Sr Examen
Otras calculadoras
- Sistemas de desigualdades paso a paso
- Ecuaciones básicas paso a paso
- Sistemas de ecuaciones paso a paso
- Solución de desigualdades trigonométricas en línea
- Resolución de desigualdades exponenciales en línea
- Resolución de desigualdades con un módulo en línea
-
¿Cómo usar?
- Desigualdades:
-
4+12x>7+13x
-
x-4x^2/x-1>0
-
(x-9)*(x-1)>0
-
x^2-2x+5<0
- Integral de d{x}:
- |sin(x)|
- Forma canónica:
- =0
-
Expresiones idénticas
- |sin(x)|<= cero
- módulo de seno de (x)| menos o igual a 0
- módulo de seno de (x)| menos o igual a cero
- |sinx|<=0
- |sin(x)|<=O
-
Expresiones semejantes
- |sinx|<1
- |sinx|+|cosx|>1
- |sinx|>|cosx|
- |sinx|<=0
-
Expresiones con funciones
- Seno sin
- sin(x)<0,5
- sin(x)<0.5
- sin(x)>=-√3/2
- sin(x)<=-√3/2
- sin(x)>2
- Módulo |
- |2-x|-|6+2x|<3
- |4x-7|+|x+6|>|3x-13|
- |2x-10|>0
- |2x-3|<=5
- |2-3x^2|<7
|sin(x)|<=0 desigualdades
Solución
Solución detallada
Se da la desigualdad:
$$\left|{\sin{\left(x \right)}}\right| \leq 0$$
Para resolver esta desigualdad primero hay que resolver la ecuación correspondiente:
$$\left|{\sin{\left(x \right)}}\right| = 0$$
Resolvemos:
Tenemos la ecuación
$$\left|{\sin{\left(x \right)}}\right| = 0$$
cambiamos
$$\left|{\sin{\left(x \right)}}\right| - 1 = 0$$
$$\left|{\sin{\left(x \right)}}\right| - 1 = 0$$
Sustituimos
$$w = \left|{\sin{\left(x \right)}}\right|$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = 1$$
Obtenemos la respuesta: w = 1
hacemos cambio inverso
$$\left|{\sin{\left(x \right)}}\right| = w$$
sustituimos w:
$$x_{1} = 72.2566310325652$$
$$x_{2} = -59.6902604182061$$
$$x_{3} = 81.6814089933346$$
$$x_{4} = -43.9822971502571$$
$$x_{5} = -100.530964914873$$
$$x_{6} = -427.256600888212$$
$$x_{7} = 28.2743338823081$$
$$x_{8} = 65.9734457253857$$
$$x_{9} = -31.4159265358979$$
$$x_{10} = -9.42477796076938$$
$$x_{11} = 40.8407044966673$$
$$x_{12} = 56.5486677646163$$
$$x_{13} = -56.5486677646163$$
$$x_{14} = 12.5663706143592$$
$$x_{15} = 43.9822971502571$$
$$x_{16} = 100.530964914873$$
$$x_{17} = 650.309679293087$$
$$x_{18} = -3.14159265358979$$
$$x_{19} = -15.707963267949$$
$$x_{20} = 59.6902604182061$$
$$x_{21} = 6.28318530717959$$
$$x_{22} = 9.42477796076938$$
$$x_{23} = -53.4070751110265$$
$$x_{24} = -47.1238898038469$$
$$x_{25} = -87.9645943005142$$
$$x_{26} = 21.9911485751286$$
$$x_{27} = 87.9645943005142$$
$$x_{28} = 18.8495559215388$$
$$x_{29} = -25.1327412287183$$
$$x_{30} = -72.2566310325652$$
$$x_{31} = 37.6991118430775$$
$$x_{32} = 0$$
$$x_{33} = 50.2654824574367$$
$$x_{34} = -6.28318530717959$$
