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}:
- tan(x)*cot(x)
- Derivada de:
-
tan(x)*cot(x)
-
Expresiones idénticas
- tan(x)*cot(x)<= uno
- tangente de (x) multiplicar por cotangente de (x) menos o igual a 1
- tangente de (x) multiplicar por cotangente de (x) menos o igual a uno
- tan(x)cot(x)<=1
- tanxcotx<=1
-
Expresiones con funciones
- Tangente tan
- tan(x)>sin(x)
- tan(x)>=1/7
- tan(x)>=3
- tan(x)>=(sqrt(3))
- tan(x)<-1/3
tan(x)*cot(x)<=1 desigualdades
Solución
Ha introducido
[src]
tan(x)*cot(x) <= 1
$$\tan{\left(x \right)} \cot{\left(x \right)} \leq 1$$
tan(x)*cot(x) <= 1
Solución detallada
Se da la desigualdad:
$$\tan{\left(x \right)} \cot{\left(x \right)} \leq 1$$
Para resolver esta desigualdad primero hay que resolver la ecuación correspondiente:
$$\tan{\left(x \right)} \cot{\left(x \right)} = 1$$
Resolvemos:
$$x_{1} = 30.25$$
$$x_{2} = -8$$
$$x_{3} = 60$$
$$x_{4} = -61.75$$
$$x_{5} = 16$$
$$x_{6} = 88$$
$$x_{7} = 58$$
$$x_{8} = -88$$
$$x_{9} = -44$$
$$x_{10} = 48$$
$$x_{11} = 84$$
$$x_{12} = -24$$
$$x_{13} = -98$$
$$x_{14} = 72$$
$$x_{15} = 42$$
$$x_{16} = 82$$
$$x_{17} = -58$$
$$x_{18} = -70$$
$$x_{19} = 24$$
$$x_{20} = -6$$
$$x_{21} = 92$$
$$x_{22} = -21.75$$
$$x_{23} = 10$$
$$x_{24} = 94$$
$$x_{25} = -26$$
$$x_{26} = -50$$
$$x_{27} = 46$$
$$x_{28} = 28$$
$$x_{29} = 26$$
$$x_{30} = 70$$
$$x_{31} = 66$$
$$x_{32} = -92$$
$$x_{33} = 40$$
$$x_{34} = 64$$
$$x_{35} = -76$$
$$x_{36} = 54$$
$$x_{37} = -32$$
$$x_{38} = 98$$
$$x_{39} = -10$$
$$x_{40} = 86$$
$$x_{41} = -34$$
$$x_{42} = -12$$
$$x_{43} = -89.75$$
$$x_{44} = 80.25$$
$$x_{45} = 14$$
$$x_{46} = -16$$
$$x_{47} = -60$$
$$x_{48} = -94$$
$$x_{49} = -48$$
$$x_{50} = 6$$
$$x_{51} = -66$$
$$x_{52} = -74$$
$$x_{53} = -96$$
$$x_{54} = 100$$
$$x_{55} = 2.25$$
$$x_{56} = 32$$
$$x_{57} = -40$$
$$x_{58} = -38$$
$$x_{59} = -100$$
$$x_{60} = 90.25$$
$$x_{61} = 74$$
$$x_{62} = -82$$
$$x_{63} = -56$$
$$x_{64} = -64$$
$$x_{65} = 76$$
$$x_{66} = -1.75$$
$$x_{67} = 8$$
$$x_{68} = 38$$
$$x_{69} = 62.25$$
$$x_{70} = -46$$
$$x_{71} = -28$$
$$x_{72} = -36$$
$$x_{73} = 34$$
$$x_{74} = -52$$
$$x_{75} = 68$$
$$x_{76} = 36$$
