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Is -3x > -3y ? (1) x < y (2) x > 0

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Simba87
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Is -3x > -3y ? (1) x < y (2) x > 0 [#permalink] Is -3x > -3y ? (1) x < y (2) x > 0   Updated on: 14 Aug 2018, 02:55
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Is -3x > -3y ?

(1) x < y
(2) x > 0
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A

Originally posted by Simba87 on 14 Aug 2018, 02:50.
Last edited by Bunuel on 14 Aug 2018, 02:55, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: Is -3x > -3y ? (1) x < y (2) x > 0 [#permalink] Is -3x > -3y ? (1) x < y (2) x > 0   14 Aug 2018, 02:55
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Simba87
hi, got the below DS on GMAT prep. The OA is A ...which I am struggling to understand as surely it will depend on the signs as well and there for be C?

Is –3x > –3y ?

(1) x < y
(2) x > 0 

Show Spoiler
A

Let's solve the asked question :
-3x > -3y
3y - 3x > 0
y -x > 0
y>x - So the question asks is Y>X?

A gives us the exact answer here.
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Re: Is -3x > -3y ? (1) x < y (2) x > 0 [#permalink] Is -3x > -3y ? (1) x < y (2) x > 0   14 Aug 2018, 09:32
-3x>-3y

Divide both side of the equality by-3

It gives x<y. So question is x<y

(1) x<y. Directly gives the answer.[Suff]

(2) x>0. No inf about y [Insuff]

Answer: A.
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Re: Is -3x > -3y ? (1) x < y (2) x > 0 [#permalink] Is -3x > -3y ? (1) x < y (2) x > 0   14 Mar 2021, 22:23
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Leo8
Simba87
hi, got the below DS on GMAT prep. The OA is A ...which I am struggling to understand as surely it will depend on the signs as well and there for be C?

Is –3x > –3y ?

(1) x < y
(2) x > 0 

Show Spoiler
A

Let's solve the asked question :
-3x > -3y
3y - 3x > 0
y -x > 0
y>x - So the question asks is Y>X?

A gives us the exact answer here.
i had thought this to be the approach, however, i tried plugging in the values, say x=2, y=3 which gives -3x=-6 and -3y=-9, so the statement holds true. However, for -ve nos. say x=-3 and y=-2, -9 is not > than -6. thus we get a yes and a no for 'A'. However combining it with statement (2), and imposing that both numbers are positive, we get the desired result. Hence I answered 'C'
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Re: Is -3x > -3y ? (1) x < y (2) x > 0 [#permalink] Is -3x > -3y ? (1) x < y (2) x > 0   31 Mar 2021, 01:03
raafreen
Leo8
Simba87
hi, got the below DS on GMAT prep. The OA is A ...which I am struggling to understand as surely it will depend on the signs as well and there for be C?

Is –3x > –3y ?

(1) x < y
(2) x > 0 

Show Spoiler
A

Let's solve the asked question :
-3x > -3y
3y - 3x > 0
y -x > 0
y>x - So the question asks is Y>X?

A gives us the exact answer here.
i had thought this to be the approach, however, i tried plugging in the values, say x=2, y=3 which gives -3x=-6 and -3y=-9, so the statement holds true. However, for -ve nos. say x=-3 and y=-2, -9 is not > than -6. thus we get a yes and a no for 'A'. However combining it with statement (2), and imposing that both numbers are positive, we get the desired result. Hence I answered 'C'

raafreen If you consider x = -3 and y = -2 then -3x = 9 and -3y = 6. Thus 9 > 6 YES

Note: -3 (-3) = +9 not -9 ; -3 (-2) = +6 not -6
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Is -3x > -3y ? (1) x < y (2) x > 0 [#permalink] Is -3x > -3y ? (1) x < y (2) x > 0   10 Dec 2021, 15:14
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Simba87
Is -3x > -3y ?

(1) x < y
(2) x > 0

Target question: Is -3x > -3y ?
This is a good candidate for rephrasing the target question.
Take -3x > -3y
Divide both sides of the inequality by -3 to get: x < y [Since I divided both sides by a NEGATIVE number, I had to reverse the direction of the inequality symbol. See the video below for more information ]
REPHRASED target question: Is x < y?

Statement 1: x < y
Perfect!
The answer to the REPHRASED target question is a resounding YES!
Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT

Statement 2: x > 0
Since no information about the value of y is provided, statement 2 is NOT SUFFICIENT

Answer: A

RELATED VIDEOS

Rephrasing the Target Question:


Inequalities:
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Re: Is -3x > -3y ? (1) x < y (2) x > 0 [#permalink] Is -3x > -3y ? (1) x < y (2) x > 0   27 Jan 2023, 05:52
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 -3x > -3y ? (1) x < y (2) x > 0 [#permalink]
27 Jan 2023, 05:52
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