Mister Exam
|sin(x)|<=0 inequation
The solution
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|sin(x)| <= 0
$$\left|{\sin{\left(x \right)}}\right| \leq 0$$
Abs(sin(x)) <= 0
Detail solution
Given the inequality:
$$\left|{\sin{\left(x \right)}}\right| \leq 0$$
To solve this inequality, we must first solve the corresponding equation:
$$\left|{\sin{\left(x \right)}}\right| = 0$$
Solve:
Given the equation
$$\left|{\sin{\left(x \right)}}\right| = 0$$
transform
$$\left|{\sin{\left(x \right)}}\right| - 1 = 0$$
$$\left|{\sin{\left(x \right)}}\right| - 1 = 0$$
Do replacement
$$w = \left|{\sin{\left(x \right)}}\right|$$
Move free summands (without w)
from left part to right part, we given:
$$w = 1$$
We get the answer: w = 1
do backward replacement
$$\left|{\sin{\left(x \right)}}\right| = w$$
substitute w:
$$x_{1} = 12.5663706143592$$
$$x_{2} = 53.4070751110265$$
$$x_{3} = -97.3893722612836$$
$$x_{4} = 37.6991118430775$$
$$x_{5} = 97.3893722612836$$
$$x_{6} = 78.5398163397448$$
$$x_{7} = -59.6902604182061$$
$$x_{8} = -65.9734457253857$$
$$x_{9} = 0$$
$$x_{10} = -31.4159265358979$$
$$x_{11} = -50.2654824574367$$
$$x_{12} = -21.9911485751286$$
$$x_{13} = 6.28318530717959$$
$$x_{14} = -34.5575191894877$$
$$x_{15} = -94.2477796076938$$
$$x_{16} = -69.1150383789755$$
$$x_{17} = -15.707963267949$$
$$x_{18} = 21.9911485751286$$
$$x_{19} = 62.8318530717959$$
$$x_{20} = 50.2654824574367$$
$$x_{21} = 81.6814089933346$$
$$x_{22} = 100.530964914873$$
$$x_{23} = -87.9645943005142$$
$$x_{24} = 9.42477796076938$$
$$x_{25} = 34.5575191894877$$
$$x_{26} = -3760.48640634698$$
$$x_{27} = 65.9734457253857$$
$$x_{28} = -28.2743338823081$$
$$x_{29} = 650.309679293087$$
$$x_{30} = -427.256600888212$$
$$x_{31} = -56.5486677646163$$
$$x_{32} = -53.4070751110265$$
$$x_{33} = -37.6991118430775$$
$$x_{34} = -25.1327412287183$$
$$x_{35} = -100.530964914873$$
$$x_{36} = -9.42477796076938$$
$$x_{37} = 40.8407044966673$$
$$x_{38} = -91.106186954104$$
$$x_{39} = -75.398223686155$$
$$x_{40} = 18.8495559215388$$
$$x_{41} = 59.6902604182061$$
$$x_{42} = -6.28318530717959$$
$$x_{43} = 28.2743338823081$$
$$x_{44} = 56.5486677646163$$
$$x_{45} = -43.9822971502571$$
$$x_{46} = -47.1238898038469$$
$$x_{47} = -3.14159265358979$$
$$x_{48} = 31.4159265358979$$
$$x_{49} = 94.2477796076938$$
$$x_{50} = -12.5663706143592$$
$$x_{51} = 75.398223686155$$
$$x_{52} = -285.884931476671$$
$$x_{53} = -72.2566310325652$$
$$x_{54} = 84.8230016469244$$
$$x_{55} = 72.2566310325652$$
$$x_{56} = -81.6814089933346$$
$$x_{57} = 43.9822971502571$$
$$x_{58} = -78.5398163397448$$
$$x_{59} = 15.707963267949$$
$$x_{60} = 87.9645943005142$$
$$x_{1} = 12.5663706143592$$
$$x_{2} = 53.4070751110265$$
$$x_{3} = -97.3893722612836$$
$$x_{4} = 37.6991118430775$$
$$x_{5} = 97.3893722612836$$
$$x_{6} = 78.5398163397448$$
$$x_{7} = -59.6902604182061$$
$$x_{8} = -65.9734457253857$$
$$x_{9} = 0$$
$$x_{10} = -31.4159265358979$$
