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Popular >

x/(9x^2-1)>0

Solution

\frac{x}{9 x ^{2} - 1} > 0

Solution

- \frac{1}{3} < x < 0 or x > \frac{1}{3}

+2

Interval Notation

(- \frac{1}{3}, 0) \cup (\frac{1}{3}, \infty)

Decimal Notation

- 0.33333 \dots < x < 0 or x > 0.33333 \dots

Solution steps

\frac{x}{9 x ^{2} - 1} > 0

Factor

\frac{x}{9 x ^{2} - 1} : \frac{x}{( 3 x + 1 ) ( 3 x - 1 )}

\frac{x}{( 3 x + 1 ) ( 3 x - 1 )} > 0

Identify the intervals

- \frac{1}{3} < x < 0 or x > \frac{1}{3}

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2/3 x-1/5 x=x-1

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Frequently Asked Questions (FAQ)

What is x/(9x^2-1)>0 ?
The solution to x/(9x^2-1)>0 is -1/3 <x<0\lor x> 1/3