Mister Exam
Other calculators
- Square Inequality Step-by-Step
- Inequality with the module Step by Step
- Logarithmic inequality online
-
How to use it?
- Inequation:
-
(|x+3|)+4*x>=6
- (x^2+10*x+25)/((x-5)(x-7))>=0
- (x-3)²-x(x-5)>13
- 10x-27≥15x+13
-
Identical expressions
- tgt≥- one
- tgt≥ minus 1
- tgt≥ minus one
-
Similar expressions
- tgt≥+1
tgt≥-1 inequation
The solution
Detail solution
Given the inequality:
$$\tan{\left(t \right)} \geq -1$$
To solve this inequality, we must first solve the corresponding equation:
$$\tan{\left(t \right)} = -1$$
Solve:
Given the equation
$$\tan{\left(t \right)} = -1$$
transform
$$\tan{\left(t \right)} + 1 = 0$$
$$\tan{\left(t \right)} + 1 = 0$$
Do replacement
$$w = \tan{\left(t \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = -1$$
We get the answer: w = -1
do backward replacement
$$\tan{\left(t \right)} = w$$
substitute w:
$$x_{1} = 21.2057504117311$$
$$x_{2} = -35.3429173528852$$
$$x_{3} = -51.0508806208341$$
$$x_{4} = 2.35619449019234$$
$$x_{5} = 43.1968989868597$$
$$x_{6} = -98.174770424681$$
$$x_{7} = -38.484510006475$$
$$x_{8} = 11.7809724509617$$
$$x_{9} = -79.3252145031423$$
$$x_{10} = 90.3207887907066$$
$$x_{11} = 30.6305283725005$$
$$x_{12} = 80.8960108299372$$
$$x_{13} = 46.3384916404494$$
$$x_{14} = -88.7499924639117$$
$$x_{15} = -7.06858347057703$$
$$x_{16} = 62.0464549083984$$
$$x_{17} = -101.316363078271$$
$$x_{18} = 36.9137136796801$$
$$x_{19} = 40.0553063332699$$
$$x_{20} = 52.621676947629$$
$$x_{21} = -66.7588438887831$$
$$x_{22} = -63.6172512351933$$
$$x_{23} = 49.4800842940392$$
$$x_{24} = 65.1880475619882$$
$$x_{25} = -16.4933614313464$$
$$x_{26} = -95.0331777710912$$
$$x_{27} = -10.2101761241668$$
$$x_{28} = -32.2013246992954$$
$$x_{29} = 58.9048622548086$$
$$x_{30} = -25.9181393921158$$
$$x_{31} = -47.9092879672443$$
$$x_{32} = -0.785398163397448$$
$$x_{33} = 96.6039740978861$$
$$x_{34} = 33.7721210260903$$
$$x_{35} = 27.4889357189107$$
$$x_{36} = 55.7632696012188$$
$$x_{37} = 87.1791961371168$$
$$x_{38} = -73.0420291959627$$
$$x_{39} = -41.6261026600648$$
$$x_{40} = 99.7455667514759$$
$$x_{41} = -91.8915851175014$$
$$x_{42} = 84.037603483527$$
$$x_{43} = 71.4712328691678$$
$$x_{44} = 77.7544181763474$$
$$x_{45} = 14.9225651045515$$
$$x_{46} = 24.3473430653209$$
$$x_{47} = -82.4668071567321$$
$$x_{48} = 93.4623814442964$$
$$x_{49} = -76.1836218495525$$
$$x_{50} = 68.329640215578$$
$$x_{51} = -60.4756585816035$$
