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Popular >

1/x+1/(x-1)>= 0

Solution

\frac{1}{x} + \frac{1}{x - 1} \geq 0

Solution

0 < x \leq \frac{1}{2} or x > 1

+2

Interval Notation

(0, \frac{1}{2}] \cup (1, \infty)

Decimal Notation

0 < x \leq 0.5 or x > 1

Solution steps

\frac{1}{x} + \frac{1}{x - 1} \geq 0

Rewrite in standard form

\frac{2 x - 1}{x ( x - 1 )} \geq 0

Identify the intervals

0 < x \leq \frac{1}{2} or x > 1

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Frequently Asked Questions (FAQ)

What is 1/x+1/(x-1)>= 0 ?
The solution to 1/x+1/(x-1)>= 0 is 0<x<= 1/2 \lor x>1