What is ((x-1))/((x+2)(x+5))<= 0 ?

The solution to ((x-1))/((x+2)(x+5))<= 0 is x<-5\lor-2<x<= 1

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((x-1))/((x+2)(x+5))<= 0

\frac{( x - 1 )}{( x + 2 ) ( x + 5 )} \leq 0

x < - 5 or - 2 < x \leq 1

Interval Notation

(- \infty, - 5) \cup (- 2, 1]

Solution steps

\frac{x - 1}{( x + 2 ) ( x + 5 )} \leq 0

Identify the intervals

x < - 5 or - 2 < x \leq 1

(5 - 3 x) - (- 4 x + 6) = (8 x + 1) - 3 (2 x + 3)

7 x < 21 or x - 4 > 1

- 5 < 5 + 2 x < 11

x^{3} + 3 x^{2} + 8 x + 24

What is ((x-1))/((x+2)(x+5))<= 0 ?
The solution to ((x-1))/((x+2)(x+5))<= 0 is x<-5\lor-2<x<= 1