What is 3/(2x+3)-1/(x-2)<0 ?

The solution to 3/(2x+3)-1/(x-2)<0 is x<-3/2 \lor 2<x<9

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3/(2x+3)-1/(x-2)<0

\frac{3}{2 x + 3} - \frac{1}{x - 2} < 0

x < - \frac{3}{2} or 2 < x < 9

Interval Notation

(- \infty, - \frac{3}{2}) \cup (2, 9)

Decimal Notation

x < - 1.5 or 2 < x < 9

Solution steps

\frac{3}{2 x + 3} - \frac{1}{x - 2} < 0

Rewrite in standard form

\frac{x - 9}{( x - 2 ) ( 2 x + 3 )} < 0

Identify the intervals

x < - \frac{3}{2} or 2 < x < 9

1.5 x^{2} - 4.2 x + 2.7 = 0

(13 + 6)^{2}

\frac{3}{4} + \frac{5}{8} - \frac{7}{12}

(- 7 + 7 i) (- 10 - 9 i)

\frac{6}{15} = 2 - \frac{x}{5}

What is 3/(2x+3)-1/(x-2)<0 ?
The solution to 3/(2x+3)-1/(x-2)<0 is x<-3/2 \lor 2<x<9