Sr Examen

Otras calculadoras

|x+2|-3/x^2-9<=0 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
          3          
|x + 2| - -- - 9 <= 0
           2         
          x          
$$\left(\left|{x + 2}\right| - \frac{3}{x^{2}}\right) - 9 \leq 0$$
|x + 2| - 3/x^2 - 9 <= 0
Solución de la desigualdad en el gráfico
Respuesta rápida [src]
  /   /            / 3      2       \       \     /       / 3       2       \            \\
Or\And\x <= CRootOf\x  - 7*x  - 3, 0/, 0 < x/, And\CRootOf\x  + 11*x  + 3, 0/ <= x, x < 0//
$$\left(x \leq \operatorname{CRootOf} {\left(x^{3} - 7 x^{2} - 3, 0\right)} \wedge 0 < x\right) \vee \left(\operatorname{CRootOf} {\left(x^{3} + 11 x^{2} + 3, 0\right)} \leq x \wedge x < 0\right)$$
((0 < x)∧(x <= CRootOf(x^3 - 7*x^2 - 3, 0)))∨((x < 0)∧(CRootOf(x^3 + 11*x^2 + 3, 0) <= x))
Respuesta rápida 2 [src]
        / 3       2       \                  / 3      2       \ 
[CRootOf\x  + 11*x  + 3, 0/, 0) U (0, CRootOf\x  - 7*x  - 3, 0/]
$$x\ in\ \left[\operatorname{CRootOf} {\left(x^{3} + 11 x^{2} + 3, 0\right)}, 0\right) \cup \left(0, \operatorname{CRootOf} {\left(x^{3} - 7 x^{2} - 3, 0\right)}\right]$$
x in Union(Interval.Lopen(0, CRootOf(x^3 - 7*x^2 - 3, 0)), Interval.Ropen(CRootOf(x^3 + 11*x^2 + 3, 0), 0))