Question 277460: If a non-zero integer n is chosen such that (2-16/n) is an integer less than 6
Which of the following must be true of n ?
A -8 b -6 c -4 d -3 e -1
Found 3 solutions by stanbon, Edwin McCravy, vleith:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! If a non-zero integer n is chosen such that (2-16/n) is an integer less than 6
Which of the following must be true of n ?
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Solve (2-(16/n)) < 6
Factor out a "2" and divide both sides by it:
(1-(8/n) < 3
8/n > -2
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Check: n = -8
8/-8 > -2
-1 > -2
true
---
Check: n = -6
8/-6 > -2
-4/3 > -2
true
---
Check: n = -4
8/-2> -2
-4> -2
false
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Answer: n could be -8 or n could be -6
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Cheers,
Stan H.
A -8 b -6 c -4 d -3 e -1
Answer by Edwin McCravy(20064)  (Show Source):
You can put this solution on YOUR website! If a non-zero integer n is chosen such that  is an integer less than 6
Which of the following must be true of n ?
A -8 b -6 c -4 d -3 e -1
The other tutor's answer is incorrect. He did not observe the
fact that must be an integer!
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Plug those 5 values into
Plugging in  , 
That's possible. Let's see if any of the others are:
Plugging in  ,  .
No, that's not an integer!
Plugging in  ,  .
No, 6 is not less than 6.
Plugging in  ,  .
No, that's not an integer!
Plugging in  , 
No, that's not less than 6.
So a) -8 is the only one of those that works.
Comment: The question is worded very badly, because there are
other values n could be which are not listed besides just -8.
For instance n could be any of these:
-16, -8, 1, 2, 4, 8, 16
and would be an integer less than 6.
It's just that -8 was the only one listed as a choice.
So the question should have read:
"Which of the following could n be?"
not "must be true of n"!!!
Edwin
Answer by vleith(2983) (Show Source):
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