$$x_{77} = 56$$
$$x_{78} = 12$$
$$x_{79} = 4$$
$$x_{80} = -17.75$$
$$x_{81} = -86$$
$$x_{82} = 52$$
$$x_{83} = 50$$
$$x_{84} = 44$$
$$x_{85} = -72$$
$$x_{86} = 22.25$$
$$x_{87} = -20$$
$$x_{88} = -29.75$$
$$x_{89} = 96$$
$$x_{90} = -14$$
$$x_{91} = -4$$
$$x_{92} = -42$$
$$x_{93} = 20$$
$$x_{94} = -68$$
$$x_{95} = -54$$
$$x_{96} = -79.75$$
$$x_{97} = -84$$
$$x_{1} = 30.25$$
$$x_{2} = -8$$
$$x_{3} = 60$$
$$x_{4} = -61.75$$
$$x_{5} = 16$$
$$x_{6} = 88$$
$$x_{7} = 58$$
$$x_{8} = -88$$
$$x_{9} = -44$$
$$x_{10} = 48$$
$$x_{11} = 84$$
$$x_{12} = -24$$
$$x_{13} = -98$$
$$x_{14} = 72$$
$$x_{15} = 42$$
$$x_{16} = 82$$
$$x_{17} = -58$$
$$x_{18} = -70$$
$$x_{19} = 24$$
$$x_{20} = -6$$
$$x_{21} = 92$$
$$x_{22} = -21.75$$
$$x_{23} = 10$$
$$x_{24} = 94$$
$$x_{25} = -26$$
$$x_{26} = -50$$
$$x_{27} = 46$$
$$x_{28} = 28$$
$$x_{29} = 26$$
$$x_{30} = 70$$
$$x_{31} = 66$$
$$x_{32} = -92$$
$$x_{33} = 40$$
$$x_{34} = 64$$
$$x_{35} = -76$$
$$x_{36} = 54$$
$$x_{37} = -32$$
$$x_{38} = 98$$
$$x_{39} = -10$$
$$x_{40} = 86$$
$$x_{41} = -34$$
$$x_{42} = -12$$
$$x_{43} = -89.75$$
$$x_{44} = 80.25$$
$$x_{45} = 14$$
$$x_{46} = -16$$
$$x_{47} = -60$$
$$x_{48} = -94$$
$$x_{49} = -48$$
$$x_{50} = 6$$
$$x_{51} = -66$$
$$x_{52} = -74$$
$$x_{53} = -96$$
$$x_{54} = 100$$
$$x_{55} = 2.25$$
$$x_{56} = 32$$
$$x_{57} = -40$$
$$x_{58} = -38$$
$$x_{59} = -100$$
$$x_{60} = 90.25$$
$$x_{61} = 74$$
$$x_{62} = -82$$
$$x_{63} = -56$$
$$x_{64} = -64$$
$$x_{65} = 76$$
$$x_{66} = -1.75$$
$$x_{67} = 8$$
$$x_{68} = 38$$
$$x_{69} = 62.25$$
$$x_{70} = -46$$
$$x_{71} = -28$$
$$x_{72} = -36$$
$$x_{73} = 34$$
$$x_{74} = -52$$
$$x_{75} = 68$$
$$x_{76} = 36$$
$$x_{77} = 56$$
$$x_{78} = 12$$
$$x_{79} = 4$$
$$x_{80} = -17.75$$
$$x_{81} = -86$$
$$x_{82} = 52$$
$$x_{83} = 50$$
$$x_{84} = 44$$
$$x_{85} = -72$$
$$x_{86} = 22.25$$
$$x_{87} = -20$$
$$x_{88} = -29.75$$
$$x_{89} = 96$$
$$x_{90} = -14$$
$$x_{91} = -4$$
$$x_{92} = -42$$
$$x_{93} = 20$$
$$x_{94} = -68$$
$$x_{95} = -54$$
$$x_{96} = -79.75$$
$$x_{97} = -84$$
Las raíces dadas
$$x_{59} = -100$$
$$x_{13} = -98$$
$$x_{53} = -96$$
$$x_{48} = -94$$
$$x_{32} = -92$$
$$x_{43} = -89.75$$
