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:
-
(x+1)*(x-9)>0
-
x^2+x-6>0
-
-3-5x<=x+3
-
2-7x>0
-
Expresiones idénticas
- log((tres / cinco)*x- uno)/(tres ^x- cuatro)*((|x|)- dos)< cero
- logaritmo de ((3 dividir por 5) multiplicar por x menos 1) dividir por (3 en el grado x menos 4) multiplicar por (( módulo de x|) menos 2) menos 0
- logaritmo de ((tres dividir por cinco) multiplicar por x menos uno) dividir por (tres en el grado x menos cuatro) multiplicar por (( módulo de x|) menos dos) menos cero
- log((3/5)*x-1)/(3x-4)*((|x|)-2)<0
- log3/5*x-1/3x-4*|x|-2<0
- log((3/5)x-1)/(3^x-4)((|x|)-2)<0
- log((3/5)x-1)/(3x-4)((|x|)-2)<0
- log3/5x-1/3x-4|x|-2<0
- log3/5x-1/3^x-4|x|-2<0
- log((3 dividir por 5)*x-1) dividir por (3^x-4)*((|x|)-2)<0
-
Expresiones semejantes
- log((3/5)*x-1)/(3^x+4)*((|x|)-2)<0
- log((3/5)*x-1)/(3^x-4)*((|x|)+2)<0
- log((3/5)*x+1)/(3^x-4)*((|x|)-2)<0
-
Expresiones con funciones
- Logaritmo log
- log(x)>0
- log(((7-x)/(x+1))^2)/log(x+8)<=1-log((x+1)/(x-7))/log(x+8)
- log((x+1)/(x-1))>1
- log(x^2,|3x+1|)<1/2
- log^2x+6(1-x)>=0
- Módulo |
- |x-1|<3
- |2x+3|<x+7
- ||2x-1|-2|>3
- |x-5|<=|x+3|
- |x+4|*(x-1)<0
log((3/5)*x-1)/(3^x-4)*((|x|)-2)<0 desigualdades
Solución
Ha introducido
[src]
/3*x \
log|--- - 1|
\ 5 /
------------*(|x| - 2) < 0
x
3 - 4
$$\frac{\log{\left(\frac{3 x}{5} - 1 \right)}}{3^{x} - 4} \left(\left|{x}\right| - 2\right) < 0$$
(log(3*x/5 - 1)/(3^x - 4))*(|x| - 2) < 0
Solución detallada
Se da la desigualdad:
$$\frac{\log{\left(\frac{3 x}{5} - 1 \right)}}{3^{x} - 4} \left(\left|{x}\right| - 2\right) < 0$$
Para resolver esta desigualdad primero hay que resolver la ecuación correspondiente:
$$\frac{\log{\left(\frac{3 x}{5} - 1 \right)}}{3^{x} - 4} \left(\left|{x}\right| - 2\right) = 0$$
Resolvemos:
$$x_{1} = 2$$
$$x_{2} = 99.5489461011519$$
$$x_{3} = 93.569076935984$$
$$x_{4} = -1.58824836707847 + 1.21551105485412 i$$
$$x_{5} = 69.6955656021939$$
$$x_{6} = 89.5843484961848$$
$$x_{7} = 47.986138217215$$
$$x_{8} = 53.8721104571523$$
$$x_{9} = 34.5865198984739$$
$$x_{10} = 38.3274738944155$$
$$x_{11} = 101.542871331041$$
$$x_{12} = 0.239810685711167 - 1.98557065727179 i$$
$$x_{13} = 117.502985828178$$
$$x_{14} = 44.0911138123982$$
$$x_{15} = 77.6422682789124$$
$$x_{16} = 46.0348974386323$$
$$x_{17} = 111.516357806476$$
$$x_{18} = 75.6542283996978$$
$$x_{19} = 107.526259258136$$
$$x_{20} = -1.99183624728629 + 0.180522475045236 i$$
