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Popular >

2/(3x)>-6x

Solution

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

Solution

x > 0

+1

Interval Notation

(0, \infty)

Solution steps

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

Rewrite in standard form

\frac{2 + 18 x ^{2}}{x} > 0

Factor

\frac{2 + 18 x ^{2}}{x} : \frac{2 ( 9 x ^{2} + 1 )}{x}

\frac{2 ( 9 x ^{2} + 1 )}{x} > 0

Divide both sides by

2

\frac{\frac{2 ( 9 x ^{2} + 1 )}{x}}{2} > \frac{0}{2}

Simplify

\frac{9 x ^{2} + 1}{x} > 0

Identify the intervals

x > 0

Popular Examples

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\frac{( x + 1 ) ( x - 1 ) ( x + 2 )}{( x ^{2} + 3 x + 2 ) ( x + 5 )} \leq 0

(x^2)/((x-2))>0

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

((2x+1))/((3x-6))>= 3

\frac{( 2 x + 1 )}{( 3 x - 6 )} \geq 3

100 - x^{2} \geq 0

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

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

Frequently Asked Questions (FAQ)

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