$$x_{11} = -50.2654824574367$$
$$x_{12} = -21.9911485751286$$
$$x_{13} = 6.28318530717959$$
$$x_{14} = -34.5575191894877$$
$$x_{15} = -94.2477796076938$$
$$x_{16} = -69.1150383789755$$
$$x_{17} = -15.707963267949$$
$$x_{18} = 21.9911485751286$$
$$x_{19} = 62.8318530717959$$
$$x_{20} = 50.2654824574367$$
$$x_{21} = 81.6814089933346$$
$$x_{22} = 100.530964914873$$
$$x_{23} = -87.9645943005142$$
$$x_{24} = 9.42477796076938$$
$$x_{25} = 34.5575191894877$$
$$x_{26} = -3760.48640634698$$
$$x_{27} = 65.9734457253857$$
$$x_{28} = -28.2743338823081$$
$$x_{29} = 650.309679293087$$
$$x_{30} = -427.256600888212$$
$$x_{31} = -56.5486677646163$$
$$x_{32} = -53.4070751110265$$
$$x_{33} = -37.6991118430775$$
$$x_{34} = -25.1327412287183$$
$$x_{35} = -100.530964914873$$
$$x_{36} = -9.42477796076938$$
$$x_{37} = 40.8407044966673$$
$$x_{38} = -91.106186954104$$
$$x_{39} = -75.398223686155$$
$$x_{40} = 18.8495559215388$$
$$x_{41} = 59.6902604182061$$
$$x_{42} = -6.28318530717959$$
$$x_{43} = 28.2743338823081$$
$$x_{44} = 56.5486677646163$$
$$x_{45} = -43.9822971502571$$
$$x_{46} = -47.1238898038469$$
$$x_{47} = -3.14159265358979$$
$$x_{48} = 31.4159265358979$$
$$x_{49} = 94.2477796076938$$
$$x_{50} = -12.5663706143592$$
$$x_{51} = 75.398223686155$$
$$x_{52} = -285.884931476671$$
$$x_{53} = -72.2566310325652$$
$$x_{54} = 84.8230016469244$$
$$x_{55} = 72.2566310325652$$
$$x_{56} = -81.6814089933346$$
$$x_{57} = 43.9822971502571$$
$$x_{58} = -78.5398163397448$$
$$x_{59} = 15.707963267949$$
$$x_{60} = 87.9645943005142$$
This roots
$$x_{26} = -3760.48640634698$$
$$x_{30} = -427.256600888212$$
$$x_{52} = -285.884931476671$$
$$x_{35} = -100.530964914873$$
$$x_{3} = -97.3893722612836$$
$$x_{15} = -94.2477796076938$$
$$x_{38} = -91.106186954104$$
$$x_{23} = -87.9645943005142$$
$$x_{56} = -81.6814089933346$$
$$x_{58} = -78.5398163397448$$
$$x_{39} = -75.398223686155$$
$$x_{53} = -72.2566310325652$$
$$x_{16} = -69.1150383789755$$
$$x_{8} = -65.9734457253857$$
$$x_{7} = -59.6902604182061$$
$$x_{31} = -56.5486677646163$$
$$x_{32} = -53.4070751110265$$
$$x_{11} = -50.2654824574367$$
$$x_{46} = -47.1238898038469$$
$$x_{45} = -43.9822971502571$$
$$x_{33} = -37.6991118430775$$
$$x_{14} = -34.5575191894877$$
$$x_{10} = -31.4159265358979$$
$$x_{28} = -28.2743338823081$$
$$x_{34} = -25.1327412287183$$
$$x_{12} = -21.9911485751286$$
$$x_{17} = -15.707963267949$$
$$x_{50} = -12.5663706143592$$
$$x_{36} = -9.42477796076938$$
$$x_{42} = -6.28318530717959$$
$$x_{47} = -3.14159265358979$$
$$x_{9} = 0$$
$$x_{13} = 6.28318530717959$$
$$x_{24} = 9.42477796076938$$
$$x_{1} = 12.5663706143592$$
$$x_{59} = 15.707963267949$$
$$x_{40} = 18.8495559215388$$
$$x_{18} = 21.9911485751286$$
$$x_{43} = 28.2743338823081$$
$$x_{48} = 31.4159265358979$$
$$x_{25} = 34.5575191894877$$
$$x_{4} = 37.6991118430775$$
$$x_{37} = 40.8407044966673$$
$$x_{57} = 43.9822971502571$$
$$x_{20} = 50.2654824574367$$
