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## Homework Statement

Determine the set of positive values of x that satisfy the following inequality:

(1/x) - (1/(x-1)) > (1/(x-2))

a) (0, 1) union (2^1/2, 2) b) (0, 1/2) union (1, 2) c) (1/2, 1) union (2^1/2, 2(2^1/2))

d) (0, 2^1/2) union (3/2, 2) e) (1, 2^1/2) union (2, 2(2^1/2))

## Homework Equations

i'm not sure that there are any relevant equations, just started precalc a few weeks ago and i'm not sure how to solve the problem

## The Attempt at a Solution

I've tried graphing the equation and then tracing x to find y, but I haven't been able to find an answer that way. I've also tried solving for x which i get 1/2 > x for, but I'm not sure if that applies to this problem

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