$$x_{8} = -88$$
$$x_{81} = -86$$
$$x_{97} = -84$$
$$x_{62} = -82$$
$$x_{96} = -79.75$$
$$x_{35} = -76$$
$$x_{52} = -74$$
$$x_{85} = -72$$
$$x_{18} = -70$$
$$x_{94} = -68$$
$$x_{51} = -66$$
$$x_{64} = -64$$
$$x_{4} = -61.75$$
$$x_{47} = -60$$
$$x_{17} = -58$$
$$x_{63} = -56$$
$$x_{95} = -54$$
$$x_{74} = -52$$
$$x_{26} = -50$$
$$x_{49} = -48$$
$$x_{70} = -46$$
$$x_{9} = -44$$
$$x_{92} = -42$$
$$x_{57} = -40$$
$$x_{58} = -38$$
$$x_{72} = -36$$
$$x_{41} = -34$$
$$x_{37} = -32$$
$$x_{88} = -29.75$$
$$x_{71} = -28$$
$$x_{25} = -26$$
$$x_{12} = -24$$
$$x_{22} = -21.75$$
$$x_{87} = -20$$
$$x_{80} = -17.75$$
$$x_{46} = -16$$
$$x_{90} = -14$$
$$x_{42} = -12$$
$$x_{39} = -10$$
$$x_{2} = -8$$
$$x_{20} = -6$$
$$x_{91} = -4$$
$$x_{66} = -1.75$$
$$x_{55} = 2.25$$
$$x_{79} = 4$$
$$x_{50} = 6$$
$$x_{67} = 8$$
$$x_{23} = 10$$
$$x_{78} = 12$$
$$x_{45} = 14$$
$$x_{5} = 16$$
$$x_{93} = 20$$
$$x_{86} = 22.25$$
$$x_{19} = 24$$
$$x_{29} = 26$$
$$x_{28} = 28$$
$$x_{1} = 30.25$$
$$x_{56} = 32$$
$$x_{73} = 34$$
$$x_{76} = 36$$
$$x_{68} = 38$$
$$x_{33} = 40$$
$$x_{15} = 42$$
$$x_{84} = 44$$
$$x_{27} = 46$$
$$x_{10} = 48$$
$$x_{83} = 50$$
$$x_{82} = 52$$
$$x_{36} = 54$$
$$x_{77} = 56$$
$$x_{7} = 58$$
$$x_{3} = 60$$
$$x_{69} = 62.25$$
$$x_{34} = 64$$
$$x_{31} = 66$$
$$x_{75} = 68$$
$$x_{30} = 70$$
$$x_{14} = 72$$
$$x_{61} = 74$$
$$x_{65} = 76$$
$$x_{44} = 80.25$$
$$x_{16} = 82$$
$$x_{11} = 84$$
$$x_{40} = 86$$
$$x_{6} = 88$$
$$x_{60} = 90.25$$
$$x_{21} = 92$$
$$x_{24} = 94$$
$$x_{89} = 96$$
$$x_{38} = 98$$
$$x_{54} = 100$$
son puntos de cambio del signo de desigualdad en las soluciones.
Primero definámonos con el signo hasta el punto extremo izquierdo:
$$x_{0} \leq x_{59}$$
Consideremos, por ejemplo, el punto
$$x_{0} = x_{59} - \frac{1}{10}$$
=
$$-100 + - \frac{1}{10}$$
=
$$-100.1$$
lo sustituimos en la expresión
$$\tan{\left(x \right)} \cot{\left(x \right)} \leq 1$$
$$\tan{\left(-100.1 \right)} \cot{\left(-100.1 \right)} \leq 1$$
significa que una de las soluciones de nuestra ecuación será con:
$$x \leq -100$$
Recibiremos otras soluciones de la desigualdad pasando al polo siguiente etc.
etc.