$$x_{52} = 74.6128255227576$$
$$x_{53} = -19.6349540849362$$
$$x_{54} = -13.3517687777566$$
$$x_{55} = -29.0597320457056$$
$$x_{56} = 5.49778714378214$$
$$x_{57} = -69.9004365423729$$
$$x_{58} = -22.776546738526$$
$$x_{59} = -57.3340659280137$$
$$x_{60} = -44.7676953136546$$
$$x_{61} = 18.0641577581413$$
$$x_{62} = 8.63937979737193$$
$$x_{63} = -3.92699081698724$$
$$x_{64} = -54.1924732744239$$
$$x_{65} = -85.6083998103219$$
$$x_{1} = 21.2057504117311$$
$$x_{2} = -35.3429173528852$$
$$x_{3} = -51.0508806208341$$
$$x_{4} = 2.35619449019234$$
$$x_{5} = 43.1968989868597$$
$$x_{6} = -98.174770424681$$
$$x_{7} = -38.484510006475$$
$$x_{8} = 11.7809724509617$$
$$x_{9} = -79.3252145031423$$
$$x_{10} = 90.3207887907066$$
$$x_{11} = 30.6305283725005$$
$$x_{12} = 80.8960108299372$$
$$x_{13} = 46.3384916404494$$
$$x_{14} = -88.7499924639117$$
$$x_{15} = -7.06858347057703$$
$$x_{16} = 62.0464549083984$$
$$x_{17} = -101.316363078271$$
$$x_{18} = 36.9137136796801$$
$$x_{19} = 40.0553063332699$$
$$x_{20} = 52.621676947629$$
$$x_{21} = -66.7588438887831$$
$$x_{22} = -63.6172512351933$$
$$x_{23} = 49.4800842940392$$
$$x_{24} = 65.1880475619882$$
$$x_{25} = -16.4933614313464$$
$$x_{26} = -95.0331777710912$$
$$x_{27} = -10.2101761241668$$
$$x_{28} = -32.2013246992954$$
$$x_{29} = 58.9048622548086$$
$$x_{30} = -25.9181393921158$$
$$x_{31} = -47.9092879672443$$
$$x_{32} = -0.785398163397448$$
$$x_{33} = 96.6039740978861$$
$$x_{34} = 33.7721210260903$$
$$x_{35} = 27.4889357189107$$
$$x_{36} = 55.7632696012188$$
$$x_{37} = 87.1791961371168$$
$$x_{38} = -73.0420291959627$$
$$x_{39} = -41.6261026600648$$
$$x_{40} = 99.7455667514759$$
$$x_{41} = -91.8915851175014$$
$$x_{42} = 84.037603483527$$
$$x_{43} = 71.4712328691678$$
$$x_{44} = 77.7544181763474$$
$$x_{45} = 14.9225651045515$$
$$x_{46} = 24.3473430653209$$
$$x_{47} = -82.4668071567321$$
$$x_{48} = 93.4623814442964$$
$$x_{49} = -76.1836218495525$$
$$x_{50} = 68.329640215578$$
$$x_{51} = -60.4756585816035$$
$$x_{52} = 74.6128255227576$$
$$x_{53} = -19.6349540849362$$
$$x_{54} = -13.3517687777566$$
$$x_{55} = -29.0597320457056$$
$$x_{56} = 5.49778714378214$$
$$x_{57} = -69.9004365423729$$
$$x_{58} = -22.776546738526$$
$$x_{59} = -57.3340659280137$$
$$x_{60} = -44.7676953136546$$
$$x_{61} = 18.0641577581413$$
$$x_{62} = 8.63937979737193$$
$$x_{63} = -3.92699081698724$$
$$x_{64} = -54.1924732744239$$
$$x_{65} = -85.6083998103219$$
This roots
$$x_{17} = -101.316363078271$$
