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(x^2-2x-2)/(x^2-2x)+(7x-19)/(x-3)<=(8x+1)/x

(x^2-2x-2)/(x^2-2x)+(7x-19)/(x-3)<=(8x+1)/x desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
 2                                
x  - 2*x - 2   7*x - 19    8*x + 1
------------ + -------- <= -------
   2            x - 3         x   
  x  - 2*x                        
$$\frac{\left(x^{2} - 2 x\right) - 2}{x^{2} - 2 x} + \frac{7 x - 19}{x - 3} \leq \frac{8 x + 1}{x}$$
(x^2 - 2*x - 2)/(x^2 - 2*x) + (7*x - 19)/(x - 3) <= (8*x + 1)/x
Solución de la desigualdad en el gráfico
Respuesta rápida [src]
Or(And(x <= 1, 0 < x), And(-oo < x, x < 0), And(2 < x, x < 3))
$$\left(x \leq 1 \wedge 0 < x\right) \vee \left(-\infty < x \wedge x < 0\right) \vee \left(2 < x \wedge x < 3\right)$$
((x <= 1)∧(0 < x))∨((-oo < x)∧(x < 0))∨((2 < x)∧(x < 3))
Respuesta rápida 2 [src]
(-oo, 0) U (0, 1] U (2, 3)
$$x\ in\ \left(-\infty, 0\right) \cup \left(0, 1\right] \cup \left(2, 3\right)$$
x in Union(Interval.open(-oo, 0), Interval.Lopen(0, 1), Interval.open(2, 3))
Gráfico
(x^2-2x-2)/(x^2-2x)+(7x-19)/(x-3)<=(8x+1)/x desigualdades