Sr Examen

Otras calculadoras


|x^2-3x+1|-1<(x^2-3x)^2+2|x^2-3x|

|x^2-3x+1|-1<(x^2-3x)^2+2|x^2-3x| desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
                               2               
| 2          |       / 2      \      | 2      |
|x  - 3*x + 1| - 1 < \x  - 3*x/  + 2*|x  - 3*x|
$$\left|{\left(x^{2} - 3 x\right) + 1}\right| - 1 < \left(x^{2} - 3 x\right)^{2} + 2 \left|{x^{2} - 3 x}\right|$$
|x^2 - 3*x + 1| - 1 < (x^2 - 3*x)^2 + 2*|x^2 - 3*x|
Respuesta rápida 2 [src]
(-oo, 0) U (0, 3) U (3, oo)
$$x\ in\ \left(-\infty, 0\right) \cup \left(0, 3\right) \cup \left(3, \infty\right)$$
x in Union(Interval.open(-oo, 0), Interval.open(0, 3), Interval.open(3, oo))
Respuesta rápida [src]
Or(And(-oo < x, x < 0), And(0 < x, x < 3), And(3 < x, x < oo))
$$\left(-\infty < x \wedge x < 0\right) \vee \left(0 < x \wedge x < 3\right) \vee \left(3 < x \wedge x < \infty\right)$$
((-oo < x)∧(x < 0))∨((0 < x)∧(x < 3))∨((3 < x)∧(x < oo))
Gráfico
|x^2-3x+1|-1<(x^2-3x)^2+2|x^2-3x| desigualdades