$$x_{6} = -98.174770424681$$
$$x_{26} = -95.0331777710912$$
$$x_{41} = -91.8915851175014$$
$$x_{14} = -88.7499924639117$$
$$x_{65} = -85.6083998103219$$
$$x_{47} = -82.4668071567321$$
$$x_{9} = -79.3252145031423$$
$$x_{49} = -76.1836218495525$$
$$x_{38} = -73.0420291959627$$
$$x_{57} = -69.9004365423729$$
$$x_{21} = -66.7588438887831$$
$$x_{22} = -63.6172512351933$$
$$x_{51} = -60.4756585816035$$
$$x_{59} = -57.3340659280137$$
$$x_{64} = -54.1924732744239$$
$$x_{3} = -51.0508806208341$$
$$x_{31} = -47.9092879672443$$
$$x_{60} = -44.7676953136546$$
$$x_{39} = -41.6261026600648$$
$$x_{7} = -38.484510006475$$
$$x_{2} = -35.3429173528852$$
$$x_{28} = -32.2013246992954$$
$$x_{55} = -29.0597320457056$$
$$x_{30} = -25.9181393921158$$
$$x_{58} = -22.776546738526$$
$$x_{53} = -19.6349540849362$$
$$x_{25} = -16.4933614313464$$
$$x_{54} = -13.3517687777566$$
$$x_{27} = -10.2101761241668$$
$$x_{15} = -7.06858347057703$$
$$x_{63} = -3.92699081698724$$
$$x_{32} = -0.785398163397448$$
$$x_{4} = 2.35619449019234$$
$$x_{56} = 5.49778714378214$$
$$x_{62} = 8.63937979737193$$
$$x_{8} = 11.7809724509617$$
$$x_{45} = 14.9225651045515$$
$$x_{61} = 18.0641577581413$$
$$x_{1} = 21.2057504117311$$
$$x_{46} = 24.3473430653209$$
$$x_{35} = 27.4889357189107$$
$$x_{11} = 30.6305283725005$$
$$x_{34} = 33.7721210260903$$
$$x_{18} = 36.9137136796801$$
$$x_{19} = 40.0553063332699$$
$$x_{5} = 43.1968989868597$$
$$x_{13} = 46.3384916404494$$
$$x_{23} = 49.4800842940392$$
$$x_{20} = 52.621676947629$$
$$x_{36} = 55.7632696012188$$
$$x_{29} = 58.9048622548086$$
$$x_{16} = 62.0464549083984$$
$$x_{24} = 65.1880475619882$$
$$x_{50} = 68.329640215578$$
$$x_{43} = 71.4712328691678$$
$$x_{52} = 74.6128255227576$$
$$x_{44} = 77.7544181763474$$
$$x_{12} = 80.8960108299372$$
$$x_{42} = 84.037603483527$$
$$x_{37} = 87.1791961371168$$
$$x_{10} = 90.3207887907066$$
$$x_{48} = 93.4623814442964$$
$$x_{33} = 96.6039740978861$$
$$x_{40} = 99.7455667514759$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} \leq x_{17}$$
For example, let's take the point
$$x_{0} = x_{17} - \frac{1}{10}$$
=
$$-101.316363078271 + - \frac{1}{10}$$
=
$$-101.416363078271$$
substitute to the expression
$$\tan{\left(t \right)} \geq -1$$
$$\tan{\left(t \right)} \geq -1$$
Then
$$x \leq -101.316363078271$$
no execute
one of the solutions of our inequality is:
$$x \geq -101.316363078271 \wedge x \leq -98.174770424681$$
Other solutions will get with the changeover to the next point
etc.
