Given the inequality:
cos ( t ) ≤ ( − 1 ) 2 2 \cos{\left(t \right)} \leq \frac{\left(-1\right) \sqrt{2}}{2} cos ( t ) ≤ 2 ( − 1 ) 2 To solve this inequality, we must first solve the corresponding equation:
cos ( t ) = ( − 1 ) 2 2 \cos{\left(t \right)} = \frac{\left(-1\right) \sqrt{2}}{2} cos ( t ) = 2 ( − 1 ) 2 Solve:
x 1 = − 79.3252145031423 x_{1} = -79.3252145031423 x 1 = − 79.3252145031423 x 2 = − 66.7588438887831 x_{2} = -66.7588438887831 x 2 = − 66.7588438887831 x 3 = − 73.0420291959627 x_{3} = -73.0420291959627 x 3 = − 73.0420291959627 x 4 = − 85.6083998103219 x_{4} = -85.6083998103219 x 4 = − 85.6083998103219 x 5 = − 21.2057504117311 x_{5} = -21.2057504117311 x 5 = − 21.2057504117311 x 6 = − 10.2101761241668 x_{6} = -10.2101761241668 x 6 = − 10.2101761241668 x 7 = − 335.36501577071 x_{7} = -335.36501577071 x 7 = − 335.36501577071 x 8 = 41.6261026600648 x_{8} = 41.6261026600648 x 8 = 41.6261026600648 x 9 = − 29.0597320457056 x_{9} = -29.0597320457056 x 9 = − 29.0597320457056 x 10 = 90.3207887907066 x_{10} = 90.3207887907066 x 10 = 90.3207887907066 x 11 = − 35.3429173528852 x_{11} = -35.3429173528852 x 11 = − 35.3429173528852 x 12 = 21.2057504117311 x_{12} = 21.2057504117311 x 12 = 21.2057504117311 x 13 = 2.35619449019234 x_{13} = 2.35619449019234 x 13 = 2.35619449019234 x 14 = 8.63937979737193 x_{14} = 8.63937979737193 x 14 = 8.63937979737193 x 15 = − 60.4756585816035 x_{15} = -60.4756585816035 x 15 = − 60.4756585816035 x 16 = − 52.621676947629 x_{16} = -52.621676947629 x 16 = − 52.621676947629 x 17 = 255.254403104171 x_{17} = 255.254403104171 x 17 = 255.254403104171 x 18 = 79.3252145031423 x_{18} = 79.3252145031423 x 18 = 79.3252145031423 x 19 = 3.92699081698724 x_{19} = 3.92699081698724 x 19 = 3.92699081698724 x 20 = 35.3429173528852 x_{20} = 35.3429173528852 x 20 = 35.3429173528852 x 21 = − 46.3384916404494 x_{21} = -46.3384916404494 x 21 = − 46.3384916404494 x 22 = 60.4756585816035 x_{22} = 60.4756585816035 x 22 = 60.4756585816035 x 23 = − 27.4889357189107 x_{23} = -27.4889357189107 x 23 = − 27.4889357189107 x 24 = − 2.35619449019234 x_{24} = -2.35619449019234 x 24 = − 2.35619449019234 x 25 = 29.0597320457056 x_{25} = 29.0597320457056 x 25 = 29.0597320457056 x 26 = 71.4712328691678 x_{26} = 71.4712328691678 x 26 = 71.4712328691678 x 27 = − 90.3207887907066 x_{27} = -90.3207887907066 x 27 = − 90.3207887907066 x 28 = 39349.2333843756 x_{28} = 39349.2333843756 x 28 = 39349.2333843756 x 29 = 14.9225651045515 x_{29} = 14.9225651045515 x 29 = 14.9225651045515 x 30 = 47.9092879672443 x_{30} = 47.9092879672443 x 30 = 47.9092879672443 x 31 = − 77.7544181763474 x_{31} = -77.7544181763474 x 31 = − 77.7544181763474 x 32 = 33.7721210260903 x_{32} = 33.7721210260903 x 32 = 33.7721210260903 x 33 = 73.0420291959627 x_{33} = 73.0420291959627 x 33 = 73.0420291959627 x 34 = 77.7544181763474 x_{34} = 77.7544181763474 x 34 = 77.7544181763474 x 35 = − 