$$x_{35} = -65.9734457253857$$
$$x_{36} = -21.9911485751286$$
$$x_{37} = 75.398223686155$$
$$x_{38} = 84.8230016469244$$
$$x_{39} = 34.5575191894877$$
$$x_{40} = 53.4070751110265$$
$$x_{41} = 15.707963267949$$
$$x_{42} = -28.2743338823081$$
$$x_{43} = -285.884931476671$$
$$x_{44} = -91.106186954104$$
$$x_{45} = 97.3893722612836$$
$$x_{46} = -69.1150383789755$$
$$x_{47} = 94.2477796076938$$
$$x_{48} = -50.2654824574367$$
$$x_{49} = -37.6991118430775$$
$$x_{50} = -81.6814089933346$$
$$x_{51} = -3760.48640634698$$
$$x_{52} = 62.8318530717959$$
$$x_{53} = 78.5398163397448$$
$$x_{54} = 31.4159265358979$$
$$x_{55} = -78.5398163397448$$
$$x_{56} = -97.3893722612836$$
$$x_{57} = -75.398223686155$$
$$x_{58} = -12.5663706143592$$
$$x_{59} = -94.2477796076938$$
$$x_{60} = -34.5575191894877$$
$$x_{1} = 72.2566310325652$$
$$x_{2} = -59.6902604182061$$
$$x_{3} = 81.6814089933346$$
$$x_{4} = -43.9822971502571$$
$$x_{5} = -100.530964914873$$
$$x_{6} = -427.256600888212$$
$$x_{7} = 28.2743338823081$$
$$x_{8} = 65.9734457253857$$
$$x_{9} = -31.4159265358979$$
$$x_{10} = -9.42477796076938$$
$$x_{11} = 40.8407044966673$$
$$x_{12} = 56.5486677646163$$
$$x_{13} = -56.5486677646163$$
$$x_{14} = 12.5663706143592$$
$$x_{15} = 43.9822971502571$$
$$x_{16} = 100.530964914873$$
$$x_{17} = 650.309679293087$$
$$x_{18} = -3.14159265358979$$
$$x_{19} = -15.707963267949$$
$$x_{20} = 59.6902604182061$$
$$x_{21} = 6.28318530717959$$
$$x_{22} = 9.42477796076938$$
$$x_{23} = -53.4070751110265$$
$$x_{24} = -47.1238898038469$$
$$x_{25} = -87.9645943005142$$
$$x_{26} = 21.9911485751286$$
$$x_{27} = 87.9645943005142$$
$$x_{28} = 18.8495559215388$$
$$x_{29} = -25.1327412287183$$
$$x_{30} = -72.2566310325652$$
$$x_{31} = 37.6991118430775$$
$$x_{32} = 0$$
$$x_{33} = 50.2654824574367$$
$$x_{34} = -6.28318530717959$$
$$x_{35} = -65.9734457253857$$
$$x_{36} = -21.9911485751286$$
$$x_{37} = 75.398223686155$$
$$x_{38} = 84.8230016469244$$
$$x_{39} = 34.5575191894877$$
$$x_{40} = 53.4070751110265$$
$$x_{41} = 15.707963267949$$
$$x_{42} = -28.2743338823081$$
$$x_{43} = -285.884931476671$$
$$x_{44} = -91.106186954104$$
$$x_{45} = 97.3893722612836$$
$$x_{46} = -69.1150383789755$$
$$x_{47} = 94.2477796076938$$
$$x_{48} = -50.2654824574367$$
$$x_{49} = -37.6991118430775$$
$$x_{50} = -81.6814089933346$$
$$x_{51} = -3760.48640634698$$
$$x_{52} = 62.8318530717959$$
$$x_{53} = 78.5398163397448$$
$$x_{54} = 31.4159265358979$$
$$x_{55} = -78.5398163397448$$
$$x_{56} = -97.3893722612836$$
$$x_{57} = -75.398223686155$$
$$x_{58} = -12.5663706143592$$
$$x_{59} = -94.2477796076938$$