Respuesta:
$$x \leq -100$$
$$x \geq -98 \wedge x \leq -96$$
$$x \geq -94 \wedge x \leq -92$$
$$x \geq -89.75 \wedge x \leq -88$$
$$x \geq -86 \wedge x \leq -84$$
$$x \geq -82 \wedge x \leq -79.75$$
$$x \geq -76 \wedge x \leq -74$$
$$x \geq -72 \wedge x \leq -70$$
$$x \geq -68 \wedge x \leq -66$$
$$x \geq -64 \wedge x \leq -61.75$$
$$x \geq -60 \wedge x \leq -58$$
$$x \geq -56 \wedge x \leq -54$$
$$x \geq -52 \wedge x \leq -50$$
$$x \geq -48 \wedge x \leq -46$$
$$x \geq -44 \wedge x \leq -42$$
$$x \geq -40 \wedge x \leq -38$$
$$x \geq -36 \wedge x \leq -34$$
$$x \geq -32 \wedge x \leq -29.75$$
$$x \geq -28 \wedge x \leq -26$$
$$x \geq -24 \wedge x \leq -21.75$$
$$x \geq -20 \wedge x \leq -17.75$$
$$x \geq -16 \wedge x \leq -14$$
$$x \geq -12 \wedge x \leq -10$$
$$x \geq -8 \wedge x \leq -6$$
$$x \geq -4 \wedge x \leq -1.75$$
$$x \geq 2.25 \wedge x \leq 4$$
$$x \geq 6 \wedge x \leq 8$$
$$x \geq 10 \wedge x \leq 12$$
$$x \geq 14 \wedge x \leq 16$$
$$x \geq 20 \wedge x \leq 22.25$$
$$x \geq 24 \wedge x \leq 26$$
$$x \geq 28 \wedge x \leq 30.25$$
$$x \geq 32 \wedge x \leq 34$$
$$x \geq 36 \wedge x \leq 38$$
$$x \geq 40 \wedge x \leq 42$$
$$x \geq 44 \wedge x \leq 46$$
$$x \geq 48 \wedge x \leq 50$$
$$x \geq 52 \wedge x \leq 54$$
$$x \geq 56 \wedge x \leq 58$$
$$x \geq 60 \wedge x \leq 62.25$$
$$x \geq 64 \wedge x \leq 66$$
$$x \geq 68 \wedge x \leq 70$$
$$x \geq 72 \wedge x \leq 74$$
$$x \geq 76 \wedge x \leq 80.25$$
$$x \geq 82 \wedge x \leq 84$$
$$x \geq 86 \wedge x \leq 88$$
$$x \geq 90.25 \wedge x \leq 92$$
$$x \geq 94 \wedge x \leq 96$$
$$x \geq 98 \wedge x \leq 100$$
$$\tan{\left(x \right)} \cot{\left(x \right)} \leq 1$$
Para resolver esta desigualdad primero hay que resolver la ecuación correspondiente:
$$\tan{\left(x \right)} \cot{\left(x \right)} = 1$$
Resolvemos:
$$x_{1} = 30.25$$
$$x_{2} = -8$$
$$x_{3} = 60$$
$$x_{4} = -61.75$$
$$x_{5} = 16$$
$$x_{6} = 88$$
$$x_{7} = 58$$
$$x_{8} = -88$$
$$x_{9} = -44$$
$$x_{10} = 48$$
$$x_{11} = 84$$
$$x_{12} = -24$$
$$x_{13} = -98$$
$$x_{14} = 72$$
$$x_{15} = 42$$
$$x_{16} = 82$$
$$x_{17} = -58$$
$$x_{18} = -70$$
$$x_{19} = 24$$
$$x_{20} = -6$$
$$x_{21} = 92$$
$$x_{22} = -21.75$$
$$x_{23} = 10$$
$$x_{24} = 94$$
$$x_{25} = -26$$
$$x_{26} = -50$$
$$x_{27} = 46$$
$$x_{28} = 28$$
