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If −y ≥ x, and −x < −5, then which of the following must be true?

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If −y ≥ x, and −x < −5, then which of the following must be true? [#permalink]

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New post 02 Sep 2016, 04:52
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A
B
C
D
E

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50% (01:00) correct 50% (01:02) wrong based on 203 sessions

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Re: If −y ≥ x, and −x < −5, then which of the following must be true? [#permalink]

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New post 02 Sep 2016, 05:44
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-y> x; -x<-5

--> y<-x; -x<-5

--> y<-x<-5

--> y<-5

--> -y>5 ---> IMO answer is C
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Re: If −y ≥ x, and −x < −5, then which of the following must be true? [#permalink]

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New post 02 Sep 2016, 06:14
Provided info:

−y ≥ x, and −x < −5

y <= -x < -5

As '-x' is less than '-5' and Y is less than or equal to '-x'

we have y < -5 which is similar to -y > 5.


Point to remember : when dealing with inequalities and when multiplying with negative sign on both sides of the equation, we have to change the inequality.
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Re: If −y ≥ x, and −x < −5, then which of the following must be true? [#permalink]

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New post 11 Oct 2017, 23:56
-y>=x and -x<-5 or x>5
hence -y>=x>5 or -y>5
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Re: If −y ≥ x, and −x < −5, then which of the following must be true? [#permalink]

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Bunuel wrote:
If −y ≥ x, and −x < −5, then which of the following must be true?

A. y = −5
B. y > −5
C. −y > 5
D. y ≤ −5
E. y ≥ −5


Dividing both sides of the first inequality by -1, we have y ≤ -x. Since -x < -5, y < -5. However, since we don’t have this inequality in the answer choices, we can multiply both sides of y < -5 by -1 and we have -y > 5.

Answer: C
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Re: If −y ≥ x, and −x < −5, then which of the following must be true? [#permalink]

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New post 07 Jan 2018, 10:21
Bunuel wrote:
If −y ≥ x, and −x < −5, then which of the following must be true?

A. y = −5
B. y > −5
C. −y > 5
D. y ≤ −5
E. y ≥ −5


Bunuel I have a doubt, why can't the answer be D?

Given that: -x<-5 means after sign reversal: x>5
also -y >=x implies that -y >= 5
after sign reversal: y<= -5

Hence option D.
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Re: If −y ≥ x, and −x < −5, then which of the following must be true? [#permalink]

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New post 07 Jan 2018, 10:29
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ImAnkitKaushik wrote:
Bunuel wrote:
If −y ≥ x, and −x < −5, then which of the following must be true?

A. y = −5
B. y > −5
C. −y > 5
D. y ≤ −5
E. y ≥ −5


Bunuel I have a doubt, why can't the answer be D?

Given that: -x<-5 means after sign reversal: x>5
also -y >=x implies that -y >= 5
after sign reversal: y<= -5

Hence option D.


Given: x > 5 and -y >= x. Notice that C and D differ only by = sign. Here y cannot be 5 because if it is, then we'd get 5 >= x and we know that x is strictly more than 5.
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Re: If −y ≥ x, and −x < −5, then which of the following must be true?   [#permalink] 07 Jan 2018, 10:29
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