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Popular >

x>= 9/x

Solution

x \geq \frac{9}{x}

Solution

- 3 \leq x < 0 or x \geq 3

+1

Interval Notation

[- 3, 0) \cup [3, \infty)

Solution steps

x \geq \frac{9}{x}

Rewrite in standard form

\frac{x ^{2} - 9}{x} \geq 0

Factor

\frac{x ^{2} - 9}{x} : \frac{( x + 3 ) ( x - 3 )}{x}

\frac{( x + 3 ) ( x - 3 )}{x} \geq 0

Identify the intervals

- 3 \leq x < 0 or x \geq 3

Popular Examples

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

\frac{( x ^{2} - x + 2 )}{( x ^{3} - 8 )} \leq 0

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

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

((2*(x-2)^3+9))/((x*(x+2)^2))>2

\frac{( 2 \cdot ( x - 2 ) ^{3} + 9 )}{( x \cdot ( x + 2 ) ^{2} )} > 2

(x-3)2>(x-7)(x+9)

(x - 3) 2 > (x - 7) (x + 9)

\frac{8 x}{x + 1} < 8

Frequently Asked Questions (FAQ)

What is x>= 9/x ?
The solution to x>= 9/x is -3<= x<0\lor x>= 3