$$x_{2} = 53.4070751110265$$
$$x_{44} = 56.5486677646163$$
$$x_{41} = 59.6902604182061$$
$$x_{19} = 62.8318530717959$$
$$x_{27} = 65.9734457253857$$
$$x_{55} = 72.2566310325652$$
$$x_{51} = 75.398223686155$$
$$x_{6} = 78.5398163397448$$
$$x_{21} = 81.6814089933346$$
$$x_{54} = 84.8230016469244$$
$$x_{60} = 87.9645943005142$$
$$x_{49} = 94.2477796076938$$
$$x_{5} = 97.3893722612836$$
$$x_{22} = 100.530964914873$$
$$x_{29} = 650.309679293087$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} \leq x_{26}$$
For example, let's take the point
$$x_{0} = x_{26} - \frac{1}{10}$$
=
$$-3760.48640634698 + - \frac{1}{10}$$
=
$$-3760.58640634698$$
substitute to the expression
$$\left|{\sin{\left(x \right)}}\right| \leq 0$$
$$\left|{\sin{\left(-3760.58640634698 \right)}}\right| \leq 0$$
but
Then
$$x \leq -3760.48640634698$$
no execute
one of the solutions of our inequality is:
$$x \geq -3760.48640634698 \wedge x \leq -427.256600888212$$
Other solutions will get with the changeover to the next point
etc.
The answer:
$$x \geq -3760.48640634698 \wedge x \leq -427.256600888212$$
$$x \geq -285.884931476671 \wedge x \leq -100.530964914873$$
$$x \geq -97.3893722612836 \wedge x \leq -94.2477796076938$$
$$x \geq -91.106186954104 \wedge x \leq -87.9645943005142$$
$$x \geq -81.6814089933346 \wedge x \leq -78.5398163397448$$
$$x \geq -75.398223686155 \wedge x \leq -72.2566310325652$$
$$x \geq -69.1150383789755 \wedge x \leq -65.9734457253857$$
$$x \geq -59.6902604182061 \wedge x \leq -56.5486677646163$$
$$x \geq -53.4070751110265 \wedge x \leq -50.2654824574367$$
$$x \geq -47.1238898038469 \wedge x \leq -43.9822971502571$$
$$x \geq -37.6991118430775 \wedge x \leq -34.5575191894877$$
$$x \geq -31.4159265358979 \wedge x \leq -28.2743338823081$$
$$x \geq -25.1327412287183 \wedge x \leq -21.9911485751286$$
$$x \geq -15.707963267949 \wedge x \leq -12.5663706143592$$
$$x \geq -9.42477796076938 \wedge x \leq -6.28318530717959$$
$$x \geq -3.14159265358979 \wedge x \leq 0$$
$$x \geq 6.28318530717959 \wedge x \leq 9.42477796076938$$
$$x \geq 12.5663706143592 \wedge x \leq 15.707963267949$$
$$x \geq 18.8495559215388 \wedge x \leq 21.9911485751286$$
$$x \geq 28.2743338823081 \wedge x \leq 31.4159265358979$$
$$x \geq 34.5575191894877 \wedge x \leq 37.6991118430775$$
$$x \geq 40.8407044966673 \wedge x \leq 43.9822971502571$$
$$x \geq 50.2654824574367 \wedge x \leq 53.4070751110265$$
$$x \geq 56.5486677646163 \wedge x \leq 59.6902604182061$$
$$x \geq 62.8318530717959 \wedge x \leq 65.9734457253857$$
$$x \geq 72.2566310325652 \wedge x \leq 75.398223686155$$
$$x \geq 78.5398163397448 \wedge x \leq 81.6814089933346$$
$$x \geq 84.8230016469244 \wedge x \leq 87.9645943005142$$
$$x \geq 94.2477796076938 \wedge x \leq 97.3893722612836$$
$$x \geq 100.530964914873 \wedge x \leq 650.309679293087$$
$$\left|{\sin{\left(x \right)}}\right| \leq 0$$