$$x_{29} = 26$$
$$x_{30} = 70$$
$$x_{31} = 66$$
$$x_{32} = -92$$
$$x_{33} = 40$$
$$x_{34} = 64$$
$$x_{35} = -76$$
$$x_{36} = 54$$
$$x_{37} = -32$$
$$x_{38} = 98$$
$$x_{39} = -10$$
$$x_{40} = 86$$
$$x_{41} = -34$$
$$x_{42} = -12$$
$$x_{43} = -89.75$$
$$x_{44} = 80.25$$
$$x_{45} = 14$$
$$x_{46} = -16$$
$$x_{47} = -60$$
$$x_{48} = -94$$
$$x_{49} = -48$$
$$x_{50} = 6$$
$$x_{51} = -66$$
$$x_{52} = -74$$
$$x_{53} = -96$$
$$x_{54} = 100$$
$$x_{55} = 2.25$$
$$x_{56} = 32$$
$$x_{57} = -40$$
$$x_{58} = -38$$
$$x_{59} = -100$$
$$x_{60} = 90.25$$
$$x_{61} = 74$$
$$x_{62} = -82$$
$$x_{63} = -56$$
$$x_{64} = -64$$
$$x_{65} = 76$$
$$x_{66} = -1.75$$
$$x_{67} = 8$$
$$x_{68} = 38$$
$$x_{69} = 62.25$$
$$x_{70} = -46$$
$$x_{71} = -28$$
$$x_{72} = -36$$
$$x_{73} = 34$$
$$x_{74} = -52$$
$$x_{75} = 68$$
$$x_{76} = 36$$
$$x_{77} = 56$$
$$x_{78} = 12$$
$$x_{79} = 4$$
$$x_{80} = -17.75$$
$$x_{81} = -86$$
$$x_{82} = 52$$
$$x_{83} = 50$$
$$x_{84} = 44$$
$$x_{85} = -72$$
$$x_{86} = 22.25$$
$$x_{87} = -20$$
$$x_{88} = -29.75$$
$$x_{89} = 96$$
$$x_{90} = -14$$
$$x_{91} = -4$$
$$x_{92} = -42$$
$$x_{93} = 20$$
$$x_{94} = -68$$
$$x_{95} = -54$$
$$x_{96} = -79.75$$
$$x_{97} = -84$$
$$x_{1} = 30.25$$
$$x_{2} = -8$$
$$x_{3} = 60$$
$$x_{4} = -61.75$$
$$x_{5} = 16$$
$$x_{6} = 88$$
$$x_{7} = 58$$
$$x_{8} = -88$$
$$x_{9} = -44$$
$$x_{10} = 48$$
$$x_{11} = 84$$
$$x_{12} = -24$$
$$x_{13} = -98$$
$$x_{14} = 72$$
$$x_{15} = 42$$
$$x_{16} = 82$$
$$x_{17} = -58$$
$$x_{18} = -70$$
$$x_{19} = 24$$
$$x_{20} = -6$$
$$x_{21} = 92$$
$$x_{22} = -21.75$$
$$x_{23} = 10$$
$$x_{24} = 94$$
$$x_{25} = -26$$
$$x_{26} = -50$$
$$x_{27} = 46$$
$$x_{28} = 28$$
$$x_{29} = 26$$
$$x_{30} = 70$$
$$x_{31} = 66$$
$$x_{32} = -92$$
$$x_{33} = 40$$
$$x_{34} = 64$$
$$x_{35} = -76$$
$$x_{36} = 54$$
$$x_{37} = -32$$
$$x_{38} = 98$$
$$x_{39} = -10$$
$$x_{40} = 86$$
$$x_{41} = -34$$
$$x_{42} = -12$$
$$x_{43} = -89.75$$
$$x_{44} = 80.25$$
$$x_{45} = 14$$
$$x_{46} = -16$$
$$x_{47} = -60$$
$$x_{48} = -94$$
$$x_{49} = -48$$
$$x_{50} = 6$$
$$x_{51} = -66$$
$$x_{52} = -74$$
$$x_{53} = -96$$
$$x_{54} = 100$$
$$x_{55} = 2.25$$
$$x_{56} = 32$$
$$x_{57} = -40$$
$$x_{58} = -38$$
$$x_{59} = -100$$
$$x_{60} = 90.25$$
$$x_{61} = 74$$
$$x_{62} = -82$$
$$x_{63} = -56$$
$$x_{64} = -64$$
$$x_{65} = 76$$
