en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6/((2x+3))<0

Solution

\frac{6}{( 2 x + 3 )} < 0

Solution

x < - \frac{3}{2}

+2

Interval Notation

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

Decimal Notation

x < - 1.5

Solution steps

\frac{6}{2 x + 3} < 0

Divide both sides by

6

\frac{\frac{6}{2 x + 3}}{6} < \frac{0}{6}

Simplify

\frac{1}{2 x + 3} < 0

If

\frac{1}{a} < 0

then

a < 0

2 x + 3 < 0

Move

3

to the right side

2 x < - 3

Divide both sides by

2

x < - \frac{3}{2}

Popular Examples

\frac{x ^{2} + 1}{x} \geq 2

n^{2} \leq 4

((x+2))/((x^2+5x+6))>= 0

\frac{( x + 2 )}{( x ^{2} + 5 x + 6 )} \geq 0

((-3x))/((x+2)-5)>= 0

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

((-x^2-1))/((9-2x))>= 0

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

Frequently Asked Questions (FAQ)

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