The answer:
$$x \geq -101.316363078271 \wedge x \leq -98.174770424681$$
$$x \geq -95.0331777710912 \wedge x \leq -91.8915851175014$$
$$x \geq -88.7499924639117 \wedge x \leq -85.6083998103219$$
$$x \geq -82.4668071567321 \wedge x \leq -79.3252145031423$$
$$x \geq -76.1836218495525 \wedge x \leq -73.0420291959627$$
$$x \geq -69.9004365423729 \wedge x \leq -66.7588438887831$$
$$x \geq -63.6172512351933 \wedge x \leq -60.4756585816035$$
$$x \geq -57.3340659280137 \wedge x \leq -54.1924732744239$$
$$x \geq -51.0508806208341 \wedge x \leq -47.9092879672443$$
$$x \geq -44.7676953136546 \wedge x \leq -41.6261026600648$$
$$x \geq -38.484510006475 \wedge x \leq -35.3429173528852$$
$$x \geq -32.2013246992954 \wedge x \leq -29.0597320457056$$
$$x \geq -25.9181393921158 \wedge x \leq -22.776546738526$$
$$x \geq -19.6349540849362 \wedge x \leq -16.4933614313464$$
$$x \geq -13.3517687777566 \wedge x \leq -10.2101761241668$$
$$x \geq -7.06858347057703 \wedge x \leq -3.92699081698724$$
$$x \geq -0.785398163397448 \wedge x \leq 2.35619449019234$$
$$x \geq 5.49778714378214 \wedge x \leq 8.63937979737193$$
$$x \geq 11.7809724509617 \wedge x \leq 14.9225651045515$$
$$x \geq 18.0641577581413 \wedge x \leq 21.2057504117311$$
$$x \geq 24.3473430653209 \wedge x \leq 27.4889357189107$$
$$x \geq 30.6305283725005 \wedge x \leq 33.7721210260903$$
$$x \geq 36.9137136796801 \wedge x \leq 40.0553063332699$$
$$x \geq 43.1968989868597 \wedge x \leq 46.3384916404494$$
$$x \geq 49.4800842940392 \wedge x \leq 52.621676947629$$
$$x \geq 55.7632696012188 \wedge x \leq 58.9048622548086$$
$$x \geq 62.0464549083984 \wedge x \leq 65.1880475619882$$
$$x \geq 68.329640215578 \wedge x \leq 71.4712328691678$$
$$x \geq 74.6128255227576 \wedge x \leq 77.7544181763474$$
$$x \geq 80.8960108299372 \wedge x \leq 84.037603483527$$
$$x \geq 87.1791961371168 \wedge x \leq 90.3207887907066$$
$$x \geq 93.4623814442964 \wedge x \leq 96.6039740978861$$
$$x \geq 99.7455667514759$$
$$\tan{\left(t \right)} \geq -1$$
To solve this inequality, we must first solve the corresponding equation:
$$\tan{\left(t \right)} = -1$$
Solve:
Given the equation
$$\tan{\left(t \right)} = -1$$
transform
$$\tan{\left(t \right)} + 1 = 0$$
$$\tan{\left(t \right)} + 1 = 0$$
Do replacement
$$w = \tan{\left(t \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = -1$$
We get the answer: w = -1
do backward replacement
$$\tan{\left(t \right)} = w$$
substitute w:
$$x_{1} = 21.2057504117311$$
$$x_{2} = -35.3429173528852$$
$$x_{3} = -51.0508806208341$$
$$x_{4} = 2.35619449019234$$
$$x_{5} = 43.1968989868597$$
$$x_{6} = -98.174770424681$$
$$x_{7} = -38.484510006475$$
$$x_{8} = 11.7809724509617$$
$$x_{9} = -79.3252145031423$$
$$x_{10} = 90.3207887907066$$
$$x_{11} = 30.6305283725005$$
$$x_{12} = 80.8960108299372$$
$$x_{13} = 46.3384916404494$$
$$x_{14} = -88.7499924639117$$
$$x_{15} = -7.06858347057703$$
$$x_{16} = 62.0464549083984$$
$$x_{17} = -101.316363078271$$
$$x_{18} = 36.9137136796801$$
$$x_{19} = 40.0553063332699$$
$$x_{20} = 52.621676947629$$
$$x_{21} = -66.7588438887831$$
$$x_{22} = -63.6172512351933$$
$$x_{23} = 49.4800842940392$$