$$x_{21} = 91.5765077934754$$
$$x_{22} = 63.7475479215625$$
$$x_{23} = 113.511715370856$$
$$x_{24} = 61.7679847128898$$
$$x_{25} = 81.6205699126418$$
$$x_{26} = 103.537077665171$$
$$x_{27} = 79.6310724235353$$
$$x_{28} = 57.8149061867567$$
$$x_{29} = -1.90471137738747 + 0.609979154439506 i$$
$$x_{30} = 40.2342227391959$$
$$x_{31} = -1.66293534725546 + 1.11114626888109 i$$
$$x_{32} = 73.6670337421039$$
$$x_{33} = 31.0371486419629$$
$$x_{34} = 115.507261797432$$
$$x_{35} = 29.4315516048316$$
$$x_{36} = -1.91639660213643 + 0.572209807081247 i$$
$$x_{37} = -1.86464911627047 - 0.723245237241096 i$$
$$x_{38} = 95.5620246791833$$
$$x_{39} = 97.5553228758457$$
$$x_{40} = 71.6807771448587$$
$$x_{41} = 67.7115230823567$$
$$x_{42} = 59.7903423536149$$
$$x_{43} = 85.6014026112032$$
$$x_{44} = 105.531546087423$$
$$x_{45} = 32.7757404339411$$
$$x_{46} = 87.5926338246734$$
$$x_{47} = 42.1566825563676$$
$$x_{48} = 49.9434275339244$$
$$x_{49} = 51.9056947463735$$
$$x_{50} = -2$$
$$x_{51} = -1.75828888460461 + 0.953110800629115 i$$
$$x_{52} = 83.6106983486007$$
$$x_{53} = 119.498877081524$$
$$x_{54} = 36.4419983188166$$
$$x_{55} = 65.7287940517843$$
$$x_{56} = 55.8420215236371$$
$$x_{57} = 109.521201333264$$
Descartamos las soluciones complejas:
$$x_{1} = 2$$
$$x_{2} = 99.5489461011519$$
$$x_{3} = 93.569076935984$$
$$x_{4} = 69.6955656021939$$
$$x_{5} = 89.5843484961848$$
$$x_{6} = 47.986138217215$$
$$x_{7} = 53.8721104571523$$
$$x_{8} = 34.5865198984739$$
$$x_{9} = 38.3274738944155$$
$$x_{10} = 101.542871331041$$
$$x_{11} = 117.502985828178$$
$$x_{12} = 44.0911138123982$$
$$x_{13} = 77.6422682789124$$
$$x_{14} = 46.0348974386323$$
$$x_{15} = 111.516357806476$$
$$x_{16} = 75.6542283996978$$
$$x_{17} = 107.526259258136$$
$$x_{18} = 91.5765077934754$$
$$x_{19} = 63.7475479215625$$
$$x_{20} = 113.511715370856$$
$$x_{21} = 61.7679847128898$$
$$x_{22} = 81.6205699126418$$
$$x_{23} = 103.537077665171$$
$$x_{24} = 79.6310724235353$$
$$x_{25} = 57.8149061867567$$
$$x_{26} = 40.2342227391959$$
$$x_{27} = 73.6670337421039$$
$$x_{28} = 31.0371486419629$$
$$x_{29} = 115.507261797432$$
$$x_{30} = 29.4315516048316$$
$$x_{31} = 95.5620246791833$$
$$x_{32} = 97.5553228758457$$
$$x_{33} = 71.6807771448587$$
$$x_{34} = 67.7115230823567$$
$$x_{35} = 59.7903423536149$$
$$x_{36} = 85.6014026112032$$
$$x_{37} = 105.531546087423$$
$$x_{38} = 32.7757404339411$$
$$x_{39} = 87.5926338246734$$
$$x_{40} = 42.1566825563676$$
