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(x-5)(x+2)/6x+1>0

(x-5)(x+2)/6x+1>0 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
(x - 5)*(x + 2)          
---------------*x + 1 > 0
       6                 
$$x \frac{\left(x - 5\right) \left(x + 2\right)}{6} + 1 > 0$$
x*(((x - 5)*(x + 2))/6) + 1 > 0
Solución de la desigualdad en el gráfico
Respuesta rápida [src]
  /   /               / 3      2              \    \     /           / 3      2              \         / 3      2              \    \\
Or\And\x < oo, CRootOf\x  - 3*x  - 10*x + 6, 2/ < x/, And\x < CRootOf\x  - 3*x  - 10*x + 6, 1/, CRootOf\x  - 3*x  - 10*x + 6, 0/ < x//
$$\left(x < \infty \wedge \operatorname{CRootOf} {\left(x^{3} - 3 x^{2} - 10 x + 6, 2\right)} < x\right) \vee \left(x < \operatorname{CRootOf} {\left(x^{3} - 3 x^{2} - 10 x + 6, 1\right)} \wedge \operatorname{CRootOf} {\left(x^{3} - 3 x^{2} - 10 x + 6, 0\right)} < x\right)$$
((x < oo)∧(CRootOf(x^3 - 3*x^2 - 10*x + 6, 2) < x))∨((x < CRootOf(x^3 - 3*x^2 - 10*x + 6, 1))∧(CRootOf(x^3 - 3*x^2 - 10*x + 6, 0) < x))
Respuesta rápida 2 [src]
        / 3      2              \         / 3      2              \            / 3      2              \     
(CRootOf\x  - 3*x  - 10*x + 6, 0/, CRootOf\x  - 3*x  - 10*x + 6, 1/) U (CRootOf\x  - 3*x  - 10*x + 6, 2/, oo)
$$x\ in\ \left(\operatorname{CRootOf} {\left(x^{3} - 3 x^{2} - 10 x + 6, 0\right)}, \operatorname{CRootOf} {\left(x^{3} - 3 x^{2} - 10 x + 6, 1\right)}\right) \cup \left(\operatorname{CRootOf} {\left(x^{3} - 3 x^{2} - 10 x + 6, 2\right)}, \infty\right)$$
x in Union(Interval.open(CRootOf(x^3 - 3*x^2 - 10*x + 6, 0), CRootOf(x^3 - 3*x^2 - 10*x + 6, 1)), Interval.open(CRootOf(x^3 - 3*x^2 - 10*x + 6, 2), oo))
Gráfico
(x-5)(x+2)/6x+1>0 desigualdades