54.1924732744239 x_{35} = -54.1924732744239 x 35 = − 54.1924732744239 x 36 = 54.1924732744239 x_{36} = 54.1924732744239 x 36 = 54.1924732744239 x 37 = 46.3384916404494 x_{37} = 46.3384916404494 x 37 = 46.3384916404494 x 38 = − 47.9092879672443 x_{38} = -47.9092879672443 x 38 = − 47.9092879672443 x 39 = − 65.1880475619882 x_{39} = -65.1880475619882 x 39 = − 65.1880475619882 x 40 = 2584.745355741 x_{40} = 2584.745355741 x 40 = 2584.745355741 x 41 = 96.6039740978861 x_{41} = 96.6039740978861 x 41 = 96.6039740978861 x 42 = 66.7588438887831 x_{42} = 66.7588438887831 x 42 = 66.7588438887831 x 43 = − 96.6039740978861 x_{43} = -96.6039740978861 x 43 = − 96.6039740978861 x 44 = 65.1880475619882 x_{44} = 65.1880475619882 x 44 = 65.1880475619882 x 45 = 104.457955731861 x_{45} = 104.457955731861 x 45 = 104.457955731861 x 46 = 85.6083998103219 x_{46} = 85.6083998103219 x 46 = 85.6083998103219 x 47 = 16.4933614313464 x_{47} = 16.4933614313464 x 47 = 16.4933614313464 x 48 = − 71.4712328691678 x_{48} = -71.4712328691678 x 48 = − 71.4712328691678 x 49 = − 8.63937979737193 x_{49} = -8.63937979737193 x 49 = − 8.63937979737193 x 50 = − 3.92699081698724 x_{50} = -3.92699081698724 x 50 = − 3.92699081698724 x 51 = 27.4889357189107 x_{51} = 27.4889357189107 x 51 = 27.4889357189107 x 52 = 98.174770424681 x_{52} = 98.174770424681 x 52 = 98.174770424681 x 53 = 52.621676947629 x_{53} = 52.621676947629 x 53 = 52.621676947629 x 54 = − 14.9225651045515 x_{54} = -14.9225651045515 x 54 = − 14.9225651045515 x 55 = − 40.0553063332699 x_{55} = -40.0553063332699 x 55 = − 40.0553063332699 x 56 = 22.776546738526 x_{56} = 22.776546738526 x 56 = 22.776546738526 x 57 = − 41.6261026600648 x_{57} = -41.6261026600648 x 57 = − 41.6261026600648 x 58 = − 16.4933614313464 x_{58} = -16.4933614313464 x 58 = − 16.4933614313464 x 59 = 40.0553063332699 x_{59} = 40.0553063332699 x 59 = 40.0553063332699 x 60 = 58.9048622548086 x_{60} = 58.9048622548086 x 60 = 58.9048622548086 x 61 = − 58.9048622548086 x_{61} = -58.9048622548086 x 61 = − 58.9048622548086 x 62 = − 84.037603483527 x_{62} = -84.037603483527 x 62 = − 84.037603483527 x 63 = 91.8915851175014 x_{63} = 91.8915851175014 x 63 = 91.8915851175014 x 64 = − 33.7721210260903 x_{64} = -33.7721210260903 x 64 = − 33.7721210260903 x 65 = 10.2101761241668 x_{65} = 10.2101761241668 x 65 = 10.2101761241668 x 66 = − 22.776546738526 x_{66} = -22.776546738526 x 66 = − 22.776546738526 x 67 = − 98.174770424681 x_{67} = -98.174770424681 x 67 = − 98.174770424681 x 68 = 84.037603483527 x_{68} = 84.037603483527 x 68 = 84.037603483527 x 69 = − 91.8915851175014 x_{69} = -91.8915851175014 x 69 = − 91.8915851175014 x 1 = − 79.3252145031423 x_{1} = -79.3252145031423 x 1 = − 79.3252145031423 x 2 = − 66.7588438887831 x_{2} = -66.7588438887831 x 2 = − 66.7588438887831 x 3 = − 73.0420291959627 x_{3} = -73.0420291959627 x 3 = − 73.0420291959627 x 4 = − 85.6083998103219 