$$x_{60} = -34.5575191894877$$
Las raíces dadas
$$x_{51} = -3760.48640634698$$
$$x_{6} = -427.256600888212$$
$$x_{43} = -285.884931476671$$
$$x_{5} = -100.530964914873$$
$$x_{56} = -97.3893722612836$$
$$x_{59} = -94.2477796076938$$
$$x_{44} = -91.106186954104$$
$$x_{25} = -87.9645943005142$$
$$x_{50} = -81.6814089933346$$
$$x_{55} = -78.5398163397448$$
$$x_{57} = -75.398223686155$$
$$x_{30} = -72.2566310325652$$
$$x_{46} = -69.1150383789755$$
$$x_{35} = -65.9734457253857$$
$$x_{2} = -59.6902604182061$$
$$x_{13} = -56.5486677646163$$
$$x_{23} = -53.4070751110265$$
$$x_{48} = -50.2654824574367$$
$$x_{24} = -47.1238898038469$$
$$x_{4} = -43.9822971502571$$
$$x_{49} = -37.6991118430775$$
$$x_{60} = -34.5575191894877$$
$$x_{9} = -31.4159265358979$$
$$x_{42} = -28.2743338823081$$
$$x_{29} = -25.1327412287183$$
$$x_{36} = -21.9911485751286$$
$$x_{19} = -15.707963267949$$
$$x_{58} = -12.5663706143592$$
$$x_{10} = -9.42477796076938$$
$$x_{34} = -6.28318530717959$$
$$x_{18} = -3.14159265358979$$
$$x_{32} = 0$$
$$x_{21} = 6.28318530717959$$
$$x_{22} = 9.42477796076938$$
$$x_{14} = 12.5663706143592$$
$$x_{41} = 15.707963267949$$
$$x_{28} = 18.8495559215388$$
$$x_{26} = 21.9911485751286$$
$$x_{7} = 28.2743338823081$$
$$x_{54} = 31.4159265358979$$
$$x_{39} = 34.5575191894877$$
$$x_{31} = 37.6991118430775$$
$$x_{11} = 40.8407044966673$$
$$x_{15} = 43.9822971502571$$
$$x_{33} = 50.2654824574367$$
$$x_{40} = 53.4070751110265$$
$$x_{12} = 56.5486677646163$$
$$x_{20} = 59.6902604182061$$
$$x_{52} = 62.8318530717959$$
$$x_{8} = 65.9734457253857$$
$$x_{1} = 72.2566310325652$$
$$x_{37} = 75.398223686155$$
$$x_{53} = 78.5398163397448$$
$$x_{3} = 81.6814089933346$$
$$x_{38} = 84.8230016469244$$
$$x_{27} = 87.9645943005142$$
$$x_{47} = 94.2477796076938$$
$$x_{45} = 97.3893722612836$$
$$x_{16} = 100.530964914873$$
$$x_{17} = 650.309679293087$$
son puntos de cambio del signo de desigualdad en las soluciones.
Primero definámonos con el signo hasta el punto extremo izquierdo:
$$x_{0} \leq x_{51}$$
Consideremos, por ejemplo, el punto
$$x_{0} = x_{51} - \frac{1}{10}$$
=
$$-3760.48640634698 + - \frac{1}{10}$$
=
$$-3760.58640634698$$
lo sustituimos en la expresión
$$\left|{\sin{\left(x \right)}}\right| \leq 0$$
$$\left|{\sin{\left(-3760.58640634698 \right)}}\right| \leq 0$$
pero
Entonces
$$x \leq -3760.48640634698$$
no se cumple
significa que una de las soluciones de nuestra ecuación será con:
$$x \geq -3760.48640634698 \wedge x \leq -427.256600888212$$
Recibiremos otras soluciones de la desigualdad pasando al polo siguiente etc.
etc.