$$x_{24} = 65.1880475619882$$
$$x_{25} = -16.4933614313464$$
$$x_{26} = -95.0331777710912$$
$$x_{27} = -10.2101761241668$$
$$x_{28} = -32.2013246992954$$
$$x_{29} = 58.9048622548086$$
$$x_{30} = -25.9181393921158$$
$$x_{31} = -47.9092879672443$$
$$x_{32} = -0.785398163397448$$
$$x_{33} = 96.6039740978861$$
$$x_{34} = 33.7721210260903$$
$$x_{35} = 27.4889357189107$$
$$x_{36} = 55.7632696012188$$
$$x_{37} = 87.1791961371168$$
$$x_{38} = -73.0420291959627$$
$$x_{39} = -41.6261026600648$$
$$x_{40} = 99.7455667514759$$
$$x_{41} = -91.8915851175014$$
$$x_{42} = 84.037603483527$$
$$x_{43} = 71.4712328691678$$
$$x_{44} = 77.7544181763474$$
$$x_{45} = 14.9225651045515$$
$$x_{46} = 24.3473430653209$$
$$x_{47} = -82.4668071567321$$
$$x_{48} = 93.4623814442964$$
$$x_{49} = -76.1836218495525$$
$$x_{50} = 68.329640215578$$
$$x_{51} = -60.4756585816035$$
$$x_{52} = 74.6128255227576$$
$$x_{53} = -19.6349540849362$$
$$x_{54} = -13.3517687777566$$
$$x_{55} = -29.0597320457056$$
$$x_{56} = 5.49778714378214$$
$$x_{57} = -69.9004365423729$$
$$x_{58} = -22.776546738526$$
$$x_{59} = -57.3340659280137$$
$$x_{60} = -44.7676953136546$$
$$x_{61} = 18.0641577581413$$
$$x_{62} = 8.63937979737193$$
$$x_{63} = -3.92699081698724$$
$$x_{64} = -54.1924732744239$$
$$x_{65} = -85.6083998103219$$
$$x_{1} = 21.2057504117311$$
$$x_{2} = -35.3429173528852$$
$$x_{3} = -51.0508806208341$$
$$x_{4} = 2.35619449019234$$
$$x_{5} = 43.1968989868597$$
$$x_{6} = -98.174770424681$$
$$x_{7} = -38.484510006475$$
$$x_{8} = 11.7809724509617$$
$$x_{9} = -79.3252145031423$$
$$x_{10} = 90.3207887907066$$
$$x_{11} = 30.6305283725005$$
$$x_{12} = 80.8960108299372$$
$$x_{13} = 46.3384916404494$$
$$x_{14} = -88.7499924639117$$
$$x_{15} = -7.06858347057703$$
$$x_{16} = 62.0464549083984$$
$$x_{17} = -101.316363078271$$
$$x_{18} = 36.9137136796801$$
$$x_{19} = 40.0553063332699$$
$$x_{20} = 52.621676947629$$
$$x_{21} = -66.7588438887831$$
$$x_{22} = -63.6172512351933$$
$$x_{23} = 49.4800842940392$$
$$x_{24} = 65.1880475619882$$
$$x_{25} = -16.4933614313464$$
$$x_{26} = -95.0331777710912$$
$$x_{27} = -10.2101761241668$$
$$x_{28} = -32.2013246992954$$
$$x_{29} = 58.9048622548086$$
$$x_{30} = -25.9181393921158$$
$$x_{31} = -47.9092879672443$$
$$x_{32} = -0.785398163397448$$
$$x_{33} = 96.6039740978861$$
$$x_{34} = 33.7721210260903$$
$$x_{35} = 27.4889357189107$$
$$x_{36} = 55.7632696012188$$
$$x_{37} = 87.1791961371168$$
$$x_{38} = -73.0420291959627$$
$$x_{39} = -41.6261026600648$$
$$x_{40} = 99.7455667514759$$
$$x_{41} = -91.8915851175014$$
$$x_{42} = 84.037603483527$$
$$x_{43} = 71.4712328691678$$
$$x_{44} = 77.7544181763474$$
$$x_{45} = 14.9225651045515$$
$$x_{46} = 24.3473430653209$$
$$x_{47} = -82.4668071567321$$
$$x_{48} = 93.4623814442964$$
$$x_{49} = -76.1836218495525$$
$$x_{50} = 68.329640215578$$
$$x_{51} = -60.4756585816035$$
$$x_{52} = 74.6128255227576$$
$$x_{53} = -19.6349540849362$$
$$x_{54} = -13.3517687777566$$
$$x_{55} = -29.0597320457056$$
$$x_{56} = 5.49778714378214$$
$$x_{57} = -69.9004365423729$$
$$x_{58} = -22.776546738526$$
$$x_{59} = -57.3340659280137$$
$$x_{60} = -44.7676953136546$$
