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(x+6)(x-8)/2x-7<0

(x+6)(x-8)/2x-7<0 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
(x + 6)*(x - 8)          
---------------*x - 7 < 0
       2                 
$$x \frac{\left(x - 8\right) \left(x + 6\right)}{2} - 7 < 0$$
x*(((x - 8)*(x + 6))/2) - 7 < 0
Solución de la desigualdad en el gráfico
Respuesta rápida [src]
  /   /                    / 3      2               \\     /           / 3      2               \         / 3      2               \    \\
Or\And\-oo < x, x < CRootOf\x  - 2*x  - 48*x - 14, 0//, And\x < CRootOf\x  - 2*x  - 48*x - 14, 2/, CRootOf\x  - 2*x  - 48*x - 14, 1/ < x//
$$\left(-\infty < x \wedge x < \operatorname{CRootOf} {\left(x^{3} - 2 x^{2} - 48 x - 14, 0\right)}\right) \vee \left(x < \operatorname{CRootOf} {\left(x^{3} - 2 x^{2} - 48 x - 14, 2\right)} \wedge \operatorname{CRootOf} {\left(x^{3} - 2 x^{2} - 48 x - 14, 1\right)} < x\right)$$
((-oo < x)∧(x < CRootOf(x^3 - 2*x^2 - 48*x - 14, 0)))∨((x < CRootOf(x^3 - 2*x^2 - 48*x - 14, 2))∧(CRootOf(x^3 - 2*x^2 - 48*x - 14, 1) < x))
Respuesta rápida 2 [src]
             / 3      2               \            / 3      2               \         / 3      2               \ 
(-oo, CRootOf\x  - 2*x  - 48*x - 14, 0/) U (CRootOf\x  - 2*x  - 48*x - 14, 1/, CRootOf\x  - 2*x  - 48*x - 14, 2/)
$$x\ in\ \left(-\infty, \operatorname{CRootOf} {\left(x^{3} - 2 x^{2} - 48 x - 14, 0\right)}\right) \cup \left(\operatorname{CRootOf} {\left(x^{3} - 2 x^{2} - 48 x - 14, 1\right)}, \operatorname{CRootOf} {\left(x^{3} - 2 x^{2} - 48 x - 14, 2\right)}\right)$$
x in Union(Interval.open(-oo, CRootOf(x^3 - 2*x^2 - 48*x - 14, 0)), Interval.open(CRootOf(x^3 - 2*x^2 - 48*x - 14, 1), CRootOf(x^3 - 2*x^2 - 48*x - 14, 2)))
Gráfico
(x+6)(x-8)/2x-7<0 desigualdades