope it helps
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

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Joined: 09 Sep 2013
Posts: 9181
Re: Is y < 2x?  [#permalink]

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02 Jul 2018, 23:06
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: Is y < 2x? &nbs [#permalink] 02 Jul 2018, 23:06
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