x_{4} = -85.6083998103219 x 4 = − 85.6083998103219 x 5 = − 21.2057504117311 x_{5} = -21.2057504117311 x 5 = − 21.2057504117311 x 6 = − 10.2101761241668 x_{6} = -10.2101761241668 x 6 = − 10.2101761241668 x 7 = − 335.36501577071 x_{7} = -335.36501577071 x 7 = − 335.36501577071 x 8 = 41.6261026600648 x_{8} = 41.6261026600648 x 8 = 41.6261026600648 x 9 = − 29.0597320457056 x_{9} = -29.0597320457056 x 9 = − 29.0597320457056 x 10 = 90.3207887907066 x_{10} = 90.3207887907066 x 10 = 90.3207887907066 x 11 = − 35.3429173528852 x_{11} = -35.3429173528852 x 11 = − 35.3429173528852 x 12 = 21.2057504117311 x_{12} = 21.2057504117311 x 12 = 21.2057504117311 x 13 = 2.35619449019234 x_{13} = 2.35619449019234 x 13 = 2.35619449019234 x 14 = 8.63937979737193 x_{14} = 8.63937979737193 x 14 = 8.63937979737193 x 15 = − 60.4756585816035 x_{15} = -60.4756585816035 x 15 = − 60.4756585816035 x 16 = − 52.621676947629 x_{16} = -52.621676947629 x 16 = − 52.621676947629 x 17 = 255.254403104171 x_{17} = 255.254403104171 x 17 = 255.254403104171 x 18 = 79.3252145031423 x_{18} = 79.3252145031423 x 18 = 79.3252145031423 x 19 = 3.92699081698724 x_{19} = 3.92699081698724 x 19 = 3.92699081698724 x 20 = 35.3429173528852 x_{20} = 35.3429173528852 x 20 = 35.3429173528852 x 21 = − 46.3384916404494 x_{21} = -46.3384916404494 x 21 = − 46.3384916404494 x 22 = 60.4756585816035 x_{22} = 60.4756585816035 x 22 = 60.4756585816035 x 23 = − 27.4889357189107 x_{23} = -27.4889357189107 x 23 = − 27.4889357189107 x 24 = − 2.35619449019234 x_{24} = -2.35619449019234 x 24 = − 2.35619449019234 x 25 = 29.0597320457056 x_{25} = 29.0597320457056 x 25 = 29.0597320457056 x 26 = 71.4712328691678 x_{26} = 71.4712328691678 x 26 = 71.4712328691678 x 27 = − 90.3207887907066 x_{27} = -90.3207887907066 x 27 = − 90.3207887907066 x 28 = 39349.2333843756 x_{28} = 39349.2333843756 x 28 = 39349.2333843756 x 29 = 14.9225651045515 x_{29} = 14.9225651045515 x 29 = 14.9225651045515 x 30 = 47.9092879672443 x_{30} = 47.9092879672443 x 30 = 47.9092879672443 x 31 = − 77.7544181763474 x_{31} = -77.7544181763474 x 31 = − 77.7544181763474 x 32 = 33.7721210260903 x_{32} = 33.7721210260903 x 32 = 33.7721210260903 x 33 = 73.0420291959627 x_{33} = 73.0420291959627 x 33 = 73.0420291959627 x 34 = 77.7544181763474 x_{34} = 77.7544181763474 x 34 = 77.7544181763474 x 35 = − 54.1924732744239 x_{35} = -54.1924732744239 x 35 = − 54.1924732744239 x 36 = 54.1924732744239 x_{36} = 54.1924732744239 x 36 = 54.1924732744239 x 37 = 46.3384916404494 x_{37} = 46.3384916404494 x 37 = 46.3384916404494 x 38 = − 47.9092879672443 x_{38} = -47.9092879672443 x 38 = − 47.9092879672443 x 39 = − 65.1880475619882 x_{39} = -65.1880475619882 x 39 = − 65.1880475619882 x 40 = 2584.745355741 x_{40} = 2584.745355741 x 40 = 2584.745355741 x 41 = 96.6039740978861 x_{41} = 96.6039740978861 x 41 = 96.6039740978861 x 42 = 66.7588438887831 x_{42} = 66.7588438887831 x 42 = 