What is ((3p+5))/((5p-9))> 2/7 ?

The solution to ((3p+5))/((5p-9))> 2/7 is p 9/5

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((3p+5))/((5p-9))> 2/7

\frac{( 3 p + 5 )}{( 5 p - 9 )} > \frac{2}{7}

p < - \frac{53}{11} or p > \frac{9}{5}

Interval Notation

(- \infty, - \frac{53}{11}) \cup (\frac{9}{5}, \infty)

Decimal Notation

p < - 4.81818 \dots or p > 1.8

Solution steps

\frac{3 p + 5}{5 p - 9} > \frac{2}{7}

Rewrite in standard form

\frac{11 p + 53}{5 p - 9} > 0

Identify the intervals

p < - \frac{53}{11} or p > \frac{9}{5}

(a - 2) (3 a) < 0

\frac{( x + 5 )}{( 1 - x )} \geq 0

\frac{x}{( x ^{2} - 5 x + 9 )} \leq 1

\frac{1}{x} \leq \frac{1}{3}

x + 6 x + 6 x^{2} + 6 x + 5 < 0

What is ((3p+5))/((5p-9))> 2/7 ?
The solution to ((3p+5))/((5p-9))> 2/7 is p<-53/11 \lor p> 9/5