What is ((4x+3))/((2x-5))<6 ?

The solution to ((4x+3))/((2x-5)) 33/8

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((4x+3))/((2x-5))<6

\frac{( 4 x + 3 )}{( 2 x - 5 )} < 6

x < \frac{5}{2} or x > \frac{33}{8}

Interval Notation

(- \infty, \frac{5}{2}) \cup (\frac{33}{8}, \infty)

Decimal Notation

x < 2.5 or x > 4.125

Solution steps

\frac{4 x + 3}{2 x - 5} < 6

Rewrite in standard form

\frac{- 8 x + 33}{2 x - 5} < 0

Identify the intervals

x < \frac{5}{2} or x > \frac{33}{8}

\frac{( x - 4 )}{( 2 x - 3 )} < 3

x + 1 < \frac{6}{x}

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

\frac{x - 3}{2 x - 4} > 0

(x + 4)^{2} < 0

What is ((4x+3))/((2x-5))<6 ?
The solution to ((4x+3))/((2x-5))<6 is x< 5/2 \lor x> 33/8