$$x_{66} = -1.75$$
$$x_{67} = 8$$
$$x_{68} = 38$$
$$x_{69} = 62.25$$
$$x_{70} = -46$$
$$x_{71} = -28$$
$$x_{72} = -36$$
$$x_{73} = 34$$
$$x_{74} = -52$$
$$x_{75} = 68$$
$$x_{76} = 36$$
$$x_{77} = 56$$
$$x_{78} = 12$$
$$x_{79} = 4$$
$$x_{80} = -17.75$$
$$x_{81} = -86$$
$$x_{82} = 52$$
$$x_{83} = 50$$
$$x_{84} = 44$$
$$x_{85} = -72$$
$$x_{86} = 22.25$$
$$x_{87} = -20$$
$$x_{88} = -29.75$$
$$x_{89} = 96$$
$$x_{90} = -14$$
$$x_{91} = -4$$
$$x_{92} = -42$$
$$x_{93} = 20$$
$$x_{94} = -68$$
$$x_{95} = -54$$
$$x_{96} = -79.75$$
$$x_{97} = -84$$
Las raíces dadas
$$x_{59} = -100$$
$$x_{13} = -98$$
$$x_{53} = -96$$
$$x_{48} = -94$$
$$x_{32} = -92$$
$$x_{43} = -89.75$$
$$x_{8} = -88$$
$$x_{81} = -86$$
$$x_{97} = -84$$
$$x_{62} = -82$$
$$x_{96} = -79.75$$
$$x_{35} = -76$$
$$x_{52} = -74$$
$$x_{85} = -72$$
$$x_{18} = -70$$
$$x_{94} = -68$$
$$x_{51} = -66$$
$$x_{64} = -64$$
$$x_{4} = -61.75$$
$$x_{47} = -60$$
$$x_{17} = -58$$
$$x_{63} = -56$$
$$x_{95} = -54$$
$$x_{74} = -52$$
$$x_{26} = -50$$
$$x_{49} = -48$$
$$x_{70} = -46$$
$$x_{9} = -44$$
$$x_{92} = -42$$
$$x_{57} = -40$$
$$x_{58} = -38$$
$$x_{72} = -36$$
$$x_{41} = -34$$
$$x_{37} = -32$$
$$x_{88} = -29.75$$
$$x_{71} = -28$$
$$x_{25} = -26$$
$$x_{12} = -24$$
$$x_{22} = -21.75$$
$$x_{87} = -20$$
$$x_{80} = -17.75$$
$$x_{46} = -16$$
$$x_{90} = -14$$
$$x_{42} = -12$$
$$x_{39} = -10$$
$$x_{2} = -8$$
$$x_{20} = -6$$
$$x_{91} = -4$$
$$x_{66} = -1.75$$
$$x_{55} = 2.25$$
$$x_{79} = 4$$
$$x_{50} = 6$$
$$x_{67} = 8$$
$$x_{23} = 10$$
$$x_{78} = 12$$
$$x_{45} = 14$$
$$x_{5} = 16$$
$$x_{93} = 20$$
$$x_{86} = 22.25$$
$$x_{19} = 24$$
$$x_{29} = 26$$
$$x_{28} = 28$$
$$x_{1} = 30.25$$
$$x_{56} = 32$$
$$x_{73} = 34$$
$$x_{76} = 36$$
$$x_{68} = 38$$
$$x_{33} = 40$$
$$x_{15} = 42$$
$$x_{84} = 44$$
$$x_{27} = 46$$
$$x_{10} = 48$$
$$x_{83} = 50$$
$$x_{82} = 52$$
$$x_{36} = 54$$
$$x_{77} = 56$$
$$x_{7} = 58$$
$$x_{3} = 60$$
$$x_{69} = 62.25$$
$$x_{34} = 64$$
$$x_{31} = 66$$
$$x_{75} = 68$$
$$x_{30} = 70$$
$$x_{14} = 72$$
$$x_{61} = 74$$
$$x_{65} = 76$$
$$x_{44} = 80.25$$
$$x_{16} = 82$$
$$x_{11} = 84$$
$$x_{40} = 86$$
$$x_{6} = 88$$
$$x_{60} = 90.25$$
$$x_{21} = 92$$
$$x_{24} = 94$$
$$x_{89} = 96$$
$$x_{38} = 98$$
$$x_{54} = 100$$
son puntos de cambio del signo de desigualdad en las soluciones.
