What is (4x-6)/((x+9)(x+1))>= 0 ?

The solution to (4x-6)/((x+9)(x+1))>= 0 is -9 = 3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(4x-6)/((x+9)(x+1))>= 0

\frac{4 x - 6}{( x + 9 ) ( x + 1 )} \geq 0

- 9 < x < - 1 or x \geq \frac{3}{2}

Interval Notation

(- 9, - 1) \cup [\frac{3}{2}, \infty)

Decimal Notation

- 9 < x < - 1 or x \geq 1.5

Solution steps

\frac{4 x - 6}{( x + 9 ) ( x + 1 )} \geq 0

Factor

\frac{4 x - 6}{( x + 9 ) ( x + 1 )} : \frac{2 ( 2 x - 3 )}{( x + 9 ) ( x + 1 )}

\frac{2 ( 2 x - 3 )}{( x + 9 ) ( x + 1 )} \geq 0

Divide both sides by

2

\frac{\frac{2 ( 2 x - 3 )}{( x + 9 ) ( x + 1 )}}{2} \geq \frac{0}{2}

Simplify

\frac{2 x - 3}{( x + 9 ) ( x + 1 )} \geq 0

Identify the intervals

- 9 < x < - 1 or x \geq \frac{3}{2}

2 x^{2} = 27 - x^{2}

\frac{1}{8} x^{2} - x - 16 = 0

w + 5 < 8

6 p^{2} + p - 4 = 0

5 x + 2 = 2 x + 14

What is (4x-6)/((x+9)(x+1))>= 0 ?
The solution to (4x-6)/((x+9)(x+1))>= 0 is -9<x<-1\lor x>= 3/2