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(x-1)*(x-3)*(x-5)\(x+1)*(x+3)*(x+5)>1 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
(x - 1)*(x - 3)*(x - 5)                    
-----------------------*(x + 3)*(x + 5) > 1
         x + 1                             
$$\frac{\left(x - 3\right) \left(x - 1\right) \left(x - 5\right)}{x + 1} \left(x + 3\right) \left(x + 5\right) > 1$$
(((((x - 3)*(x - 1))*(x - 5))/(x + 1))*(x + 3))*(x + 5) > 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  - x  - 34*x  + 34*x  + 224*x - 226, 0//, And\x < -1, CRootOf\x  - x  - 34*x  + 34*x  + 224*x - 226, 1/ < x/, And\x < oo, CRootOf\x  - x  - 34*x  + 34*x  + 224*x - 226, 4/ < x/, And\x < CRootOf\x  - x  - 34*x  + 34*x  + 224*x - 226, 3/, CRootOf\x  - x  - 34*x  + 34*x  + 224*x - 226, 2/ < x//
$$\left(-\infty < x \wedge x < \operatorname{CRootOf} {\left(x^{5} - x^{4} - 34 x^{3} + 34 x^{2} + 224 x - 226, 0\right)}\right) \vee \left(x < -1 \wedge \operatorname{CRootOf} {\left(x^{5} - x^{4} - 34 x^{3} + 34 x^{2} + 224 x - 226, 1\right)} < x\right) \vee \left(x < \infty \wedge \operatorname{CRootOf} {\left(x^{5} - x^{4} - 34 x^{3} + 34 x^{2} + 224 x - 226, 4\right)} < x\right) \vee \left(x < \operatorname{CRootOf} {\left(x^{5} - x^{4} - 34 x^{3} + 34 x^{2} + 224 x - 226, 3\right)} \wedge \operatorname{CRootOf} {\left(x^{5} - x^{4} - 34 x^{3} + 34 x^{2} + 224 x - 226, 2\right)} < x\right)$$
((-oo < x)∧(x < CRootOf(x^5 - x^4 - 34*x^3 + 34*x^2 + 224*x - 226, 0)))∨((x < -1)∧(CRootOf(x^5 - x^4 - 34*x^3 + 34*x^2 + 224*x - 226, 1) < x))∨((x < oo)∧(CRootOf(x^5 - x^4 - 34*x^3 + 34*x^2 + 224*x - 226, 4) < x))∨((x < CRootOf(x^5 - x^4 - 34*x^3 + 34*x^2 + 224*x - 226, 3))∧(CRootOf(x^5 - x^4 - 34*x^3 + 34*x^2 + 224*x - 226, 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  - x  - 34*x  + 34*x  + 224*x - 226, 0/) U (CRootOf\x  - x  - 34*x  + 34*x  + 224*x - 226, 1/, -1) U (CRootOf\x  - x  - 34*x  + 34*x  + 224*x - 226, 2/, CRootOf\x  - x  - 34*x  + 34*x  + 224*x - 226, 3/) U (CRootOf\x  - x  - 34*x  + 34*x  + 224*x - 226, 4/, oo)
$$x\ in\ \left(-\infty, \operatorname{CRootOf} {\left(x^{5} - x^{4} - 34 x^{3} + 34 x^{2} + 224 x - 226, 0\right)}\right) \cup \left(\operatorname{CRootOf} {\left(x^{5} - x^{4} - 34 x^{3} + 34 x^{2} + 224 x - 226, 1\right)}, -1\right) \cup \left(\operatorname{CRootOf} {\left(x^{5} - x^{4} - 34 x^{3} + 34 x^{2} + 224 x - 226, 2\right)}, \operatorname{CRootOf} {\left(x^{5} - x^{4} - 34 x^{3} + 34 x^{2} + 224 x - 226, 3\right)}\right) \cup \left(\operatorname{CRootOf} {\left(x^{5} - x^{4} - 34 x^{3} + 34 x^{2} + 224 x - 226, 4\right)}, \infty\right)$$
x in Union(Interval.open(-oo, CRootOf(x^5 - x^4 - 34*x^3 + 34*x^2 + 224*x - 226, 0)), Interval.open(CRootOf(x^5 - x^4 - 34*x^3 + 34*x^2 + 224*x - 226, 1), -1), Interval.open(CRootOf(x^5 - x^4 - 34*x^3 + 34*x^2 + 224*x - 226, 2), CRootOf(x^5 - x^4 - 34*x^3 + 34*x^2 + 224*x - 226, 3)), Interval.open(CRootOf(x^5 - x^4 - 34*x^3 + 34*x^2 + 224*x - 226, 4), oo))