66.7588438887831 x 43 = − 96.6039740978861 x_{43} = -96.6039740978861 x 43 = − 96.6039740978861 x 44 = 65.1880475619882 x_{44} = 65.1880475619882 x 44 = 65.1880475619882 x 45 = 104.457955731861 x_{45} = 104.457955731861 x 45 = 104.457955731861 x 46 = 85.6083998103219 x_{46} = 85.6083998103219 x 46 = 85.6083998103219 x 47 = 16.4933614313464 x_{47} = 16.4933614313464 x 47 = 16.4933614313464 x 48 = − 71.4712328691678 x_{48} = -71.4712328691678 x 48 = − 71.4712328691678 x 49 = − 8.63937979737193 x_{49} = -8.63937979737193 x 49 = − 8.63937979737193 x 50 = − 3.92699081698724 x_{50} = -3.92699081698724 x 50 = − 3.92699081698724 x 51 = 27.4889357189107 x_{51} = 27.4889357189107 x 51 = 27.4889357189107 x 52 = 98.174770424681 x_{52} = 98.174770424681 x 52 = 98.174770424681 x 53 = 52.621676947629 x_{53} = 52.621676947629 x 53 = 52.621676947629 x 54 = − 14.9225651045515 x_{54} = -14.9225651045515 x 54 = − 14.9225651045515 x 55 = − 40.0553063332699 x_{55} = -40.0553063332699 x 55 = − 40.0553063332699 x 56 = 22.776546738526 x_{56} = 22.776546738526 x 56 = 22.776546738526 x 57 = − 41.6261026600648 x_{57} = -41.6261026600648 x 57 = − 41.6261026600648 x 58 = − 16.4933614313464 x_{58} = -16.4933614313464 x 58 = − 16.4933614313464 x 59 = 40.0553063332699 x_{59} = 40.0553063332699 x 59 = 40.0553063332699 x 60 = 58.9048622548086 x_{60} = 58.9048622548086 x 60 = 58.9048622548086 x 61 = − 58.9048622548086 x_{61} = -58.9048622548086 x 61 = − 58.9048622548086 x 62 = − 84.037603483527 x_{62} = -84.037603483527 x 62 = − 84.037603483527 x 63 = 91.8915851175014 x_{63} = 91.8915851175014 x 63 = 91.8915851175014 x 64 = − 33.7721210260903 x_{64} = -33.7721210260903 x 64 = − 33.7721210260903 x 65 = 10.2101761241668 x_{65} = 10.2101761241668 x 65 = 10.2101761241668 x 66 = − 22.776546738526 x_{66} = -22.776546738526 x 66 = − 22.776546738526 x 67 = − 98.174770424681 x_{67} = -98.174770424681 x 67 = − 98.174770424681 x 68 = 84.037603483527 x_{68} = 84.037603483527 x 68 = 84.037603483527 x 69 = − 91.8915851175014 x_{69} = -91.8915851175014 x 69 = − 91.8915851175014 This roots
x 7 = − 335.36501577071 x_{7} = -335.36501577071 x 7 = − 335.36501577071 x 67 = − 98.174770424681 x_{67} = -98.174770424681 x 67 = − 98.174770424681 x 43 = − 96.6039740978861 x_{43} = -96.6039740978861 x 43 = − 96.6039740978861 x 69 = − 91.8915851175014 x_{69} = -91.8915851175014 x 69 = − 91.8915851175014 x 27 = − 90.3207887907066 x_{27} = -90.3207887907066 x 27 = − 90.3207887907066 x 4 = − 85.6083998103219 x_{4} = -85.6083998103219 x 4 = − 85.6083998103219 x 62 = − 84.037603483527 x_{62} = -84.037603483527 x 62 = − 84.037603483527 x 1 = − 79.3252145031423 x_{1} = -79.3252145031423 x 1 = − 79.3252145031423 x 31 = − 77.7544181763474 x_{31} = -77.7544181763474 x 31 = − 77.7544181763474 x 3 = − 73.0420291959627 x_{3} = -73.0420291959627 x 3 = − 73.0420291959627 x 48 = − 71.4712328691678 x_{48} = -71.4712328691678 