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jimmy86
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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Yes, it's because the Q says must be true that ww have to rule out m>5

Posted from my mobile device
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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)



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?

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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Bunuel
jlgdr
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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Bunuel
jlgdr
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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Bunuel
jlgdr
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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Bunuel
jlgdr
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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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
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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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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
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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Hi Bunuel,

Instead of organizing studying by subject, I'd like to organize by strategy. For example, I'd like to be able to find problems for which testing values would be a reasonable/optimal technique. Do you have any resources that organize problems in this way?

If not, it would be great if GMAT Club could add tags for various strategies (testing values, algebra, etc.)
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