Respuesta:
$$x \geq -3760.48640634698 \wedge x \leq -427.256600888212$$
$$x \geq -285.884931476671 \wedge x \leq -100.530964914873$$
$$x \geq -97.3893722612836 \wedge x \leq -94.2477796076938$$
$$x \geq -91.106186954104 \wedge x \leq -87.9645943005142$$
$$x \geq -81.6814089933346 \wedge x \leq -78.5398163397448$$
$$x \geq -75.398223686155 \wedge x \leq -72.2566310325652$$
$$x \geq -69.1150383789755 \wedge x \leq -65.9734457253857$$
$$x \geq -59.6902604182061 \wedge x \leq -56.5486677646163$$
$$x \geq -53.4070751110265 \wedge x \leq -50.2654824574367$$
$$x \geq -47.1238898038469 \wedge x \leq -43.9822971502571$$
$$x \geq -37.6991118430775 \wedge x \leq -34.5575191894877$$
$$x \geq -31.4159265358979 \wedge x \leq -28.2743338823081$$
$$x \geq -25.1327412287183 \wedge x \leq -21.9911485751286$$
$$x \geq -15.707963267949 \wedge x \leq -12.5663706143592$$
$$x \geq -9.42477796076938 \wedge x \leq -6.28318530717959$$
$$x \geq -3.14159265358979 \wedge x \leq 0$$
$$x \geq 6.28318530717959 \wedge x \leq 9.42477796076938$$
$$x \geq 12.5663706143592 \wedge x \leq 15.707963267949$$
$$x \geq 18.8495559215388 \wedge x \leq 21.9911485751286$$
$$x \geq 28.2743338823081 \wedge x \leq 31.4159265358979$$
$$x \geq 34.5575191894877 \wedge x \leq 37.6991118430775$$
$$x \geq 40.8407044966673 \wedge x \leq 43.9822971502571$$
$$x \geq 50.2654824574367 \wedge x \leq 53.4070751110265$$
$$x \geq 56.5486677646163 \wedge x \leq 59.6902604182061$$
$$x \geq 62.8318530717959 \wedge x \leq 65.9734457253857$$
$$x \geq 72.2566310325652 \wedge x \leq 75.398223686155$$
$$x \geq 78.5398163397448 \wedge x \leq 81.6814089933346$$
$$x \geq 84.8230016469244 \wedge x \leq 87.9645943005142$$
$$x \geq 94.2477796076938 \wedge x \leq 97.3893722612836$$
$$x \geq 100.530964914873 \wedge x \leq 650.309679293087$$
$$\left|{\sin{\left(x \right)}}\right| \leq 0$$
Para resolver esta desigualdad primero hay que resolver la ecuación correspondiente:
$$\left|{\sin{\left(x \right)}}\right| = 0$$
Resolvemos:
Tenemos la ecuación
$$\left|{\sin{\left(x \right)}}\right| = 0$$
cambiamos
$$\left|{\sin{\left(x \right)}}\right| - 1 = 0$$
$$\left|{\sin{\left(x \right)}}\right| - 1 = 0$$
Sustituimos
$$w = \left|{\sin{\left(x \right)}}\right|$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = 1$$
Obtenemos la respuesta: w = 1
hacemos cambio inverso
$$\left|{\sin{\left(x \right)}}\right| = w$$
sustituimos w:
$$x_{1} = 72.2566310325652$$
$$x_{2} = -59.6902604182061$$
$$x_{3} = 81.6814089933346$$
$$x_{4} = -43.9822971502571$$
$$x_{5} = -100.530964914873$$
$$x_{6} = -427.256600888212$$
$$x_{7} = 28.2743338823081$$
$$x_{8} = 65.9734457253857$$
