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Is y < 2x?

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Is y < 2x?  [#permalink]

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New post Updated on: 08 May 2015, 04:07
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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, 04:02.
Last edited by Bunuel on 08 May 2015, 04:07, edited 1 time in total.
Edited the question.
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Re: Is y < 2x?  [#permalink]

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New post 08 May 2015, 04:09
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Re: Is y < 2x?  [#permalink]

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New post 08 May 2015, 04:15
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.

Answer: D.

Hope it's clear.


That was quick! and yes it does :) Thank you
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Re: Is y < 2x?  [#permalink]

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New post 12 Jan 2016, 20:16
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.

Answer: D.

Hope it's clear.


Wait when do we know we can multiply or allowed to do so in inequalities or simplify?
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Re: Is y < 2x?  [#permalink]

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New post 12 Jan 2016, 20:39
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.

Answer: D.

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
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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


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New post 03 Jul 2018, 00:06
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).

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Re: Is y < 2x? &nbs [#permalink] 03 Jul 2018, 00:06
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