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Popular >

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

Solution

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

Solution

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

+2

Interval Notation

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

Decimal Notation

- 4.5 < x < - 2 or x > 3

Solution steps

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

Rewrite in standard form

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

Identify the intervals

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

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\frac{x}{5 - 5} > 2

((x-1))/((4x+5))<((x-3))/((4x-3))

\frac{( x - 1 )}{( 4 x + 5 )} < \frac{( x - 3 )}{( 4 x - 3 )}

Frequently Asked Questions (FAQ)

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