x 48 = − 71.4712328691678 x 2 = − 66.7588438887831 x_{2} = -66.7588438887831 x 2 = − 66.7588438887831 x 39 = − 65.1880475619882 x_{39} = -65.1880475619882 x 39 = − 65.1880475619882 x 15 = − 60.4756585816035 x_{15} = -60.4756585816035 x 15 = − 60.4756585816035 x 61 = − 58.9048622548086 x_{61} = -58.9048622548086 x 61 = − 58.9048622548086 x 35 = − 54.1924732744239 x_{35} = -54.1924732744239 x 35 = − 54.1924732744239 x 16 = − 52.621676947629 x_{16} = -52.621676947629 x 16 = − 52.621676947629 x 38 = − 47.9092879672443 x_{38} = -47.9092879672443 x 38 = − 47.9092879672443 x 21 = − 46.3384916404494 x_{21} = -46.3384916404494 x 21 = − 46.3384916404494 x 57 = − 41.6261026600648 x_{57} = -41.6261026600648 x 57 = − 41.6261026600648 x 55 = − 40.0553063332699 x_{55} = -40.0553063332699 x 55 = − 40.0553063332699 x 11 = − 35.3429173528852 x_{11} = -35.3429173528852 x 11 = − 35.3429173528852 x 64 = − 33.7721210260903 x_{64} = -33.7721210260903 x 64 = − 33.7721210260903 x 9 = − 29.0597320457056 x_{9} = -29.0597320457056 x 9 = − 29.0597320457056 x 23 = − 27.4889357189107 x_{23} = -27.4889357189107 x 23 = − 27.4889357189107 x 66 = − 22.776546738526 x_{66} = -22.776546738526 x 66 = − 22.776546738526 x 5 = − 21.2057504117311 x_{5} = -21.2057504117311 x 5 = − 21.2057504117311 x 58 = − 16.4933614313464 x_{58} = -16.4933614313464 x 58 = − 16.4933614313464 x 54 = − 14.9225651045515 x_{54} = -14.9225651045515 x 54 = − 14.9225651045515 x 6 = − 10.2101761241668 x_{6} = -10.2101761241668 x 6 = − 10.2101761241668 x 49 = − 8.63937979737193 x_{49} = -8.63937979737193 x 49 = − 8.63937979737193 x 50 = − 3.92699081698724 x_{50} = -3.92699081698724 x 50 = − 3.92699081698724 x 24 = − 2.35619449019234 x_{24} = -2.35619449019234 x 24 = − 2.35619449019234 x 13 = 2.35619449019234 x_{13} = 2.35619449019234 x 13 = 2.35619449019234 x 19 = 3.92699081698724 x_{19} = 3.92699081698724 x 19 = 3.92699081698724 x 14 = 8.63937979737193 x_{14} = 8.63937979737193 x 14 = 8.63937979737193 x 65 = 10.2101761241668 x_{65} = 10.2101761241668 x 65 = 10.2101761241668 x 29 = 14.9225651045515 x_{29} = 14.9225651045515 x 29 = 14.9225651045515 x 47 = 16.4933614313464 x_{47} = 16.4933614313464 x 47 = 16.4933614313464 x 12 = 21.2057504117311 x_{12} = 21.2057504117311 x 12 = 21.2057504117311 x 56 = 22.776546738526 x_{56} = 22.776546738526 x 56 = 22.776546738526 x 51 = 27.4889357189107 x_{51} = 27.4889357189107 x 51 = 27.4889357189107 x 25 = 29.0597320457056 x_{25} = 29.0597320457056 x 25 = 29.0597320457056 x 32 = 33.7721210260903 x_{32} = 33.7721210260903 x 32 = 33.7721210260903 x 20 = 35.3429173528852 x_{20} = 35.3429173528852 x 20 = 35.3429173528852 x 59 = 40.0553063332699 x_{59} = 40.0553063332699 x 59 = 40.0553063332699 x 8 = 41.6261026600648 x_{8} = 41.6261026600648 x 8 = 41.6261026600648 x 37 = 46.3384916404494 x_{37} = 46.3384916404494 x 37 = 46.3384916404494 x 30 = 47.9092879672443 x_{30} = 