If x>1 is an integer, y = x + 1/x, which is true stmt?

Love21

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Jan 18, 2008
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If x is an integer greater than 1 and if y = x + 1/x
which of the following must be true?

I: y doesnt equal x
II: y is an integer
III: xy > x (squared)

(a) I only
(b) III only
(c) I and II only
(d) I and III only
(e) I, II and III
 
Love21 said:
If x is an integer greater than 1 and if y = x + 1/x
which of the following must be true?

I: y doesnt equal x
II: y is an integer
III: xy > x (squared)
What have you tried? (Obviously, you've plugged a few values in for x, and seen what you've gotten for y, to get a feel for things. But what else?) What are your thoughts? How far have you gotten? Where are you stuck?

Please be complete. Thank you! :D

Eliz.
 
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