What is (((x-1)^2(x+1)^3))/((x^4(x-2)))<= 0 ?

The solution to (((x-1)^2(x+1)^3))/((x^4(x-2)))<= 0 is -1<= x<0\lor 0<x<2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(((x-1)^2(x+1)^3))/((x^4(x-2)))<= 0

\frac{( ( x - 1 ) ^{2} ( x + 1 ) ^{3} )}{( x ^{4} ( x - 2 ) )} \leq 0

- 1 \leq x < 0 or 0 < x < 2

Interval Notation

[- 1, 0) \cup (0, 2)

Solution steps

\frac{( x - 1 ) ^{2} ( x + 1 ) ^{3}}{x ^{4} ( x - 2 )} \leq 0

Identify the intervals

- 1 \leq x < 0 or 0 < x < 2

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

(x^{2} + 1) (x^{2} - 2 x + 5) \geq 0

\frac{( ( x - 2 ) ^{2} \cdot ( x - 4 ) ^{4} )}{( x ^{2} - x + 1 )} \leq 0

x (x^{2} + 1) \geq 2

\frac{( x ^{2} + 7 x + 10 )}{( x ^{2} - 4 )} \geq 0

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