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(x-1)*(x-2)*(x-3)/(x+1)*(x+2)*(x+3)>1
Resolver desigualdades/ (x-1)*(x-2)*(x-3)/(x+1)*(x+2)*(x+3)>1

(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
(x−2)(x−1)(x−3)x+1(x+2)(x+3)>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
-5.0-4.0-3.0-2.0-1.05.00.01.02.03.04.0-20000002000000
Respuesta rápida 2 [src] 
             / 5    4       3       2               \            / 5    4       3       2               \                / 5    4       3       2               \         / 5    4       3       2               \            / 5    4       3       2               \     
(-oo, CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 0/) U (CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 1/, -1) U (CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 2/, CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 3/) U (CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 4/, oo)
x in (−∞,CRootOf⁡(x5−x4−13x3+13x2+35x−37,0))∪(CRootOf⁡(x5−x4−13x3+13x2+35x−37,1),−1)∪(CRootOf⁡(x5−x4−13x3+13x2+35x−37,2),CRootOf⁡(x5−x4−13x3+13x2+35x−37,3))∪(CRootOf⁡(x5−x4−13x3+13x2+35x−37,4),∞)x\ in\ \left(-\infty, \operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 0\right)}\right) \cup \left(\operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 1\right)}, -1\right) \cup \left(\operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 2\right)}, \operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 3\right)}\right) \cup \left(\operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 4\right)}, \infty\right) 
x in Union(Interval.open(-oo, CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 0)), Interval.open(CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 1), -1), Interval.open(CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 2), CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 3)), Interval.open(CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 4), oo))
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\-oo < x, x < CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 0//, And\x < -1, CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 1/ < x/, And\x < oo, CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 4/ < x/, And\x < CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 3/, CRootOf\x  - x  - 13*x  + 13*x  + 35*x - 37, 2/ < x//
(−∞<x∧x<CRootOf⁡(x5−x4−13x3+13x2+35x−37,0))∨(x<−1∧CRootOf⁡(x5−x4−13x3+13x2+35x−37,1)<x)∨(x<∞∧CRootOf⁡(x5−x4−13x3+13x2+35x−37,4)<x)∨(x<CRootOf⁡(x5−x4−13x3+13x2+35x−37,3)∧CRootOf⁡(x5−x4−13x3+13x2+35x−37,2)<x)\left(-\infty < x \wedge x < \operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 0\right)}\right) \vee \left(x < -1 \wedge \operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 1\right)} < x\right) \vee \left(x < \infty \wedge \operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 4\right)} < x\right) \vee \left(x < \operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 3\right)} \wedge \operatorname{CRootOf} {\left(x^{5} - x^{4} - 13 x^{3} + 13 x^{2} + 35 x - 37, 2\right)} < x\right) 
((-oo < x)∧(x < CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 0)))∨((x < -1)∧(CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 1) < x))∨((x < oo)∧(CRootOf(x^5 - x^4 - 13*x^3 + 13*x^2 + 35*x - 37, 4) < x))∨((x < 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, 2) < x))
Gráfico
(x-1)*(x-2)*(x-3)/(x+1)*(x+2)*(x+3)>1 desigualdades
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