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(x-1)(x-2)(x-4)/(x+1)(x+2)(x+4)<1 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
(x - 1)*(x - 2)*(x - 4)                    
-----------------------*(x + 2)*(x + 4) < 1
         x + 1                             
$$\frac{\left(x - 2\right) \left(x - 1\right) \left(x - 4\right)}{x + 1} \left(x + 2\right) \left(x + 4\right) < 1$$
(((((x - 2)*(x - 1))*(x - 4))/(x + 1))*(x + 2))*(x + 4) < 1
Respuesta rápida 2 [src]
        / 5    4       3       2               \         / 5    4       3       2               \                / 5    4       3       2               \            / 5    4       3       2               \         / 5    4       3       2               \ 
(CRootOf\x  - x  - 20*x  + 20*x  + 63*x - 65, 0/, CRootOf\x  - x  - 20*x  + 20*x  + 63*x - 65, 1/) U (-1, CRootOf\x  - x  - 20*x  + 20*x  + 63*x - 65, 2/) U (CRootOf\x  - x  - 20*x  + 20*x  + 63*x - 65, 3/, CRootOf\x  - x  - 20*x  + 20*x  + 63*x - 65, 4/)
$$x\ in\ \left(\operatorname{CRootOf} {\left(x^{5} - x^{4} - 20 x^{3} + 20 x^{2} + 63 x - 65, 0\right)}, \operatorname{CRootOf} {\left(x^{5} - x^{4} - 20 x^{3} + 20 x^{2} + 63 x - 65, 1\right)}\right) \cup \left(-1, \operatorname{CRootOf} {\left(x^{5} - x^{4} - 20 x^{3} + 20 x^{2} + 63 x - 65, 2\right)}\right) \cup \left(\operatorname{CRootOf} {\left(x^{5} - x^{4} - 20 x^{3} + 20 x^{2} + 63 x - 65, 3\right)}, \operatorname{CRootOf} {\left(x^{5} - x^{4} - 20 x^{3} + 20 x^{2} + 63 x - 65, 4\right)}\right)$$
x in Union(Interval.open(-1, CRootOf(x^5 - x^4 - 20*x^3 + 20*x^2 + 63*x - 65, 2)), Interval.open(CRootOf(x^5 - x^4 - 20*x^3 + 20*x^2 + 63*x - 65, 0), CRootOf(x^5 - x^4 - 20*x^3 + 20*x^2 + 63*x - 65, 1)), Interval.open(CRootOf(x^5 - x^4 - 20*x^3 + 20*x^2 + 63*x - 65, 3), CRootOf(x^5 - x^4 - 20*x^3 + 20*x^2 + 63*x - 65, 4)))