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

The solution to ((x+5))/((2x-1))>3 is 1/2 <x< 8/5

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

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

\frac{1}{2} < x < \frac{8}{5}

Interval Notation

(\frac{1}{2}, \frac{8}{5})

Decimal Notation

0.5 < x < 1.6

Solution steps

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

Rewrite in standard form

\frac{- 5 x + 8}{2 x - 1} > 0

Identify the intervals

\frac{1}{2} < x < \frac{8}{5}

4 m^{2} + 4 m - 8 \geq 0

- x^{2} + 2 x - 5 > 0

\frac{( - x ^{2} + 9 x - 14 )}{( 2 x ^{2} + 9 )} \geq 0

x - > \frac{- 2 ( 8 + x ^{3} )}{( x ^{2} - 4 )}

(x + 2) \cdot (x - 3) > (2 - x) \cdot (6 - x)