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

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

En la desigualdad la incógnita

Solución

Ha introducido [src]
            3        
|x + 2| - ------ <= 0
           2         
          x  - 9     
$$\left|{x + 2}\right| - \frac{3}{x^{2} - 9} \leq 0$$
|x + 2| - 3/(x^2 - 9) <= 0
Solución de la desigualdad en el gráfico
Respuesta rápida 2 [src]
        / 3      2              \                   / 3      2              \ 
[CRootOf\x  + 2*x  - 9*x - 15, 0/, -3) U (3, CRootOf\x  + 2*x  - 9*x - 21, 0/]
$$x\ in\ \left[\operatorname{CRootOf} {\left(x^{3} + 2 x^{2} - 9 x - 15, 0\right)}, -3\right) \cup \left(3, \operatorname{CRootOf} {\left(x^{3} + 2 x^{2} - 9 x - 21, 0\right)}\right]$$
x in Union(Interval.Lopen(3, CRootOf(x^3 + 2*x^2 - 9*x - 21, 0)), Interval.Ropen(CRootOf(x^3 + 2*x^2 - 9*x - 15, 0), -3))
Respuesta rápida [src]
  /   /            / 3      2              \       \     /       / 3      2              \             \\
Or\And\x <= CRootOf\x  + 2*x  - 9*x - 21, 0/, 3 < x/, And\CRootOf\x  + 2*x  - 9*x - 15, 0/ <= x, x < -3//
$$\left(x \leq \operatorname{CRootOf} {\left(x^{3} + 2 x^{2} - 9 x - 21, 0\right)} \wedge 3 < x\right) \vee \left(\operatorname{CRootOf} {\left(x^{3} + 2 x^{2} - 9 x - 15, 0\right)} \leq x \wedge x < -3\right)$$
((3 < x)∧(x <= CRootOf(x^3 + 2*x^2 - 9*x - 21, 0)))∨((x < -3)∧(CRootOf(x^3 + 2*x^2 - 9*x - 15, 0) <= x))
Gráfico
|x+2|-3/(x^2-9)<=0 desigualdades