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(x-2)*(x-5)*(x-8)/(x+2)*(x+5)*(x+8)>-1 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
(x - 2)*(x - 5)*(x - 8)                     
-----------------------*(x + 5)*(x + 8) > -1
         x + 2                              
$$\frac{\left(x - 5\right) \left(x - 2\right) \left(x - 8\right)}{x + 2} \left(x + 5\right) \left(x + 8\right) > -1$$
(((((x - 5)*(x - 2))*(x - 8))/(x + 2))*(x + 5))*(x + 8) > -1
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  - 2*x  - 89*x  + 178*x  + 1601*x - 3198, 0//, And\x < -2, CRootOf\x  - 2*x  - 89*x  + 178*x  + 1601*x - 3198, 1/ < x/, And\x < oo, CRootOf\x  - 2*x  - 89*x  + 178*x  + 1601*x - 3198, 4/ < x/, And\x < CRootOf\x  - 2*x  - 89*x  + 178*x  + 1601*x - 3198, 3/, CRootOf\x  - 2*x  - 89*x  + 178*x  + 1601*x - 3198, 2/ < x//
$$\left(-\infty < x \wedge x < \operatorname{CRootOf} {\left(x^{5} - 2 x^{4} - 89 x^{3} + 178 x^{2} + 1601 x - 3198, 0\right)}\right) \vee \left(x < -2 \wedge \operatorname{CRootOf} {\left(x^{5} - 2 x^{4} - 89 x^{3} + 178 x^{2} + 1601 x - 3198, 1\right)} < x\right) \vee \left(x < \infty \wedge \operatorname{CRootOf} {\left(x^{5} - 2 x^{4} - 89 x^{3} + 178 x^{2} + 1601 x - 3198, 4\right)} < x\right) \vee \left(x < \operatorname{CRootOf} {\left(x^{5} - 2 x^{4} - 89 x^{3} + 178 x^{2} + 1601 x - 3198, 3\right)} \wedge \operatorname{CRootOf} {\left(x^{5} - 2 x^{4} - 89 x^{3} + 178 x^{2} + 1601 x - 3198, 2\right)} < x\right)$$
((-oo < x)∧(x < CRootOf(x^5 - 2*x^4 - 89*x^3 + 178*x^2 + 1601*x - 3198, 0)))∨((x < -2)∧(CRootOf(x^5 - 2*x^4 - 89*x^3 + 178*x^2 + 1601*x - 3198, 1) < x))∨((x < oo)∧(CRootOf(x^5 - 2*x^4 - 89*x^3 + 178*x^2 + 1601*x - 3198, 4) < x))∨((x < CRootOf(x^5 - 2*x^4 - 89*x^3 + 178*x^2 + 1601*x - 3198, 3))∧(CRootOf(x^5 - 2*x^4 - 89*x^3 + 178*x^2 + 1601*x - 3198, 2) < 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                   \     
(-oo, CRootOf\x  - 2*x  - 89*x  + 178*x  + 1601*x - 3198, 0/) U (CRootOf\x  - 2*x  - 89*x  + 178*x  + 1601*x - 3198, 1/, -2) U (CRootOf\x  - 2*x  - 89*x  + 178*x  + 1601*x - 3198, 2/, CRootOf\x  - 2*x  - 89*x  + 178*x  + 1601*x - 3198, 3/) U (CRootOf\x  - 2*x  - 89*x  + 178*x  + 1601*x - 3198, 4/, oo)
$$x\ in\ \left(-\infty, \operatorname{CRootOf} {\left(x^{5} - 2 x^{4} - 89 x^{3} + 178 x^{2} + 1601 x - 3198, 0\right)}\right) \cup \left(\operatorname{CRootOf} {\left(x^{5} - 2 x^{4} - 89 x^{3} + 178 x^{2} + 1601 x - 3198, 1\right)}, -2\right) \cup \left(\operatorname{CRootOf} {\left(x^{5} - 2 x^{4} - 89 x^{3} + 178 x^{2} + 1601 x - 3198, 2\right)}, \operatorname{CRootOf} {\left(x^{5} - 2 x^{4} - 89 x^{3} + 178 x^{2} + 1601 x - 3198, 3\right)}\right) \cup \left(\operatorname{CRootOf} {\left(x^{5} - 2 x^{4} - 89 x^{3} + 178 x^{2} + 1601 x - 3198, 4\right)}, \infty\right)$$
x in Union(Interval.open(-oo, CRootOf(x^5 - 2*x^4 - 89*x^3 + 178*x^2 + 1601*x - 3198, 0)), Interval.open(CRootOf(x^5 - 2*x^4 - 89*x^3 + 178*x^2 + 1601*x - 3198, 1), -2), Interval.open(CRootOf(x^5 - 2*x^4 - 89*x^3 + 178*x^2 + 1601*x - 3198, 2), CRootOf(x^5 - 2*x^4 - 89*x^3 + 178*x^2 + 1601*x - 3198, 3)), Interval.open(CRootOf(x^5 - 2*x^4 - 89*x^3 + 178*x^2 + 1601*x - 3198, 4), oo))