What is (((x+3)(x-1)))/((x^2*(x-20)^3))<= 0 ?

The solution to (((x+3)(x-1)))/((x^2*(x-20)^3))<= 0 is x<=-3\lor 1<= x<20

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(((x+3)(x-1)))/((x^2*(x-20)^3))<= 0

\frac{( ( x + 3 ) ( x - 1 ) )}{( x ^{2} \cdot ( x - 20 ) ^{3} )} \leq 0

x \leq - 3 or 1 \leq x < 20

Interval Notation

(- \infty, - 3] \cup [1, 20)

Solution steps

\frac{( x + 3 ) ( x - 1 )}{x ^{2} ( x - 20 ) ^{3}} \leq 0

Identify the intervals

x \leq - 3 or 1 \leq x < 20

(x + 1) (x - 1) (x - 3) > 0

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

(x - 1)^{4} > 0

\frac{x ^{3} ( x - 2 ) ( 5 - x )}{( x ^{2} - 4 ) ( x + 1 )} > 0

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

What is (((x+3)(x-1)))/((x^2*(x-20)^3))<= 0 ?
The solution to (((x+3)(x-1)))/((x^2*(x-20)^3))<= 0 is x<=-3\lor 1<= x<20