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

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

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

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

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

Interval Notation

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

Decimal Notation

x < - 2 or 1 < x < 2.5

Solution steps

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

Rewrite in standard form

\frac{2 x - 5}{( x + 2 ) ( x - 1 )} < 0

Identify the intervals

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

\frac{5 n ^{8}}{20 n ^{8}}

\frac{1}{2} + \frac{2}{3} - \frac{7}{4}

\frac{3}{5} x - 7 \leq 5 x - \frac{9}{5}

- 3 x^{3} + 3 x^{2} + 6 x

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