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# If Y < X and XM < YM, what must be true?

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Math Expert
Joined: 02 Sep 2009
Posts: 58427
If Y < X and XM < YM, what must be true?  [#permalink]

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07 Jul 2016, 05:59
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5% (low)

Question Stats:

80% (01:08) correct 20% (01:20) wrong based on 104 sessions

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If Y < X and XM < YM, what must be true?

A. M < X.
B. M < Y.
C. X < 0.
D. M < 0.
E. Y < 0.

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Re: If Y < X and XM < YM, what must be true?  [#permalink]

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07 Jul 2016, 07:41
Bunuel wrote:
If Y < X and XM < YM, what must be true?

A. M < X.
B. M < Y.
C. X < 0.
D. M < 0.
E. Y < 0.

Case 1
M>0
then X<Y
Case 2
M<0
X>Y
ATQ Y<X
we have case 2
so M<0
Ans D
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Re: If Y < X and XM < YM, what must be true?  [#permalink]

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08 Jul 2016, 10:40
3
Bunuel wrote:
If Y < X and XM < YM, what must be true?

A. M < X.
B. M < Y.
C. X < 0.
D. M < 0.
E. Y < 0.

X>Y, bus as soon as M is multiplied to both sides inequality sign changes.

This is only possible when -ve is multiplied on both sides. That means M is -ve

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Posts: 86
Re: If Y < X and XM < YM, what must be true?  [#permalink]

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10 Jul 2016, 02:00
1
1
Since M reverses the equality so it must be -ve. so D
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Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815
Re: If Y < X and XM < YM, what must be true?  [#permalink]

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29 Jan 2018, 10:54
Bunuel wrote:
If Y < X and XM < YM, what must be true?

A. M < X.
B. M < Y.
C. X < 0.
D. M < 0.
E. Y < 0.

We see that when X and Y are multiplied by M, the inequality is switched. That means M must be less than zero.

For example, if X = 2, and Y = -3, and M = -1, we have:

-2 > -3

(2)(-1) < (-3)(-1)

2 < 3

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Re: If Y < X and XM < YM, what must be true?  [#permalink]

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29 Aug 2019, 05:05
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Re: If Y < X and XM < YM, what must be true?   [#permalink] 29 Aug 2019, 05:05
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