en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

x < - 1 or x > 1

+1

Interval Notation

(- \infty, - 1) \cup (1, \infty)

Solution steps

\frac{1}{x - 1} > \frac{1}{x + 1}

Rewrite in standard form

\frac{1}{( x - 1 ) ( x + 1 )} > 0

If

\frac{1}{a} > 0

then

a > 0

(x - 1) (x + 1) > 0

Expand

(x - 1) (x + 1) : x^{2} - 1

x^{2} - 1 > 0

Move

1

to the right side

x^{2} > 1

For

u^{n} > a

, if

n

is even then

x < - 1 or x > 1

Popular Examples

((x-1)(x-5))/((x-3))>0

\frac{( x - 1 ) ( x - 5 )}{( x - 3 )} > 0

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

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

((x+2)*(x+3))/((x-1))>0

\frac{( x + 2 ) \cdot ( x + 3 )}{( x - 1 )} > 0

(x^2+2x-3)(3x-4-x^2)>0

(x^{2} + 2 x - 3) (3 x - 4 - x^{2}) > 0

Frequently Asked Questions (FAQ)

What is 1/((x-1))> 1/((x+1)) ?
The solution to 1/((x-1))> 1/((x+1)) is x<-1\lor x>1