Primero definámonos con el signo hasta el punto extremo izquierdo:
$$x_{0} \leq x_{59}$$
Consideremos, por ejemplo, el punto
$$x_{0} = x_{59} - \frac{1}{10}$$
=
$$-100 + - \frac{1}{10}$$
=
$$-100.1$$
lo sustituimos en la expresión
$$\tan{\left(x \right)} \cot{\left(x \right)} \leq 1$$
$$\tan{\left(-100.1 \right)} \cot{\left(-100.1 \right)} \leq 1$$
1 <= 1
significa que una de las soluciones de nuestra ecuación será con:
$$x \leq -100$$
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x59 x13 x53 x48 x32 x43 x8 x81 x97 x62 x96 x35 x52 x85 x18 x94 x51 x64 x4 x47 x17 x63 x95 x74 x26 x49 x70 x9 x92 x57 x58 x72 x41 x37 x88 x71 x25 x12 x22 x87 x80 x46 x90 x42 x39 x2 x20 x91 x66 x55 x79 x50 x67 x23 x78 x45 x5 x93 x86 x19 x29 x28 x1 x56 x73 x76 x68 x33 x15 x84 x27 x10 x83 x82 x36 x77 x7 x3 x69 x34 x31 x75 x30 x14 x61 x65 x44 x16 x11 x40 x6 x60 x21 x24 x89 x38 x54Recibiremos otras soluciones de la desigualdad pasando al polo siguiente etc.
etc.
Respuesta:
$$x \leq -100$$
$$x \geq -98 \wedge x \leq -96$$
$$x \geq -94 \wedge x \leq -92$$
$$x \geq -89.75 \wedge x \leq -88$$
$$x \geq -86 \wedge x \leq -84$$
$$x \geq -82 \wedge x \leq -79.75$$
$$x \geq -76 \wedge x \leq -74$$
$$x \geq -72 \wedge x \leq -70$$
$$x \geq -68 \wedge x \leq -66$$
$$x \geq -64 \wedge x \leq -61.75$$
$$x \geq -60 \wedge x \leq -58$$
$$x \geq -56 \wedge x \leq -54$$
$$x \geq -52 \wedge x \leq -50$$
$$x \geq -48 \wedge x \leq -46$$
$$x \geq -44 \wedge x \leq -42$$
$$x \geq -40 \wedge x \leq -38$$
$$x \geq -36 \wedge x \leq -34$$
$$x \geq -32 \wedge x \leq -29.75$$
$$x \geq -28 \wedge x \leq -26$$
$$x \geq -24 \wedge x \leq -21.75$$
$$x \geq -20 \wedge x \leq -17.75$$
$$x \geq -16 \wedge x \leq -14$$
$$x \geq -12 \wedge x \leq -10$$
$$x \geq -8 \wedge x \leq -6$$
$$x \geq -4 \wedge x \leq -1.75$$
$$x \geq 2.25 \wedge x \leq 4$$
$$x \geq 6 \wedge x \leq 8$$
$$x \geq 10 \wedge x \leq 12$$
$$x \geq 14 \wedge x \leq 16$$
$$x \geq 20 \wedge x \leq 22.25$$
$$x \geq 24 \wedge x \leq 26$$
$$x \geq 28 \wedge x \leq 30.25$$
$$x \geq 32 \wedge x \leq 34$$
$$x \geq 36 \wedge x \leq 38$$
$$x \geq 40 \wedge x \leq 42$$
$$x \geq 44 \wedge x \leq 46$$
$$x \geq 48 \wedge x \leq 50$$
$$x \geq 52 \wedge x \leq 54$$
$$x \geq 56 \wedge x \leq 58$$
$$x \geq 60 \wedge x \leq 62.25$$
$$x \geq 64 \wedge x \leq 66$$
$$x \geq 68 \wedge x \leq 70$$
$$x \geq 72 \wedge x \leq 74$$
$$x \geq 76 \wedge x \leq 80.25$$
$$x \geq 82 \wedge x \leq 84$$
$$x \geq 86 \wedge x \leq 88$$
$$x \geq 90.25 \wedge x \leq 92$$
$$x \geq 94 \wedge x \leq 96$$
$$x \geq 98 \wedge x \leq 100$$