47.9092879672443 x 30 = 47.9092879672443 x 53 = 52.621676947629 x_{53} = 52.621676947629 x 53 = 52.621676947629 x 36 = 54.1924732744239 x_{36} = 54.1924732744239 x 36 = 54.1924732744239 x 60 = 58.9048622548086 x_{60} = 58.9048622548086 x 60 = 58.9048622548086 x 22 = 60.4756585816035 x_{22} = 60.4756585816035 x 22 = 60.4756585816035 x 44 = 65.1880475619882 x_{44} = 65.1880475619882 x 44 = 65.1880475619882 x 42 = 66.7588438887831 x_{42} = 66.7588438887831 x 42 = 66.7588438887831 x 26 = 71.4712328691678 x_{26} = 71.4712328691678 x 26 = 71.4712328691678 x 33 = 73.0420291959627 x_{33} = 73.0420291959627 x 33 = 73.0420291959627 x 34 = 77.7544181763474 x_{34} = 77.7544181763474 x 34 = 77.7544181763474 x 18 = 79.3252145031423 x_{18} = 79.3252145031423 x 18 = 79.3252145031423 x 68 = 84.037603483527 x_{68} = 84.037603483527 x 68 = 84.037603483527 x 46 = 85.6083998103219 x_{46} = 85.6083998103219 x 46 = 85.6083998103219 x 10 = 90.3207887907066 x_{10} = 90.3207887907066 x 10 = 90.3207887907066 x 63 = 91.8915851175014 x_{63} = 91.8915851175014 x 63 = 91.8915851175014 x 41 = 96.6039740978861 x_{41} = 96.6039740978861 x 41 = 96.6039740978861 x 52 = 98.174770424681 x_{52} = 98.174770424681 x 52 = 98.174770424681 x 45 = 104.457955731861 x_{45} = 104.457955731861 x 45 = 104.457955731861 x 17 = 255.254403104171 x_{17} = 255.254403104171 x 17 = 255.254403104171 x 40 = 2584.745355741 x_{40} = 2584.745355741 x 40 = 2584.745355741 x 28 = 39349.2333843756 x_{28} = 39349.2333843756 x 28 = 39349.2333843756 is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
x 0 ≤ x 7 x_{0} \leq x_{7} x 0 ≤ x 7 For example, let's take the point
x 0 = x 7 − 1 10 x_{0} = x_{7} - \frac{1}{10} x 0 = x 7 − 10 1 =
− 335.36501577071 + − 1 10 -335.36501577071 + - \frac{1}{10} − 335.36501577071 + − 10 1 =
− 335.46501577071 -335.46501577071 − 335.46501577071 substitute to the expression
cos ( t ) ≤ ( − 1 ) 2 2 \cos{\left(t \right)} \leq \frac{\left(-1\right) \sqrt{2}}{2} cos ( t ) ≤ 2 ( − 1 ) 2 cos ( t ) ≤ ( − 1 ) 2 2 \cos{\left(t \right)} \leq \frac{\left(-1\right) \sqrt{2}}{2} cos ( t ) ≤ 2 ( − 1 ) 2 ___
-\/ 2
cos(t) <= -------
2
Then
x ≤ − 335.36501577071 x \leq -335.36501577071 x ≤ − 335.36501577071 no execute
one of the solutions of our inequality is:
x ≥ − 335.36501577071 ∧ x ≤ − 98.174770424681 x \geq -335.36501577071 \wedge x \leq -98.174770424681 x ≥ − 335.36501577071 ∧ x ≤ − 98.174770424681 _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____
/ \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
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x7 x67 x43 x69 x27 x4 x62 x1 x31 x3 x48 x2 x39 x15 x61 x35 x16 x38 x21 x57 x55 x11 x64 x9 x23 x66 x5 x58 x54 x6 x49 x50 x24 x13 x19 x14 x65 x29 x47 x12 x56 x51 x25 x32 x20 x59 x8 x37 x30 x53 x36 x60 x22 x44 x42 x26 x33 x34 x18 x68 x46 x10 x63 x41 x52 x45 x17 x40 x28 Other solutions will get with the changeover to the next point
etc.