To solve this inequality, we must first solve the corresponding equation:
$$\left|{\sin{\left(x \right)}}\right| = 0$$
Solve:
Given the equation
$$\left|{\sin{\left(x \right)}}\right| = 0$$
transform
$$\left|{\sin{\left(x \right)}}\right| - 1 = 0$$
$$\left|{\sin{\left(x \right)}}\right| - 1 = 0$$
Do replacement
$$w = \left|{\sin{\left(x \right)}}\right|$$
Move free summands (without w)
from left part to right part, we given:
$$w = 1$$
We get the answer: w = 1
do backward replacement
$$\left|{\sin{\left(x \right)}}\right| = w$$
substitute w:
$$x_{1} = 12.5663706143592$$
$$x_{2} = 53.4070751110265$$
$$x_{3} = -97.3893722612836$$
$$x_{4} = 37.6991118430775$$
$$x_{5} = 97.3893722612836$$
$$x_{6} = 78.5398163397448$$
$$x_{7} = -59.6902604182061$$
$$x_{8} = -65.9734457253857$$
$$x_{9} = 0$$
$$x_{10} = -31.4159265358979$$
$$x_{11} = -50.2654824574367$$
$$x_{12} = -21.9911485751286$$
$$x_{13} = 6.28318530717959$$
$$x_{14} = -34.5575191894877$$
$$x_{15} = -94.2477796076938$$
$$x_{16} = -69.1150383789755$$
$$x_{17} = -15.707963267949$$
$$x_{18} = 21.9911485751286$$
$$x_{19} = 62.8318530717959$$
$$x_{20} = 50.2654824574367$$
$$x_{21} = 81.6814089933346$$
$$x_{22} = 100.530964914873$$
$$x_{23} = -87.9645943005142$$
$$x_{24} = 9.42477796076938$$
$$x_{25} = 34.5575191894877$$
$$x_{26} = -3760.48640634698$$
$$x_{27} = 65.9734457253857$$
$$x_{28} = -28.2743338823081$$
$$x_{29} = 650.309679293087$$
$$x_{30} = -427.256600888212$$
$$x_{31} = -56.5486677646163$$
$$x_{32} = -53.4070751110265$$
$$x_{33} = -37.6991118430775$$
$$x_{34} = -25.1327412287183$$
$$x_{35} = -100.530964914873$$
$$x_{36} = -9.42477796076938$$
$$x_{37} = 40.8407044966673$$
$$x_{38} = -91.106186954104$$
$$x_{39} = -75.398223686155$$
$$x_{40} = 18.8495559215388$$
$$x_{41} = 59.6902604182061$$
$$x_{42} = -6.28318530717959$$
$$x_{43} = 28.2743338823081$$
$$x_{44} = 56.5486677646163$$
$$x_{45} = -43.9822971502571$$
$$x_{46} = -47.1238898038469$$
$$x_{47} = -3.14159265358979$$
$$x_{48} = 31.4159265358979$$
$$x_{49} = 94.2477796076938$$
$$x_{50} = -12.5663706143592$$
$$x_{51} = 75.398223686155$$
$$x_{52} = -285.884931476671$$
$$x_{53} = -72.2566310325652$$
$$x_{54} = 84.8230016469244$$
$$x_{55} = 72.2566310325652$$
$$x_{56} = -81.6814089933346$$
$$x_{57} = 43.9822971502571$$
$$x_{58} = -78.5398163397448$$
$$x_{59} = 15.707963267949$$
$$x_{60} = 87.9645943005142$$
$$x_{1} = 12.5663706143592$$
$$x_{2} = 53.4070751110265$$
$$x_{3} = -97.3893722612836$$
$$x_{4} = 37.6991118430775$$
$$x_{5} = 97.3893722612836$$
$$x_{6} = 78.5398163397448$$
$$x_{7} = -59.6902604182061$$
$$x_{8} = -65.9734457253857$$
$$x_{9} = 0$$
$$x_{10} = -31.4159265358979$$
$$x_{11} = -50.2654824574367$$
$$x_{12} = -21.9911485751286$$
$$x_{13} = 6.28318530717959$$
$$x_{14} = -34.5575191894877$$
$$x_{15} = -94.2477796076938$$
$$x_{16} = -69.1150383789755$$
$$x_{17} = -15.707963267949$$
$$x_{18} = 21.9911485751286$$
$$x_{19} = 62.8318530717959$$