$$x_{9} = -31.4159265358979$$
$$x_{10} = -9.42477796076938$$
$$x_{11} = 40.8407044966673$$
$$x_{12} = 56.5486677646163$$
$$x_{13} = -56.5486677646163$$
$$x_{14} = 12.5663706143592$$
$$x_{15} = 43.9822971502571$$
$$x_{16} = 100.530964914873$$
$$x_{17} = 650.309679293087$$
$$x_{18} = -3.14159265358979$$
$$x_{19} = -15.707963267949$$
$$x_{20} = 59.6902604182061$$
$$x_{21} = 6.28318530717959$$
$$x_{22} = 9.42477796076938$$
$$x_{23} = -53.4070751110265$$
$$x_{24} = -47.1238898038469$$
$$x_{25} = -87.9645943005142$$
$$x_{26} = 21.9911485751286$$
$$x_{27} = 87.9645943005142$$
$$x_{28} = 18.8495559215388$$
$$x_{29} = -25.1327412287183$$
$$x_{30} = -72.2566310325652$$
$$x_{31} = 37.6991118430775$$
$$x_{32} = 0$$
$$x_{33} = 50.2654824574367$$
$$x_{34} = -6.28318530717959$$
$$x_{35} = -65.9734457253857$$
$$x_{36} = -21.9911485751286$$
$$x_{37} = 75.398223686155$$
$$x_{38} = 84.8230016469244$$
$$x_{39} = 34.5575191894877$$
$$x_{40} = 53.4070751110265$$
$$x_{41} = 15.707963267949$$
$$x_{42} = -28.2743338823081$$
$$x_{43} = -285.884931476671$$
$$x_{44} = -91.106186954104$$
$$x_{45} = 97.3893722612836$$
$$x_{46} = -69.1150383789755$$
$$x_{47} = 94.2477796076938$$
$$x_{48} = -50.2654824574367$$
$$x_{49} = -37.6991118430775$$
$$x_{50} = -81.6814089933346$$
$$x_{51} = -3760.48640634698$$
$$x_{52} = 62.8318530717959$$
$$x_{53} = 78.5398163397448$$
$$x_{54} = 31.4159265358979$$
$$x_{55} = -78.5398163397448$$
$$x_{56} = -97.3893722612836$$
$$x_{57} = -75.398223686155$$
$$x_{58} = -12.5663706143592$$
$$x_{59} = -94.2477796076938$$
$$x_{60} = -34.5575191894877$$
$$x_{1} = 72.2566310325652$$
$$x_{2} = -59.6902604182061$$
$$x_{3} = 81.6814089933346$$
$$x_{4} = -43.9822971502571$$
$$x_{5} = -100.530964914873$$
$$x_{6} = -427.256600888212$$
$$x_{7} = 28.2743338823081$$
$$x_{8} = 65.9734457253857$$
$$x_{9} = -31.4159265358979$$
$$x_{10} = -9.42477796076938$$
$$x_{11} = 40.8407044966673$$
$$x_{12} = 56.5486677646163$$
$$x_{13} = -56.5486677646163$$
$$x_{14} = 12.5663706143592$$
$$x_{15} = 43.9822971502571$$
$$x_{16} = 100.530964914873$$
$$x_{17} = 650.309679293087$$
$$x_{18} = -3.14159265358979$$
$$x_{19} = -15.707963267949$$
$$x_{20} = 59.6902604182061$$
$$x_{21} = 6.28318530717959$$
$$x_{22} = 9.42477796076938$$
$$x_{23} = -53.4070751110265$$
$$x_{24} = -47.1238898038469$$
$$x_{25} = -87.9645943005142$$
$$x_{26} = 21.9911485751286$$
$$x_{27} = 87.9645943005142$$
$$x_{28} = 18.8495559215388$$
$$x_{29} = -25.1327412287183$$
$$x_{30} = -72.2566310325652$$
$$x_{31} = 37.6991118430775$$
$$x_{32} = 0$$
$$x_{33} = 50.2654824574367$$
$$x_{34} = -6.28318530717959$$
$$x_{35} = -65.9734457253857$$
$$x_{36} = -21.9911485751286$$
