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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+1)(x+2)(x+3)x−1(x−2)(x−3)>1\frac{\left(x + 1\right) \left(x + 2\right) \left(x + 3\right)}{x - 1} \left(x - 2\right) \left(x - 3\right) > 1 
(((((x + 1)*(x + 2))*(x + 3))/(x - 1))*(x - 2))*(x - 3) > 1
Solución de la desigualdad en el gráfico
-5.0-4.0-3.0-2.0-1.05.00.01.02.03.04.0-500000500000
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/, CRootOf\x  + x  - 13*x  - 13*x  + 35*x + 37, 2/) U (1, 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),CRootOf⁡(x5+x4−13x3−13x2+35x+37,2))∪(1,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)}, \operatorname{CRootOf} {\left(x^{5} + x^{4} - 13 x^{3} - 13 x^{2} + 35 x + 37, 2\right)}\right) \cup \left(1, \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(1, 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, 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, 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\1 < x, x < CRootOf\x  + x  - 13*x  - 13*x  + 35*x + 37, 3//, 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, 2/, CRootOf\x  + x  - 13*x  - 13*x  + 35*x + 37, 1/ < x//
(−∞<x∧x<CRootOf⁡(x5+x4−13x3−13x2+35x+37,0))∨(1<x∧x<CRootOf⁡(x5+x4−13x3−13x2+35x+37,3))∨(x<∞∧CRootOf⁡(x5+x4−13x3−13x2+35x+37,4)<x)∨(x<CRootOf⁡(x5+x4−13x3−13x2+35x+37,2)∧CRootOf⁡(x5+x4−13x3−13x2+35x+37,1)<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(1 < x \wedge x < \operatorname{CRootOf} {\left(x^{5} + x^{4} - 13 x^{3} - 13 x^{2} + 35 x + 37, 3\right)}\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, 2\right)} \wedge \operatorname{CRootOf} {\left(x^{5} + x^{4} - 13 x^{3} - 13 x^{2} + 35 x + 37, 1\right)} < x\right) 
((-oo < x)∧(x < CRootOf(x^5 + x^4 - 13*x^3 - 13*x^2 + 35*x + 37, 0)))∨((1 < x)∧(x < CRootOf(x^5 + x^4 - 13*x^3 - 13*x^2 + 35*x + 37, 3)))∨((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, 2))∧(CRootOf(x^5 + x^4 - 13*x^3 - 13*x^2 + 35*x + 37, 1) < x))
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