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Popular >

((3x-5))/((x^2-4))>0

Solution

\frac{( 3 x - 5 )}{( x ^{2} - 4 )} > 0

Solution

- 2 < x < \frac{5}{3} or x > 2

+2

Interval Notation

(- 2, \frac{5}{3}) \cup (2, \infty)

Decimal Notation

- 2 < x < 1.66666 \dots or x > 2

Solution steps

\frac{3 x - 5}{x ^{2} - 4} > 0

Factor

\frac{3 x - 5}{x ^{2} - 4} : \frac{3 x - 5}{( x + 2 ) ( x - 2 )}

\frac{3 x - 5}{( x + 2 ) ( x - 2 )} > 0

Identify the intervals

- 2 < x < \frac{5}{3} or x > 2

Popular Examples

4x-(17)/x-4+10x-3/2 x-3>8x-30/2 x-7

4 x - \frac{17}{x} - 4 + 10 x - \frac{3}{2} x - 3 > 8 x - \frac{30}{2} x - 7

(3 x + 3) (5 x - 3) > 0

((x-3))/((x^2+9x-22))<0

\frac{( x - 3 )}{( x ^{2} + 9 x - 22 )} < 0

4 x^{2} - 4 x + 3 < 0

((2x-3))/6-((x-1))/2 >7

\frac{( 2 x - 3 )}{6} - \frac{( x - 1 )}{2} > 7

Frequently Asked Questions (FAQ)

What is ((3x-5))/((x^2-4))>0 ?
The solution to ((3x-5))/((x^2-4))>0 is -2<x< 5/3 \lor x>2