$$x_{61} = 18.0641577581413$$
$$x_{62} = 8.63937979737193$$
$$x_{63} = -3.92699081698724$$
$$x_{64} = -54.1924732744239$$
$$x_{65} = -85.6083998103219$$
This roots
$$x_{17} = -101.316363078271$$
$$x_{6} = -98.174770424681$$
$$x_{26} = -95.0331777710912$$
$$x_{41} = -91.8915851175014$$
$$x_{14} = -88.7499924639117$$
$$x_{65} = -85.6083998103219$$
$$x_{47} = -82.4668071567321$$
$$x_{9} = -79.3252145031423$$
$$x_{49} = -76.1836218495525$$
$$x_{38} = -73.0420291959627$$
$$x_{57} = -69.9004365423729$$
$$x_{21} = -66.7588438887831$$
$$x_{22} = -63.6172512351933$$
$$x_{51} = -60.4756585816035$$
$$x_{59} = -57.3340659280137$$
$$x_{64} = -54.1924732744239$$
$$x_{3} = -51.0508806208341$$
$$x_{31} = -47.9092879672443$$
$$x_{60} = -44.7676953136546$$
$$x_{39} = -41.6261026600648$$
$$x_{7} = -38.484510006475$$
$$x_{2} = -35.3429173528852$$
$$x_{28} = -32.2013246992954$$
$$x_{55} = -29.0597320457056$$
$$x_{30} = -25.9181393921158$$
$$x_{58} = -22.776546738526$$
$$x_{53} = -19.6349540849362$$
$$x_{25} = -16.4933614313464$$
$$x_{54} = -13.3517687777566$$
$$x_{27} = -10.2101761241668$$
$$x_{15} = -7.06858347057703$$
$$x_{63} = -3.92699081698724$$
$$x_{32} = -0.785398163397448$$
$$x_{4} = 2.35619449019234$$
$$x_{56} = 5.49778714378214$$
$$x_{62} = 8.63937979737193$$
$$x_{8} = 11.7809724509617$$
$$x_{45} = 14.9225651045515$$
$$x_{61} = 18.0641577581413$$
$$x_{1} = 21.2057504117311$$
$$x_{46} = 24.3473430653209$$
$$x_{35} = 27.4889357189107$$
$$x_{11} = 30.6305283725005$$
$$x_{34} = 33.7721210260903$$
$$x_{18} = 36.9137136796801$$
$$x_{19} = 40.0553063332699$$
$$x_{5} = 43.1968989868597$$
$$x_{13} = 46.3384916404494$$
$$x_{23} = 49.4800842940392$$
$$x_{20} = 52.621676947629$$
$$x_{36} = 55.7632696012188$$
$$x_{29} = 58.9048622548086$$
$$x_{16} = 62.0464549083984$$
$$x_{24} = 65.1880475619882$$
$$x_{50} = 68.329640215578$$
$$x_{43} = 71.4712328691678$$
$$x_{52} = 74.6128255227576$$
$$x_{44} = 77.7544181763474$$
$$x_{12} = 80.8960108299372$$
$$x_{42} = 84.037603483527$$
$$x_{37} = 87.1791961371168$$
$$x_{10} = 90.3207887907066$$
$$x_{48} = 93.4623814442964$$
$$x_{33} = 96.6039740978861$$
$$x_{40} = 99.7455667514759$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} \leq x_{17}$$
For example, let's take the point
$$x_{0} = x_{17} - \frac{1}{10}$$
=
$$-101.316363078271 + - \frac{1}{10}$$
=
$$-101.416363078271$$
substitute to the expression
$$\tan{\left(t \right)} \geq -1$$
$$\tan{\left(t \right)} \geq -1$$
tan(t) >= -1
Then
$$x \leq -101.316363078271$$
no execute
one of the solutions of our inequality is:
$$x \geq -101.316363078271 \wedge x \leq -98.174770424681$$
_____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____
/ \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
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x17 x6 x26 x41 x14 x65 x47 x9 x49 x38 x57 x21 x22 x51 x59 x64 x3 x31 x60 x39 x7 x2 x28 x55 x30 x58 x53 x25 x54 x27 x15 x63 x32 x4 x56 x62 x8 x45 x61 x1 x46 x35 x11 x34 x18 x19 x5 x13 x23 x20 x36 x29 x16 x24 x50 x43 x52 x44 x12 x42 x37 x10 x48 x33 x40Other solutions will get with the changeover to the next point
etc.