$$x_{37} = 75.398223686155$$
$$x_{38} = 84.8230016469244$$
$$x_{39} = 34.5575191894877$$
$$x_{40} = 53.4070751110265$$
$$x_{41} = 15.707963267949$$
$$x_{42} = -28.2743338823081$$
$$x_{43} = -285.884931476671$$
$$x_{44} = -91.106186954104$$
$$x_{45} = 97.3893722612836$$
$$x_{46} = -69.1150383789755$$
$$x_{47} = 94.2477796076938$$
$$x_{48} = -50.2654824574367$$
$$x_{49} = -37.6991118430775$$
$$x_{50} = -81.6814089933346$$
$$x_{51} = -3760.48640634698$$
$$x_{52} = 62.8318530717959$$
$$x_{53} = 78.5398163397448$$
$$x_{54} = 31.4159265358979$$
$$x_{55} = -78.5398163397448$$
$$x_{56} = -97.3893722612836$$
$$x_{57} = -75.398223686155$$
$$x_{58} = -12.5663706143592$$
$$x_{59} = -94.2477796076938$$
$$x_{60} = -34.5575191894877$$
Las raíces dadas
$$x_{51} = -3760.48640634698$$
$$x_{6} = -427.256600888212$$
$$x_{43} = -285.884931476671$$
$$x_{5} = -100.530964914873$$
$$x_{56} = -97.3893722612836$$
$$x_{59} = -94.2477796076938$$
$$x_{44} = -91.106186954104$$
$$x_{25} = -87.9645943005142$$
$$x_{50} = -81.6814089933346$$
$$x_{55} = -78.5398163397448$$
$$x_{57} = -75.398223686155$$
$$x_{30} = -72.2566310325652$$
$$x_{46} = -69.1150383789755$$
$$x_{35} = -65.9734457253857$$
$$x_{2} = -59.6902604182061$$
$$x_{13} = -56.5486677646163$$
$$x_{23} = -53.4070751110265$$
$$x_{48} = -50.2654824574367$$
$$x_{24} = -47.1238898038469$$
$$x_{4} = -43.9822971502571$$
$$x_{49} = -37.6991118430775$$
$$x_{60} = -34.5575191894877$$
$$x_{9} = -31.4159265358979$$
$$x_{42} = -28.2743338823081$$
$$x_{29} = -25.1327412287183$$
$$x_{36} = -21.9911485751286$$
$$x_{19} = -15.707963267949$$
$$x_{58} = -12.5663706143592$$
$$x_{10} = -9.42477796076938$$
$$x_{34} = -6.28318530717959$$
$$x_{18} = -3.14159265358979$$
$$x_{32} = 0$$
$$x_{21} = 6.28318530717959$$
$$x_{22} = 9.42477796076938$$
$$x_{14} = 12.5663706143592$$
$$x_{41} = 15.707963267949$$
$$x_{28} = 18.8495559215388$$
$$x_{26} = 21.9911485751286$$
$$x_{7} = 28.2743338823081$$
$$x_{54} = 31.4159265358979$$
$$x_{39} = 34.5575191894877$$
$$x_{31} = 37.6991118430775$$
$$x_{11} = 40.8407044966673$$
$$x_{15} = 43.9822971502571$$
$$x_{33} = 50.2654824574367$$
$$x_{40} = 53.4070751110265$$
$$x_{12} = 56.5486677646163$$
$$x_{20} = 59.6902604182061$$
$$x_{52} = 62.8318530717959$$
$$x_{8} = 65.9734457253857$$
$$x_{1} = 72.2566310325652$$
$$x_{37} = 75.398223686155$$
$$x_{53} = 78.5398163397448$$
$$x_{3} = 81.6814089933346$$
$$x_{38} = 84.8230016469244$$
$$x_{27} = 87.9645943005142$$
$$x_{47} = 94.2477796076938$$
$$x_{45} = 97.3893722612836$$
$$x_{16} = 100.530964914873$$
$$x_{17} = 650.309679293087$$
son puntos de cambio del signo de desigualdad en las soluciones.