$$x_{41} = 49.9434275339244$$
$$x_{42} = 51.9056947463735$$
$$x_{43} = -2$$
$$x_{44} = 83.6106983486007$$
$$x_{45} = 119.498877081524$$
$$x_{46} = 36.4419983188166$$
$$x_{47} = 65.7287940517843$$
$$x_{48} = 55.8420215236371$$
$$x_{49} = 109.521201333264$$
Las raíces dadas
$$x_{43} = -2$$
$$x_{1} = 2$$
$$x_{30} = 29.4315516048316$$
$$x_{28} = 31.0371486419629$$
$$x_{38} = 32.7757404339411$$
$$x_{8} = 34.5865198984739$$
$$x_{46} = 36.4419983188166$$
$$x_{9} = 38.3274738944155$$
$$x_{26} = 40.2342227391959$$
$$x_{40} = 42.1566825563676$$
$$x_{12} = 44.0911138123982$$
$$x_{14} = 46.0348974386323$$
$$x_{6} = 47.986138217215$$
$$x_{41} = 49.9434275339244$$
$$x_{42} = 51.9056947463735$$
$$x_{7} = 53.8721104571523$$
$$x_{48} = 55.8420215236371$$
$$x_{25} = 57.8149061867567$$
$$x_{35} = 59.7903423536149$$
$$x_{21} = 61.7679847128898$$
$$x_{19} = 63.7475479215625$$
$$x_{47} = 65.7287940517843$$
$$x_{34} = 67.7115230823567$$
$$x_{4} = 69.6955656021939$$
$$x_{33} = 71.6807771448587$$
$$x_{27} = 73.6670337421039$$
$$x_{16} = 75.6542283996978$$
$$x_{13} = 77.6422682789124$$
$$x_{24} = 79.6310724235353$$
$$x_{22} = 81.6205699126418$$
$$x_{44} = 83.6106983486007$$
$$x_{36} = 85.6014026112032$$
$$x_{39} = 87.5926338246734$$
$$x_{5} = 89.5843484961848$$
$$x_{18} = 91.5765077934754$$
$$x_{3} = 93.569076935984$$
$$x_{31} = 95.5620246791833$$
$$x_{32} = 97.5553228758457$$
$$x_{2} = 99.5489461011519$$
$$x_{10} = 101.542871331041$$
$$x_{23} = 103.537077665171$$
$$x_{37} = 105.531546087423$$
$$x_{17} = 107.526259258136$$
$$x_{49} = 109.521201333264$$
$$x_{15} = 111.516357806476$$
$$x_{20} = 113.511715370856$$
$$x_{29} = 115.507261797432$$
$$x_{11} = 117.502985828178$$
$$x_{45} = 119.498877081524$$
son puntos de cambio del signo de desigualdad en las soluciones.
Primero definámonos con el signo hasta el punto extremo izquierdo:
$$x_{0} < x_{43}$$
Consideremos, por ejemplo, el punto
$$x_{0} = x_{43} - \frac{1}{10}$$
=
$$-2 + - \frac{1}{10}$$
=
$$-2.1$$
lo sustituimos en la expresión
$$\frac{\log{\left(\frac{3 x}{5} - 1 \right)}}{3^{x} - 4} \left(\left|{x}\right| - 2\right) < 0$$
$$\frac{\log{\left(\frac{\left(-2.1\right) 3}{5} - 1 \right)}}{-4 + 3^{-2.1}} \left(-2 + \left|{-2.1}\right|\right) < 0$$
Entonces
$$x < -2$$
no se cumple
significa que una de las soluciones de nuestra ecuación será con:
$$x > -2 \wedge x < 2$$
Recibiremos otras soluciones de la desigualdad pasando al polo siguiente etc.
etc.
