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If |m/5|>1 , then which of the following must be true?

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If |m/5|>1 , then which of the following must be true?  [#permalink]

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New post 21 Oct 2010, 10:14
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If |m/5|>1 , then which of the following must be true?

A. m>5
B. m<5
C. m=5
D. m not equal to 5
E. m<(-5)
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Re: Kaplan Prep Workbook : DS Absolute Value.  [#permalink]

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New post 21 Oct 2010, 15:26
5
jimmy86 wrote:
If |m/5|>1 , then which of the following must be true?

A. m>5
B. m<5
C. m=5
D. m not equal to 5
E. m<(-5)



I feel the answer is debatable :evil: , so felt i should post it and get it reviewed.


|m/5|>1
Hence |m| > 5
Which means either m>5 or m<-5

A. m>5 : Can be true (m=6) or false (m=-6)
B. m<5 : Can be true (m=-6) or false (m=6)
C. m=5 : Cannot be true. m is either >5 or <-5
D. m not equal to 5 : Has to be true as m is either >5 or <-5
E. m<(-5) : Can be true (m=-6) or false (m=6)

So no ambiguity, answer is (d)
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Re: Kaplan Prep Workbook : DS Absolute Value.  [#permalink]

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New post 21 Oct 2010, 23:38
shrouded1 wrote:
jimmy86 wrote:
If |m/5|>1 , then which of the following must be true?

A. m>5
B. m<5
C. m=5
D. m not equal to 5
E. m<(-5)



I feel the answer is debatable :evil: , so felt i should post it and get it reviewed.


|m/5|>1
Hence |m| > 5
Which means either m>5 or m<-5

A. m>5 : Can be true (m=6) or false (m=-6)
B. m<5 : Can be true (m=-6) or false (m=6)
C. m=5 : Cannot be true. m is either >5 or <-5
D. m not equal to 5 : Has to be true as m is either >5 or <-5
E. m<(-5) : Can be true (m=-6) or false (m=6)

So no ambiguity, answer is (d)


I am still not convinced... we get m>5 from solving the inequality thus m>5 or m<-5 has to be true cause we derived it from a stated inequality.
Although i am certainly convinced with D.
So is the logic difference between MUST BE TRUE and CAN BE TURE??
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Re: Kaplan Prep Workbook : DS Absolute Value.  [#permalink]

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New post 21 Oct 2010, 23:50
Yes, it's because the Q says must be true that ww have to rule out m>5

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Re: Kaplan Prep Workbook : DS Absolute Value.  [#permalink]

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New post 22 Oct 2010, 06:10
jimmy86 wrote:
shrouded1 wrote:
jimmy86 wrote:
If |m/5|>1 , then which of the following must be true?

A. m>5
B. m<5
C. m=5
D. m not equal to 5
E. m<(-5)



I feel the answer is debatable :evil: , so felt i should post it and get it reviewed.


|m/5|>1
Hence |m| > 5
Which means either m>5 or m<-5

A. m>5 : Can be true (m=6) or false (m=-6)
B. m<5 : Can be true (m=-6) or false (m=6)
C. m=5 : Cannot be true. m is either >5 or <-5
D. m not equal to 5 : Has to be true as m is either >5 or <-5
E. m<(-5) : Can be true (m=-6) or false (m=6)

So no ambiguity, answer is (d)


I am still not convinced... we get m>5 from solving the inequality thus m>5 or m<-5 has to be true cause we derived it from a stated inequality.
Although i am certainly convinced with D.
So is the logic difference between MUST BE TRUE and CAN BE TURE??


correct. M > 5 can be true but not must be true.
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If |m/5|>1 , then which of the following must be true?  [#permalink]

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New post Updated on: 17 Sep 2013, 18:50
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If |m/5|>1 , then which of the following must be true?

A. m>5
B. m<5
C. m=5
D. m not equal to 5
E. m<(-5)

Originally posted by jlgdr on 17 Sep 2013, 18:26.
Last edited by Bunuel on 17 Sep 2013, 18:50, edited 1 time in total.
Moved to PS forum.
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Re: If |m/5|>1 , then which of the following must be true?  [#permalink]

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New post 17 Sep 2013, 18:42
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Re: If |m/5|>1 , then which of the following must be true?  [#permalink]

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New post 18 Sep 2013, 07:10
Bunuel wrote:
jlgdr wrote:
If |m/5|>1 , then which of the following must be true?

A. m>5
B. m<5
C. m=5
D. m not equal to 5
E. m<(-5)


\(|\frac{m}{5}|>1\) --> \(|m|>5\) --> \(m<-5\) or \(m>5\).

Answer: D.

Or, you can simply notice that if m=5, then |m/5|=1, which violates |m/5|>1.




