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For how many positive integer values of $x$ is $x^{-1}>x$?

 Oct 26, 2014

Best Answer 

 #1
avatar+130511 
+5

x-1 = 1/x

So we have

1/x > x

Note that there are NO positive integer values that make this true!!! These two functions intersect at x = 1 and that's the first positive integer. At all x's greater than this, 1/x < x  !!!!

 

 Oct 26, 2014
 #1
avatar+130511 
+5
Best Answer

x-1 = 1/x

So we have

1/x > x

Note that there are NO positive integer values that make this true!!! These two functions intersect at x = 1 and that's the first positive integer. At all x's greater than this, 1/x < x  !!!!

 

CPhill Oct 26, 2014

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