Primero definámonos con el signo hasta el punto extremo izquierdo:
$$x_{0} \leq x_{51}$$
Consideremos, por ejemplo, el punto
$$x_{0} = x_{51} - \frac{1}{10}$$
=
$$-3760.48640634698 + - \frac{1}{10}$$
=
$$-3760.58640634698$$
lo sustituimos en la expresión
$$\left|{\sin{\left(x \right)}}\right| \leq 0$$
$$\left|{\sin{\left(-3760.58640634698 \right)}}\right| \leq 0$$
0.0998334166469064 <= 0
pero
0.0998334166469064 >= 0
Entonces
$$x \leq -3760.48640634698$$
no se cumple
significa que una de las soluciones de nuestra ecuación será con:
$$x \geq -3760.48640634698 \wedge x \leq -427.256600888212$$
_____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____
/ \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \
-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------•-------
x51 x6 x43 x5 x56 x59 x44 x25 x50 x55 x57 x30 x46 x35 x2 x13 x23 x48 x24 x4 x49 x60 x9 x42 x29 x36 x19 x58 x10 x34 x18 x32 x21 x22 x14 x41 x28 x26 x7 x54 x39 x31 x11 x15 x33 x40 x12 x20 x52 x8 x1 x37 x53 x3 x38 x27 x47 x45 x16 x17Recibiremos otras soluciones de la desigualdad pasando al polo siguiente etc.
etc.
Respuesta:
$$x \geq -3760.48640634698 \wedge x \leq -427.256600888212$$
$$x \geq -285.884931476671 \wedge x \leq -100.530964914873$$
$$x \geq -97.3893722612836 \wedge x \leq -94.2477796076938$$
$$x \geq -91.106186954104 \wedge x \leq -87.9645943005142$$
$$x \geq -81.6814089933346 \wedge x \leq -78.5398163397448$$
$$x \geq -75.398223686155 \wedge x \leq -72.2566310325652$$
$$x \geq -69.1150383789755 \wedge x \leq -65.9734457253857$$
$$x \geq -59.6902604182061 \wedge x \leq -56.5486677646163$$
$$x \geq -53.4070751110265 \wedge x \leq -50.2654824574367$$
$$x \geq -47.1238898038469 \wedge x \leq -43.9822971502571$$
$$x \geq -37.6991118430775 \wedge x \leq -34.5575191894877$$
$$x \geq -31.4159265358979 \wedge x \leq -28.2743338823081$$
$$x \geq -25.1327412287183 \wedge x \leq -21.9911485751286$$
$$x \geq -15.707963267949 \wedge x \leq -12.5663706143592$$
$$x \geq -9.42477796076938 \wedge x \leq -6.28318530717959$$
$$x \geq -3.14159265358979 \wedge x \leq 0$$
$$x \geq 6.28318530717959 \wedge x \leq 9.42477796076938$$
$$x \geq 12.5663706143592 \wedge x \leq 15.707963267949$$
$$x \geq 18.8495559215388 \wedge x \leq 21.9911485751286$$
$$x \geq 28.2743338823081 \wedge x \leq 31.4159265358979$$
$$x \geq 34.5575191894877 \wedge x \leq 37.6991118430775$$
$$x \geq 40.8407044966673 \wedge x \leq 43.9822971502571$$
$$x \geq 50.2654824574367 \wedge x \leq 53.4070751110265$$
$$x \geq 56.5486677646163 \wedge x \leq 59.6902604182061$$
$$x \geq 62.8318530717959 \wedge x \leq 65.9734457253857$$
$$x \geq 72.2566310325652 \wedge x \leq 75.398223686155$$
$$x \geq 78.5398163397448 \wedge x \leq 81.6814089933346$$
$$x \geq 84.8230016469244 \wedge x \leq 87.9645943005142$$
$$x \geq 94.2477796076938 \wedge x \leq 97.3893722612836$$
$$x \geq 100.530964914873 \wedge x \leq 650.309679293087$$
Solución de la desigualdad en el gráfico