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(x-5)(x+2)(x-1):x-2<=0 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
(x - 5)*(x + 2)*(x - 1)         
----------------------- - 2 <= 0
           x                    
$$-2 + \frac{\left(x - 5\right) \left(x + 2\right) \left(x - 1\right)}{x} \leq 0$$
-2 + (((x - 5)*(x + 2))*(x - 1))/x <= 0
Solución de la desigualdad en el gráfico
Respuesta rápida [src]
  /   /            / 3      2              \         / 3      2              \     \     /       / 3      2              \            \\
Or\And\x <= CRootOf\x  - 4*x  - 9*x + 10, 2/, CRootOf\x  - 4*x  - 9*x + 10, 1/ <= x/, And\CRootOf\x  - 4*x  - 9*x + 10, 0/ <= x, x < 0//
$$\left(x \leq \operatorname{CRootOf} {\left(x^{3} - 4 x^{2} - 9 x + 10, 2\right)} \wedge \operatorname{CRootOf} {\left(x^{3} - 4 x^{2} - 9 x + 10, 1\right)} \leq x\right) \vee \left(\operatorname{CRootOf} {\left(x^{3} - 4 x^{2} - 9 x + 10, 0\right)} \leq x \wedge x < 0\right)$$
((x < 0)∧(CRootOf(x^3 - 4*x^2 - 9*x + 10, 0) <= x))∨((x <= CRootOf(x^3 - 4*x^2 - 9*x + 10, 2))∧(CRootOf(x^3 - 4*x^2 - 9*x + 10, 1) <= x))
Respuesta rápida 2 [src]
        / 3      2              \               / 3      2              \         / 3      2              \ 
[CRootOf\x  - 4*x  - 9*x + 10, 0/, 0) U [CRootOf\x  - 4*x  - 9*x + 10, 1/, CRootOf\x  - 4*x  - 9*x + 10, 2/]
$$x\ in\ \left[\operatorname{CRootOf} {\left(x^{3} - 4 x^{2} - 9 x + 10, 0\right)}, 0\right) \cup \left[\operatorname{CRootOf} {\left(x^{3} - 4 x^{2} - 9 x + 10, 1\right)}, \operatorname{CRootOf} {\left(x^{3} - 4 x^{2} - 9 x + 10, 2\right)}\right]$$
x in Union(Interval.Ropen(CRootOf(x^3 - 4*x^2 - 9*x + 10, 0), 0), Interval(CRootOf(x^3 - 4*x^2 - 9*x + 10, 1), CRootOf(x^3 - 4*x^2 - 9*x + 10, 2)))