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(x+3)*(x-5)<x*(x-4)(x+9)+7

(x+3)*(x-5)
En la desigualdad la incógnita

Solución

(x + 3)*(x - 5) < x*(x - 4)*(x + 9) + 7
$$\left(x - 5\right) \left(x + 3\right) < x \left(x - 4\right) \left(x + 9\right) + 7$$
(x - 5)*(x + 3) < (x*(x - 4))*(x + 9) + 7
Solución de la desigualdad en el gráfico
Respuesta rápida [src]
  /   /               / 3      2               \    \     /           / 3      2               \         / 3      2               \    \\
Or\And\x < oo, CRootOf\x  + 4*x  - 34*x + 22, 2/ < x/, And\x < CRootOf\x  + 4*x  - 34*x + 22, 1/, CRootOf\x  + 4*x  - 34*x + 22, 0/ < x//
$$\left(x < \infty \wedge \operatorname{CRootOf} {\left(x^{3} + 4 x^{2} - 34 x + 22, 2\right)} < x\right) \vee \left(x < \operatorname{CRootOf} {\left(x^{3} + 4 x^{2} - 34 x + 22, 1\right)} \wedge \operatorname{CRootOf} {\left(x^{3} + 4 x^{2} - 34 x + 22, 0\right)} < x\right)$$
((x < oo)∧(CRootOf(x^3 + 4*x^2 - 34*x + 22, 2) < x))∨((x < CRootOf(x^3 + 4*x^2 - 34*x + 22, 1))∧(CRootOf(x^3 + 4*x^2 - 34*x + 22, 0) < x))
Respuesta rápida 2 [src]
        / 3      2               \         / 3      2               \            / 3      2               \     
(CRootOf\x  + 4*x  - 34*x + 22, 0/, CRootOf\x  + 4*x  - 34*x + 22, 1/) U (CRootOf\x  + 4*x  - 34*x + 22, 2/, oo)
$$x\ in\ \left(\operatorname{CRootOf} {\left(x^{3} + 4 x^{2} - 34 x + 22, 0\right)}, \operatorname{CRootOf} {\left(x^{3} + 4 x^{2} - 34 x + 22, 1\right)}\right) \cup \left(\operatorname{CRootOf} {\left(x^{3} + 4 x^{2} - 34 x + 22, 2\right)}, \infty\right)$$
x in Union(Interval.open(CRootOf(x^3 + 4*x^2 - 34*x + 22, 0), CRootOf(x^3 + 4*x^2 - 34*x + 22, 1)), Interval.open(CRootOf(x^3 + 4*x^2 - 34*x + 22, 2), oo))
Gráfico
(x+3)*(x-5)<x*(x-4)(x+9)+7 desigualdades