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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+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) \geq 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(-oo, CRootOf(x^5 + x^4 - 13*x^3 - 13*x^2 + 35*x + 37, 0)), Interval.Lopen(1, CRootOf(x^5 + x^4 - 13*x^3 - 13*x^2 + 35*x + 37, 3)), Interval(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(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\x <= CRootOf\x  + x  - 13*x  - 13*x  + 35*x + 37, 2/, CRootOf\x  + x  - 13*x  - 13*x  + 35*x + 37, 1/ <= x/, And\x <= CRootOf\x  + x  - 13*x  - 13*x  + 35*x + 37, 0/, -oo < x/, And\x <= CRootOf\x  + x  - 13*x  - 13*x  + 35*x + 37, 3/, 1 < x/, And\CRootOf\x  + x  - 13*x  - 13*x  + 35*x + 37, 4/ <= x, x < oo//
(x≤CRootOf⁡(x5+x4−13x3−13x2+35x+37,2)∧CRootOf⁡(x5+x4−13x3−13x2+35x+37,1)≤x)∨(x≤CRootOf⁡(x5+x4−13x3−13x2+35x+37,0)∧−∞<x)∨(x≤CRootOf⁡(x5+x4−13x3−13x2+35x+37,3)∧1<x)∨(CRootOf⁡(x5+x4−13x3−13x2+35x+37,4)≤x∧x<∞)\left(x \leq \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)} \leq x\right) \vee \left(x \leq \operatorname{CRootOf} {\left(x^{5} + x^{4} - 13 x^{3} - 13 x^{2} + 35 x + 37, 0\right)} \wedge -\infty < x\right) \vee \left(x \leq \operatorname{CRootOf} {\left(x^{5} + x^{4} - 13 x^{3} - 13 x^{2} + 35 x + 37, 3\right)} \wedge 1 < x\right) \vee \left(\operatorname{CRootOf} {\left(x^{5} + x^{4} - 13 x^{3} - 13 x^{2} + 35 x + 37, 4\right)} \leq x \wedge x < \infty\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))
Gráfico
(x+1)*(x+2)*(x+3)/(x-1)*(x-2)*(x-3)>=1 desigualdades
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