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Popular >

x/(x-1)> 1/x

Solution

\frac{x}{x - 1} > \frac{1}{x}

Solution

x < 0 or x > 1

+1

Interval Notation

(- \infty, 0) \cup (1, \infty)

Solution steps

\frac{x}{x - 1} > \frac{1}{x}

Rewrite in standard form

\frac{x ^{2} - x + 1}{x ( x - 1 )} > 0

Identify the intervals

x < 0 or x > 1

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Frequently Asked Questions (FAQ)

What is x/(x-1)> 1/x ?
The solution to x/(x-1)> 1/x is x<0\lor x>1