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Popular >

6/(x-2)>-x-3

Solution

\frac{6}{x - 2} > - x - 3

Solution

- 1 < x < 0 or x > 2

+1

Interval Notation

(- 1, 0) \cup (2, \infty)

Solution steps

\frac{6}{x - 2} > - x - 3

Rewrite in standard form

\frac{x ^{2} + x}{x - 2} > 0

Factor

\frac{x ^{2} + x}{x - 2} : \frac{x ( x + 1 )}{x - 2}

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

Identify the intervals

- 1 < x < 0 or x > 2

Popular Examples

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\frac{( - 2 x - 1 )}{( x - 2 )} + \frac{( x + 1 )}{x} \leq - \frac{1}{2}

(((x^2-1)*(x-2)^2))/((x-3))<0

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

- x^{2} + 2 x + 8 => 0

((x-3))/((2x-1))>= 4

\frac{( x - 3 )}{( 2 x - 1 )} \geq 4

5[-(4-3x)]<2(7x+9)

5 [- (4 - 3 x)] < 2 (7 x + 9)

Frequently Asked Questions (FAQ)

What is 6/(x-2)>-x-3 ?
The solution to 6/(x-2)>-x-3 is -1<x<0\lor x>2