I got the right anser but i'm still not satisfied what if m is 1 then 1/5 < 1
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Re: If |m/5|>1 , then which of the following must be true?  [#permalink]

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New post 18 Sep 2013, 07:18
b2bt wrote:
Bunuel wrote:
jlgdr wrote:
If |m/5|>1 , then which of the following must be true?

A. m>5
B. m<5
C. m=5
D. m not equal to 5
E. m<(-5)


\(|\frac{m}{5}|>1\) --> \(|m|>5\) --> \(m<-5\) or \(m>5\).

Answer: D.

Or, you can simply notice that if m=5, then |m/5|=1, which violates |m/5|>1.




I got the right anser but i'm still not satisfied what if m is 1 then 1/5 < 1


m cannot be 1, since in this case |m/5|>1 is not satisfied.
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Re: If |m/5|>1 , then which of the following must be true?  [#permalink]

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New post 18 Sep 2013, 11:15
Bunuel wrote:
jlgdr wrote:
If |m/5|>1 , then which of the following must be true?

A. m>5
B. m<5
C. m=5
D. m not equal to 5
E. m<(-5)


\(|\frac{m}{5}|>1\) --> \(|m|>5\) --> \(m<-5\) or \(m>5\).

Answer: D.

Or, you can simply notice that if m=5, then |m/5|=1, which violates |m/5|>1.


hi, I'm sorry but I don't understand why the answer is not A. if M is negative, it would violate the [m/5]>1 as well, so why is it M not greater than 5? Thank you in advance for explaining!
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Re: If |m/5|>1 , then which of the following must be true?  [#permalink]

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New post 18 Sep 2013, 11:22
yeshuz92 wrote:
Bunuel wrote:
jlgdr wrote:
If |m/5|>1 , then which of the following must be true?

A. m>5
B. m<5
C. m=5
D. m not equal to 5
E. m<(-5)


\(|\frac{m}{5}|>1\) --> \(|m|>5\) --> \(m<-5\) or \(m>5\).

Answer: D.

Or, you can simply notice that if m=5, then |m/5|=1, which violates |m/5|>1.


hi, I'm sorry but I don't understand why the answer is not A. if M is negative, it would violate the [m/5]>1 as well, so why is it M not greater than 5? Thank you in advance for explaining!


Notice that in \(|\frac{m}{5}|>1\), |m/5| is in modulus. Now, if m is say -10, then we'd have \(|\frac{-10}{5}|=2>1\).

Does this make sense?
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Re: If |m/5|>1 , then which of the following must be true?  [#permalink]

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New post 05 Feb 2014, 20:05
Bunuel wrote:
jlgdr wrote:
If |m/5|>1 , then which of the following must be true?

A. m>5
B. m<5
C. m=5
D. m not equal to 5
E. m<(-5)


\(|\frac{m}{5}|>1\) --> \(|m|>5\) --> \(m<-5\) or \(m>5\).

Answer: D.

Or, you can simply notice that if m=5, then |m/5|=1, which violates |m/5|>1.


I got the right answer but just because I eliminated some... Meaning, what I actually got is that M<-5 and M>5 so basically A and E are right too, but since that said the same thing i picked does not equal to 5 which is true as welll but so are the other 2 options... hence I do not fully understand it...


Thank you so much.
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Re: If |m/5|>1 , then which of the following must be true?  [#permalink]

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New post 07 Feb 2014, 06:37
Why can't the answer be A. M>5 would meet the need of the problem. Isn't it?
For that matter D does not fully answer it. For example, if M is 4 ("which is also not equal to 5") doesn't fit the problem.

Please explain. thanks in advance.
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Re: If |m/5|>1 , then which of the following must be true?  [#permalink]

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New post 07 Feb 2014, 10:01
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saintsaurabh wrote:
Why can't the answer be A. M>5 would meet the need of the problem. Isn't it?
For that matter D does not fully answer it. For example, if M is 4 ("which is also not equal to 5") doesn't fit the problem.

Please explain. thanks in advance.
Saurabh


m>5 is not correct because m can be for example -10 (notice that this value of m satisfies |m/5|>1) and in this case m is NOT greater than 5.

As for D. The question asks: which of the following must be true? Ask yourself can m be 5? No, because if m=5, then the condition that |m/5|>1 is NOT satisfied, hence we can say for sure that m is not equal to 5.

Hope it's clear.
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Re: If |m/5|>1 , then which of the following must be true?  [#permalink]

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New post 27 Jan 2019, 01:39
one thing we can say seeing the expression is that whatever might be the sign of m be it would not be equal to 5 , since value of m irrespective of being > or< 5 .
and |m/5|>1 would be valid only when m not equal to 5
IMO D

jimmy86 wrote:
If |m/5|>1 , then which of the following must be true?

A. m>5
B. m<5
C. m=5
D. m not equal to 5
E. m<(-5)
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Re: If |m/5|>1 , then which of the following must be true?   [#permalink] 27 Jan 2019, 01:39
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