What is ((3x+1))/(((2x+5)(5x+3)))>0 ?

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

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((3x+1))/(((2x+5)(5x+3)))>0

\frac{( 3 x + 1 )}{( ( 2 x + 5 ) ( 5 x + 3 ) )} > 0

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

Interval Notation

(- \frac{5}{2}, - \frac{3}{5}) \cup (- \frac{1}{3}, \infty)

Decimal Notation

- 2.5 < x < - 0.6 or x > - 0.33333 \dots

Solution steps

\frac{3 x + 1}{( 2 x + 5 ) ( 5 x + 3 )} > 0

Identify the intervals

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

(x + 4)^{5} (x + 3)^{6} (x + 2)^{7} (x - 1)^{8} \leq 0

\frac{( x ^{2} + x - 20 )}{( - x ^{2} + 9 )} > 0

x^{2} - 5 x + 2 < \frac{1}{2}

x^{3} + 2 x^{2} - x - 2 > 0

\frac{8}{5 ( x + \frac{3}{4} )} > (\frac{4}{9} - \frac{1}{3}) \cdot (- \frac{6}{5} x)

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