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

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

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

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

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

Interval Notation

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

Solution steps

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

Identify the intervals

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

\frac{( x - 3 ) ^{2}}{( ( x - 5 ) ( 1 - x ) )} > 0

\frac{( x + 5 )}{( x ^{3} + 2 x ^{2} - 15 x )} > 0

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

\frac{1 ( 5 x + 1 )}{( ( x + 1 ) ^{2} )} < 1

(1 - 0.25 \cdot x) \cdot (20 + x) > 20

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