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If rs>0, which of the following cannot be true?

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If rs>0, which of the following cannot be true? [#permalink]

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New post 20 Jan 2017, 05:27
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If rs>0, which of the following cannot be true?

A. r>0 B. s>0 C. r+s>0 D. r+s<0 E. r<0<s
[Reveal] Spoiler: OA

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Re: If rs>0, which of the following cannot be true? [#permalink]

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New post 20 Jan 2017, 05:51
For rs>0 to be true, the multiplication of r and s should be greater than 0, the possible cases are when a and be both are either positive or negative. choice E violates this condition.
So, correct answer is E
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Re: If rs>0, which of the following cannot be true? [#permalink]

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New post 22 Jan 2017, 21:36
==> With 0 in the middle, r and s has to be at the same place, E. r<0<s is impossible.

Therefore, the answer is E.
Answer: E
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Re: If rs>0, which of the following cannot be true? [#permalink]

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New post 03 Mar 2017, 22:58
hi can you guys explain option E
I failed to understand it
Thanks
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Re: If rs>0, which of the following cannot be true? [#permalink]

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New post 14 Aug 2017, 02:20
r +s <0
both could be negative, so it turns out rs >0..
I just figured..
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If rs>0, which of the following cannot be true? [#permalink]

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New post 14 Aug 2017, 08:48
MathRevolution wrote:
If rs>0, which of the following cannot be true?

A. r>0 B. s>0 C. r+s>0 D. r+s<0 E. r<0<s

If r*s is positive, r and s are either both positive or both negative.

Answer E says one is negative and the other is positive. Not possible.

Answers A through D can be true. For A and B, one variable can be positive if the other one is positive too. For C, r and s are both positive. For D, r and s are both negative.

Answer E
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Re: If rs>0, which of the following cannot be true? [#permalink]

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New post 18 Aug 2017, 08:02
MathRevolution wrote:
If rs>0, which of the following cannot be true?

A. r>0 B. s>0 C. r+s>0 D. r+s<0 E. r<0<s


Since rs > 0, either both r and s are positive or both r and s are negative. Thus, answer choice E, in which r is negative and s is positive, cannot occur.

Answer: E
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Re: If rs>0, which of the following cannot be true?   [#permalink] 18 Aug 2017, 08:02
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