$$x_{20} = 50.2654824574367$$
$$x_{21} = 81.6814089933346$$
$$x_{22} = 100.530964914873$$
$$x_{23} = -87.9645943005142$$
$$x_{24} = 9.42477796076938$$
$$x_{25} = 34.5575191894877$$
$$x_{26} = -3760.48640634698$$
$$x_{27} = 65.9734457253857$$
$$x_{28} = -28.2743338823081$$
$$x_{29} = 650.309679293087$$
$$x_{30} = -427.256600888212$$
$$x_{31} = -56.5486677646163$$
$$x_{32} = -53.4070751110265$$
$$x_{33} = -37.6991118430775$$
$$x_{34} = -25.1327412287183$$
$$x_{35} = -100.530964914873$$
$$x_{36} = -9.42477796076938$$
$$x_{37} = 40.8407044966673$$
$$x_{38} = -91.106186954104$$
$$x_{39} = -75.398223686155$$
$$x_{40} = 18.8495559215388$$
$$x_{41} = 59.6902604182061$$
$$x_{42} = -6.28318530717959$$
$$x_{43} = 28.2743338823081$$
$$x_{44} = 56.5486677646163$$
$$x_{45} = -43.9822971502571$$
$$x_{46} = -47.1238898038469$$
$$x_{47} = -3.14159265358979$$
$$x_{48} = 31.4159265358979$$
$$x_{49} = 94.2477796076938$$
$$x_{50} = -12.5663706143592$$
$$x_{51} = 75.398223686155$$
$$x_{52} = -285.884931476671$$
$$x_{53} = -72.2566310325652$$
$$x_{54} = 84.8230016469244$$
$$x_{55} = 72.2566310325652$$
$$x_{56} = -81.6814089933346$$
$$x_{57} = 43.9822971502571$$
$$x_{58} = -78.5398163397448$$
$$x_{59} = 15.707963267949$$
$$x_{60} = 87.9645943005142$$
This roots
$$x_{26} = -3760.48640634698$$
$$x_{30} = -427.256600888212$$
$$x_{52} = -285.884931476671$$
$$x_{35} = -100.530964914873$$
$$x_{3} = -97.3893722612836$$
$$x_{15} = -94.2477796076938$$
$$x_{38} = -91.106186954104$$
$$x_{23} = -87.9645943005142$$
$$x_{56} = -81.6814089933346$$
$$x_{58} = -78.5398163397448$$
$$x_{39} = -75.398223686155$$
$$x_{53} = -72.2566310325652$$
$$x_{16} = -69.1150383789755$$
$$x_{8} = -65.9734457253857$$
$$x_{7} = -59.6902604182061$$
$$x_{31} = -56.5486677646163$$
$$x_{32} = -53.4070751110265$$
$$x_{11} = -50.2654824574367$$
$$x_{46} = -47.1238898038469$$
$$x_{45} = -43.9822971502571$$
$$x_{33} = -37.6991118430775$$
$$x_{14} = -34.5575191894877$$
$$x_{10} = -31.4159265358979$$
$$x_{28} = -28.2743338823081$$
$$x_{34} = -25.1327412287183$$
$$x_{12} = -21.9911485751286$$
$$x_{17} = -15.707963267949$$
$$x_{50} = -12.5663706143592$$
$$x_{36} = -9.42477796076938$$
$$x_{42} = -6.28318530717959$$
$$x_{47} = -3.14159265358979$$
$$x_{9} = 0$$
$$x_{13} = 6.28318530717959$$
$$x_{24} = 9.42477796076938$$
$$x_{1} = 12.5663706143592$$
$$x_{59} = 15.707963267949$$
$$x_{40} = 18.8495559215388$$
$$x_{18} = 21.9911485751286$$
$$x_{43} = 28.2743338823081$$
$$x_{48} = 31.4159265358979$$
$$x_{25} = 34.5575191894877$$
$$x_{4} = 37.6991118430775$$
$$x_{37} = 40.8407044966673$$
$$x_{57} = 43.9822971502571$$
$$x_{20} = 50.2654824574367$$
$$x_{2} = 53.4070751110265$$
$$x_{44} = 56.5486677646163$$
$$x_{41} = 59.6902604182061$$
$$x_{19} = 62.8318530717959$$
$$x_{27} = 65.9734457253857$$
$$x_{55} = 72.2566310325652$$
$$x_{51} = 75.398223686155$$
$$x_{6} = 78.5398163397448$$
$$x_{21} = 81.6814089933346$$