The answer:
$$x \geq -101.316363078271 \wedge x \leq -98.174770424681$$
$$x \geq -95.0331777710912 \wedge x \leq -91.8915851175014$$
$$x \geq -88.7499924639117 \wedge x \leq -85.6083998103219$$
$$x \geq -82.4668071567321 \wedge x \leq -79.3252145031423$$
$$x \geq -76.1836218495525 \wedge x \leq -73.0420291959627$$
$$x \geq -69.9004365423729 \wedge x \leq -66.7588438887831$$
$$x \geq -63.6172512351933 \wedge x \leq -60.4756585816035$$
$$x \geq -57.3340659280137 \wedge x \leq -54.1924732744239$$
$$x \geq -51.0508806208341 \wedge x \leq -47.9092879672443$$
$$x \geq -44.7676953136546 \wedge x \leq -41.6261026600648$$
$$x \geq -38.484510006475 \wedge x \leq -35.3429173528852$$
$$x \geq -32.2013246992954 \wedge x \leq -29.0597320457056$$
$$x \geq -25.9181393921158 \wedge x \leq -22.776546738526$$
$$x \geq -19.6349540849362 \wedge x \leq -16.4933614313464$$
$$x \geq -13.3517687777566 \wedge x \leq -10.2101761241668$$
$$x \geq -7.06858347057703 \wedge x \leq -3.92699081698724$$
$$x \geq -0.785398163397448 \wedge x \leq 2.35619449019234$$
$$x \geq 5.49778714378214 \wedge x \leq 8.63937979737193$$
$$x \geq 11.7809724509617 \wedge x \leq 14.9225651045515$$
$$x \geq 18.0641577581413 \wedge x \leq 21.2057504117311$$
$$x \geq 24.3473430653209 \wedge x \leq 27.4889357189107$$
$$x \geq 30.6305283725005 \wedge x \leq 33.7721210260903$$
$$x \geq 36.9137136796801 \wedge x \leq 40.0553063332699$$
$$x \geq 43.1968989868597 \wedge x \leq 46.3384916404494$$
$$x \geq 49.4800842940392 \wedge x \leq 52.621676947629$$
$$x \geq 55.7632696012188 \wedge x \leq 58.9048622548086$$
$$x \geq 62.0464549083984 \wedge x \leq 65.1880475619882$$
$$x \geq 68.329640215578 \wedge x \leq 71.4712328691678$$
$$x \geq 74.6128255227576 \wedge x \leq 77.7544181763474$$
$$x \geq 80.8960108299372 \wedge x \leq 84.037603483527$$
$$x \geq 87.1791961371168 \wedge x \leq 90.3207887907066$$
$$x \geq 93.4623814442964 \wedge x \leq 96.6039740978861$$
$$x \geq 99.7455667514759$$
Rapid solution
[src]
/ / pi\ /3*pi \\ Or|And|0 <= t, t < --|, And|---- <= t, t <= pi|| \ \ 2 / \ 4 //
$$\left(0 \leq t \wedge t < \frac{\pi}{2}\right) \vee \left(\frac{3 \pi}{4} \leq t \wedge t \leq \pi\right)$$
((0 <= t)∧(t < pi/2))∨((t <= pi)∧(3*pi/4 <= t))
Rapid solution 2
[src]
pi 3*pi
[0, --) U [----, pi]
2 4
$$x\ in\ \left[0, \frac{\pi}{2}\right) \cup \left[\frac{3 \pi}{4}, \pi\right]$$
x in Union(Interval.Ropen(0, pi/2), Interval(3*pi/4, pi))