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

The solution to ((x+2))/(x+3) 2

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

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

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

Interval Notation

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

Decimal Notation

- 3 < x < - 0.5 or x > 2

Solution steps

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

Rewrite in standard form

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

Identify the intervals

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

(8 x)^{\frac{1}{2}}

x^{2} - 16 x + 7 = 0

7 x^{2} - 35 x - 28

\frac{1}{3} (5)

3 x + 2 x + 6 = 6 x - 5

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