What is 2/(3x-1)>(-5)/x ?

The solution to 2/(3x-1)>(-5)/x is 0 1/3

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2/(3x-1)>(-5)/x

\frac{2}{3 x - 1} > \frac{- 5}{x}

0 < x < \frac{5}{17} or x > \frac{1}{3}

Interval Notation

(0, \frac{5}{17}) \cup (\frac{1}{3}, \infty)

Decimal Notation

0 < x < 0.29411 \dots or x > 0.33333 \dots

Solution steps

\frac{2}{3 x - 1} > \frac{- 5}{x}

Rewrite in standard form

\frac{17 x - 5}{x ( 3 x - 1 )} > 0

Identify the intervals

0 < x < \frac{5}{17} or x > \frac{1}{3}

\frac{x - 12}{6} \geq \frac{x - 6}{9} + \frac{5}{18}

∣ 3 x - 11 ∣ \leq 19

4 j - 10 k

2 x^{2} + 5 x - 12

600 = \frac{k}{40}

What is 2/(3x-1)>(-5)/x ?
The solution to 2/(3x-1)>(-5)/x is 0<x< 5/17 \lor x> 1/3