The answer:
x ≥ − 335.36501577071 ∧ x ≤ − 98.174770424681 x \geq -335.36501577071 \wedge x \leq -98.174770424681 x ≥ − 335.36501577071 ∧ x ≤ − 98.174770424681 x ≥ − 96.6039740978861 ∧ x ≤ − 91.8915851175014 x \geq -96.6039740978861 \wedge x \leq -91.8915851175014 x ≥ − 96.6039740978861 ∧ x ≤ − 91.8915851175014 x ≥ − 90.3207887907066 ∧ x ≤ − 85.6083998103219 x \geq -90.3207887907066 \wedge x \leq -85.6083998103219 x ≥ − 90.3207887907066 ∧ x ≤ − 85.6083998103219 x ≥ − 84.037603483527 ∧ x ≤ − 79.3252145031423 x \geq -84.037603483527 \wedge x \leq -79.3252145031423 x ≥ − 84.037603483527 ∧ x ≤ − 79.3252145031423 x ≥ − 77.7544181763474 ∧ x ≤ − 73.0420291959627 x \geq -77.7544181763474 \wedge x \leq -73.0420291959627 x ≥ − 77.7544181763474 ∧ x ≤ − 73.0420291959627 x ≥ − 71.4712328691678 ∧ x ≤ − 66.7588438887831 x \geq -71.4712328691678 \wedge x \leq -66.7588438887831 x ≥ − 71.4712328691678 ∧ x ≤ − 66.7588438887831 x ≥ − 65.1880475619882 ∧ x ≤ − 60.4756585816035 x \geq -65.1880475619882 \wedge x \leq -60.4756585816035 x ≥ − 65.1880475619882 ∧ x ≤ − 60.4756585816035 x ≥ − 58.9048622548086 ∧ x ≤ − 54.1924732744239 x \geq -58.9048622548086 \wedge x \leq -54.1924732744239 x ≥ − 58.9048622548086 ∧ x ≤ − 54.1924732744239 x ≥ − 52.621676947629 ∧ x ≤ − 47.9092879672443 x \geq -52.621676947629 \wedge x \leq -47.9092879672443 x ≥ − 52.621676947629 ∧ x ≤ − 47.9092879672443 x ≥ − 46.3384916404494 ∧ x ≤ − 41.6261026600648 x \geq -46.3384916404494 \wedge x \leq -41.6261026600648 x ≥ − 46.3384916404494 ∧ x ≤ − 41.6261026600648 x ≥ − 40.0553063332699 ∧ x ≤ − 35.3429173528852 x \geq -40.0553063332699 \wedge x \leq -35.3429173528852 x ≥ − 40.0553063332699 ∧ x ≤ − 35.3429173528852 x ≥ − 33.7721210260903 ∧ x ≤ − 29.0597320457056 x \geq -33.7721210260903 \wedge x \leq -29.0597320457056 x ≥ − 33.7721210260903 ∧ x ≤ − 29.0597320457056 x ≥ − 27.4889357189107 ∧ x ≤ − 22.776546738526 x \geq -27.4889357189107 \wedge x \leq -22.776546738526 x ≥ − 27.4889357189107 ∧ x ≤ − 22.776546738526 x ≥ − 21.2057504117311 ∧ x ≤ − 16.4933614313464 x \geq -21.2057504117311 \wedge x \leq -16.4933614313464 x ≥ − 21.2057504117311 ∧ x ≤ − 16.4933614313464 x ≥ − 14.9225651045515 ∧ x ≤ − 10.2101761241668 x \geq -14.9225651045515 \wedge x \leq -10.2101761241668 x ≥ − 14.9225651045515 ∧ x ≤ − 10.2101761241668 x ≥ − 8.63937979737193 ∧ x ≤ − 3.92699081698724 x \geq -8.63937979737193 \wedge x \leq -3.92699081698724 x ≥ − 8.63937979737193 ∧ x ≤ − 3.92699081698724 x ≥ − 2.35619449019234 ∧ x ≤ 2.35619449019234 x \geq -2.35619449019234 \wedge x \leq 