$$x_{54} = 84.8230016469244$$
$$x_{60} = 87.9645943005142$$
$$x_{49} = 94.2477796076938$$
$$x_{5} = 97.3893722612836$$
$$x_{22} = 100.530964914873$$
$$x_{29} = 650.309679293087$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} \leq x_{26}$$
For example, let's take the point
$$x_{0} = x_{26} - \frac{1}{10}$$
=
$$-3760.48640634698 + - \frac{1}{10}$$
=
$$-3760.58640634698$$
substitute to the expression
$$\left|{\sin{\left(x \right)}}\right| \leq 0$$
$$\left|{\sin{\left(-3760.58640634698 \right)}}\right| \leq 0$$
0.0998334166469064 <= 0
but
0.0998334166469064 >= 0
Then
$$x \leq -3760.48640634698$$
no execute
one of the solutions of our inequality is:
$$x \geq -3760.48640634698 \wedge x \leq -427.256600888212$$
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x26 x30 x52 x35 x3 x15 x38 x23 x56 x58 x39 x53 x16 x8 x7 x31 x32 x11 x46 x45 x33 x14 x10 x28 x34 x12 x17 x50 x36 x42 x47 x9 x13 x24 x1 x59 x40 x18 x43 x48 x25 x4 x37 x57 x20 x2 x44 x41 x19 x27 x55 x51 x6 x21 x54 x60 x49 x5 x22 x29Other solutions will get with the changeover to the next point
etc.
The answer:
$$x \geq -3760.48640634698 \wedge x \leq -427.256600888212$$
$$x \geq -285.884931476671 \wedge x \leq -100.530964914873$$
$$x \geq -97.3893722612836 \wedge x \leq -94.2477796076938$$
$$x \geq -91.106186954104 \wedge x \leq -87.9645943005142$$
$$x \geq -81.6814089933346 \wedge x \leq -78.5398163397448$$
$$x \geq -75.398223686155 \wedge x \leq -72.2566310325652$$
$$x \geq -69.1150383789755 \wedge x \leq -65.9734457253857$$
$$x \geq -59.6902604182061 \wedge x \leq -56.5486677646163$$
$$x \geq -53.4070751110265 \wedge x \leq -50.2654824574367$$
$$x \geq -47.1238898038469 \wedge x \leq -43.9822971502571$$
$$x \geq -37.6991118430775 \wedge x \leq -34.5575191894877$$
$$x \geq -31.4159265358979 \wedge x \leq -28.2743338823081$$
$$x \geq -25.1327412287183 \wedge x \leq -21.9911485751286$$
$$x \geq -15.707963267949 \wedge x \leq -12.5663706143592$$
$$x \geq -9.42477796076938 \wedge x \leq -6.28318530717959$$
$$x \geq -3.14159265358979 \wedge x \leq 0$$
$$x \geq 6.28318530717959 \wedge x \leq 9.42477796076938$$
$$x \geq 12.5663706143592 \wedge x \leq 15.707963267949$$
$$x \geq 18.8495559215388 \wedge x \leq 21.9911485751286$$
$$x \geq 28.2743338823081 \wedge x \leq 31.4159265358979$$
$$x \geq 34.5575191894877 \wedge x \leq 37.6991118430775$$
$$x \geq 40.8407044966673 \wedge x \leq 43.9822971502571$$
$$x \geq 50.2654824574367 \wedge x \leq 53.4070751110265$$
$$x \geq 56.5486677646163 \wedge x \leq 59.6902604182061$$
$$x \geq 62.8318530717959 \wedge x \leq 65.9734457253857$$
$$x \geq 72.2566310325652 \wedge x \leq 75.398223686155$$
$$x \geq 78.5398163397448 \wedge x \leq 81.6814089933346$$
$$x \geq 84.8230016469244 \wedge x \leq 87.9645943005142$$
$$x \geq 94.2477796076938 \wedge x \leq 97.3893722612836$$
$$x \geq 100.530964914873 \wedge x \leq 650.309679293087$$
Solving inequality on a graph