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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

Popular Examples

(0.5)/((x-x^2-1))<0

\frac{0.5}{( x - x ^{2} - 1 )} < 0

x^3-7x^2+14x-8<0

x^{3} - 7 x^{2} + 14 x - 8 < 0

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

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

(3x^2+2x-8)/(x^2-2x)<0

\frac{3 x ^{2} + 2 x - 8}{x ^{2} - 2 x} < 0

\frac{2}{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