2.35619449019234 x ≥ − 2.35619449019234 ∧ x ≤ 2.35619449019234 x ≥ 3.92699081698724 ∧ x ≤ 8.63937979737193 x \geq 3.92699081698724 \wedge x \leq 8.63937979737193 x ≥ 3.92699081698724 ∧ x ≤ 8.63937979737193 x ≥ 10.2101761241668 ∧ x ≤ 14.9225651045515 x \geq 10.2101761241668 \wedge x \leq 14.9225651045515 x ≥ 10.2101761241668 ∧ x ≤ 14.9225651045515 x ≥ 16.4933614313464 ∧ x ≤ 21.2057504117311 x \geq 16.4933614313464 \wedge x \leq 21.2057504117311 x ≥ 16.4933614313464 ∧ x ≤ 21.2057504117311 x ≥ 22.776546738526 ∧ x ≤ 27.4889357189107 x \geq 22.776546738526 \wedge x \leq 27.4889357189107 x ≥ 22.776546738526 ∧ x ≤ 27.4889357189107 x ≥ 29.0597320457056 ∧ x ≤ 33.7721210260903 x \geq 29.0597320457056 \wedge x \leq 33.7721210260903 x ≥ 29.0597320457056 ∧ x ≤ 33.7721210260903 x ≥ 35.3429173528852 ∧ x ≤ 40.0553063332699 x \geq 35.3429173528852 \wedge x \leq 40.0553063332699 x ≥ 35.3429173528852 ∧ x ≤ 40.0553063332699 x ≥ 41.6261026600648 ∧ x ≤ 46.3384916404494 x \geq 41.6261026600648 \wedge x \leq 46.3384916404494 x ≥ 41.6261026600648 ∧ x ≤ 46.3384916404494 x ≥ 47.9092879672443 ∧ x ≤ 52.621676947629 x \geq 47.9092879672443 \wedge x \leq 52.621676947629 x ≥ 47.9092879672443 ∧ x ≤ 52.621676947629 x ≥ 54.1924732744239 ∧ x ≤ 58.9048622548086 x \geq 54.1924732744239 \wedge x \leq 58.9048622548086 x ≥ 54.1924732744239 ∧ x ≤ 58.9048622548086 x ≥ 60.4756585816035 ∧ x ≤ 65.1880475619882 x \geq 60.4756585816035 \wedge x \leq 65.1880475619882 x ≥ 60.4756585816035 ∧ x ≤ 65.1880475619882 x ≥ 66.7588438887831 ∧ x ≤ 71.4712328691678 x \geq 66.7588438887831 \wedge x \leq 71.4712328691678 x ≥ 66.7588438887831 ∧ x ≤ 71.4712328691678 x ≥ 73.0420291959627 ∧ x ≤ 77.7544181763474 x \geq 73.0420291959627 \wedge x \leq 77.7544181763474 x ≥ 73.0420291959627 ∧ x ≤ 77.7544181763474 x ≥ 79.3252145031423 ∧ x ≤ 84.037603483527 x \geq 79.3252145031423 \wedge x \leq 84.037603483527 x ≥ 79.3252145031423 ∧ x ≤ 84.037603483527 x ≥ 85.6083998103219 ∧ x ≤ 90.3207887907066 x \geq 85.6083998103219 \wedge x \leq 90.3207887907066 x ≥ 85.6083998103219 ∧ x ≤ 90.3207887907066 x ≥ 91.8915851175014 ∧ x ≤ 96.6039740978861 x \geq 91.8915851175014 \wedge x \leq 96.6039740978861 x ≥ 91.8915851175014 ∧ x ≤ 96.6039740978861 x ≥ 98.174770424681 ∧ x ≤ 104.457955731861 x \geq 98.174770424681 \wedge x \leq 104.457955731861 x ≥ 98.174770424681 ∧ x ≤ 104.457955731861 x ≥ 255.254403104171 ∧ x ≤ 2584.745355741 x \geq 255.254403104171 \wedge x \leq 2584.745355741 x ≥ 255.254403104171 ∧ x ≤ 2584.745355741 x ≥ 39349.2333843756 x \geq 39349.2333843756 x ≥ 39349.2333843756 