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(x-1)*(x-2)*(x-3)/(x+1)(x+2)(x+3)<1 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
(x - 1)*(x - 2)*(x - 3)                    
-----------------------*(x + 2)*(x + 3) < 1
         x + 1                             
$$\frac{\left(x - 2\right) \left(x - 1\right) \left(x - 3\right)}{x + 1} \left(x + 2\right) \left(x + 3\right) < 1$$
(((((x - 2)*(x - 1))*(x - 3))/(x + 1))*(x + 2))*(x + 3) < 1
Solución de la desigualdad en el gráfico
Respuesta rápida [src]
  /   /                   / 5    4       3       2               \\     /           / 5    4       3       2               \         / 5    4       3       2               \    \     /           / 5    4       3       2               \         / 5    4       3       2               \    \\
Or\And\-1 < x, x < CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 2//, And\x < CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 1/, CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 0/ < x/, And\x < CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 4/, CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 3/ < x//
$$\left(-1 < x \wedge x < \operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 2\right)}\right) \vee \left(x < \operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 1\right)} \wedge \operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 0\right)} < x\right) \vee \left(x < \operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 4\right)} \wedge \operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 3\right)} < x\right)$$
((-1 < x)∧(x < CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 2)))∨((x < CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 1))∧(CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 0) < x))∨((x < CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 4))∧(CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 3) < x))
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  - 13*x  + 13*x  + 35*x - 37, 0/, CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 1/) U (-1, CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 2/) U (CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 3/, CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 4/)
$$x\ in\ \left(\operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 0\right)}, \operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 1\right)}\right) \cup \left(-1, \operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 2\right)}\right) \cup \left(\operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 3\right)}, \operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 4\right)}\right)$$
x in Union(Interval.open(-1, CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 2)), Interval.open(CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 0), CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 1)), Interval.open(CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 3), CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 4)))