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(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                  
$$x \frac{\left(x - 7\right) \left(x + 5\right)}{3} - 1 \geq 0$$
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(CRootOf(x^3 - 2*x^2 - 35*x - 3, 0), CRootOf(x^3 - 2*x^2 - 35*x - 3, 1)), Interval(CRootOf(x^3 - 2*x^2 - 35*x - 3, 2), oo))
Respuesta rápida [src]
  /   /            / 3      2              \         / 3      2              \     \     /       / 3      2              \             \\
Or\And\x <= CRootOf\x  - 2*x  - 35*x - 3, 1/, CRootOf\x  - 2*x  - 35*x - 3, 0/ <= x/, And\CRootOf\x  - 2*x  - 35*x - 3, 2/ <= x, x < oo//
$$\left(x \leq \operatorname{CRootOf} {\left(x^{3} - 2 x^{2} - 35 x - 3, 1\right)} \wedge \operatorname{CRootOf} {\left(x^{3} - 2 x^{2} - 35 x - 3, 0\right)} \leq x\right) \vee \left(\operatorname{CRootOf} {\left(x^{3} - 2 x^{2} - 35 x - 3, 2\right)} \leq x \wedge x < \infty\right)$$
((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))