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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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21 Oct 2010, 09:14
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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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To the stronger or faster man;
But sooner or later the man who wins,
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Re: Kaplan Prep Workbook : DS Absolute Value.  [#permalink]

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21 Oct 2010, 14:26
2
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 , 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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21 Oct 2010, 22:38
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 , 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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Lifes battles dont always go,
To the stronger or faster man;
But sooner or later the man who wins,
Is the man who THINKS HE CAN .

KUDOS me if you feel my contribution has helped you.

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

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21 Oct 2010, 22:50
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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22 Oct 2010, 05:10
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 , 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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Updated on: 17 Sep 2013, 17:50
2
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, 17:26.
Last edited by Bunuel on 17 Sep 2013, 17:50, 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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17 Sep 2013, 17:42
2
1
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 $$m>5$$.

Or, you can simply notice that if m=5, then |m/5|=1, which violates |m/5|>1.
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Re: If |m/5|>1 , then which of the following must be true?  [#permalink]

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18 Sep 2013, 06:10
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 $$m>5$$.

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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Posts: 52906
Re: If |m/5|>1 , then which of the following must be true?  [#permalink]

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18 Sep 2013, 06:18
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 $$m>5$$.

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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18 Sep 2013, 10:15
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 $$m>5$$.

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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18 Sep 2013, 10:22
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 $$m>5$$.

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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05 Feb 2014, 19:05
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 $$m>5$$.

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

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07 Feb 2014, 05:37
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.

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

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07 Feb 2014, 09:01
2
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.

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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27 Jan 2019, 00:39
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, 00:39
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