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(x+5)(x-7)/3x-1>0

(x+5)(x-7)/3x-1>0 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
(x + 5)*(x - 7)          
---------------*x - 1 > 0
       3                 
$$x \frac{\left(x - 7\right) \left(x + 5\right)}{3} - 1 > 0$$
x*(((x - 7)*(x + 5))/3) - 1 > 0
Solución de la desigualdad en el gráfico
Respuesta rápida 2 [src]
        / 3      2              \         / 3      2              \            / 3      2              \     
(CRootOf\x  - 2*x  - 35*x - 3, 0/, CRootOf\x  - 2*x  - 35*x - 3, 1/) U (CRootOf\x  - 2*x  - 35*x - 3, 2/, oo)
$$x\ in\ \left(\operatorname{CRootOf} {\left(x^{3} - 2 x^{2} - 35 x - 3, 0\right)}, \operatorname{CRootOf} {\left(x^{3} - 2 x^{2} - 35 x - 3, 1\right)}\right) \cup \left(\operatorname{CRootOf} {\left(x^{3} - 2 x^{2} - 35 x - 3, 2\right)}, \infty\right)$$
x in Union(Interval.open(CRootOf(x^3 - 2*x^2 - 35*x - 3, 0), CRootOf(x^3 - 2*x^2 - 35*x - 3, 1)), Interval.open(CRootOf(x^3 - 2*x^2 - 35*x - 3, 2), oo))
Respuesta rápida [src]
  /   /               / 3      2              \    \     /           / 3      2              \         / 3      2              \    \\
Or\And\x < oo, CRootOf\x  - 2*x  - 35*x - 3, 2/ < x/, And\x < CRootOf\x  - 2*x  - 35*x - 3, 1/, CRootOf\x  - 2*x  - 35*x - 3, 0/ < x//
$$\left(x < \infty \wedge \operatorname{CRootOf} {\left(x^{3} - 2 x^{2} - 35 x - 3, 2\right)} < x\right) \vee \left(x < \operatorname{CRootOf} {\left(x^{3} - 2 x^{2} - 35 x - 3, 1\right)} \wedge \operatorname{CRootOf} {\left(x^{3} - 2 x^{2} - 35 x - 3, 0\right)} < x\right)$$
((x < oo)∧(CRootOf(x^3 - 2*x^2 - 35*x - 3, 2) < x))∨((x < CRootOf(x^3 - 2*x^2 - 35*x - 3, 1))∧(CRootOf(x^3 - 2*x^2 - 35*x - 3, 0) < x))
Gráfico
(x+5)(x-7)/3x-1>0 desigualdades