Respuesta:
$$x > -2 \wedge x < 2$$
$$x > 29.4315516048316 \wedge x < 31.0371486419629$$
$$x > 32.7757404339411 \wedge x < 34.5865198984739$$
$$x > 36.4419983188166 \wedge x < 38.3274738944155$$
$$x > 40.2342227391959 \wedge x < 42.1566825563676$$
$$x > 44.0911138123982 \wedge x < 46.0348974386323$$
$$x > 47.986138217215 \wedge x < 49.9434275339244$$
$$x > 51.9056947463735 \wedge x < 53.8721104571523$$
$$x > 55.8420215236371 \wedge x < 57.8149061867567$$
$$x > 59.7903423536149 \wedge x < 61.7679847128898$$
$$x > 63.7475479215625 \wedge x < 65.7287940517843$$
$$x > 67.7115230823567 \wedge x < 69.6955656021939$$
$$x > 71.6807771448587 \wedge x < 73.6670337421039$$
$$x > 75.6542283996978 \wedge x < 77.6422682789124$$
$$x > 79.6310724235353 \wedge x < 81.6205699126418$$
$$x > 83.6106983486007 \wedge x < 85.6014026112032$$
$$x > 87.5926338246734 \wedge x < 89.5843484961848$$
$$x > 91.5765077934754 \wedge x < 93.569076935984$$
$$x > 95.5620246791833 \wedge x < 97.5553228758457$$
$$x > 99.5489461011519 \wedge x < 101.542871331041$$
$$x > 103.537077665171 \wedge x < 105.531546087423$$
$$x > 107.526259258136 \wedge x < 109.521201333264$$
$$x > 111.516357806476 \wedge x < 113.511715370856$$
$$x > 115.507261797432 \wedge x < 117.502985828178$$
$$x > 119.498877081524$$
$$\frac{\log{\left(\frac{3 x}{5} - 1 \right)}}{3^{x} - 4} \left(\left|{x}\right| - 2\right) < 0$$
Para resolver esta desigualdad primero hay que resolver la ecuación correspondiente:
$$\frac{\log{\left(\frac{3 x}{5} - 1 \right)}}{3^{x} - 4} \left(\left|{x}\right| - 2\right) = 0$$
Resolvemos:
$$x_{1} = 2$$
$$x_{2} = 99.5489461011519$$
$$x_{3} = 93.569076935984$$
$$x_{4} = -1.58824836707847 + 1.21551105485412 i$$
$$x_{5} = 69.6955656021939$$
$$x_{6} = 89.5843484961848$$
$$x_{7} = 47.986138217215$$
$$x_{8} = 53.8721104571523$$
$$x_{9} = 34.5865198984739$$
$$x_{10} = 38.3274738944155$$
$$x_{11} = 101.542871331041$$
$$x_{12} = 0.239810685711167 - 1.98557065727179 i$$
$$x_{13} = 117.502985828178$$
$$x_{14} = 44.0911138123982$$
$$x_{15} = 77.6422682789124$$
$$x_{16} = 46.0348974386323$$
$$x_{17} = 111.516357806476$$
$$x_{18} = 75.6542283996978$$
$$x_{19} = 107.526259258136$$
$$x_{20} = -1.99183624728629 + 0.180522475045236 i$$
$$x_{21} = 91.5765077934754$$
$$x_{22} = 63.7475479215625$$
$$x_{23} = 113.511715370856$$
$$x_{24} = 61.7679847128898$$
$$x_{25} = 81.6205699126418$$
$$x_{26} = 103.537077665171$$
$$x_{27} = 79.6310724235353$$
$$x_{28} = 57.8149061867567$$
$$x_{29} = -1.90471137738747 + 0.609979154439506 i$$
$$x_{30} = 40.2342227391959$$
$$x_{31} = -1.66293534725546 + 1.11114626888109 i$$
$$x_{32} = 73.6670337421039$$
$$x_{33} = 31.0371486419629$$
$$x_{34} = 115.507261797432$$
$$x_{35} = 29.4315516048316$$
$$x_{36} = -1.91639660213643 + 0.572209807081247 i$$
$$x_{37} = -1.86464911627047 - 0.723245237241096 i$$
$$x_{38} = 95.5620246791833$$
$$x_{39} = 97.5553228758457$$
$$x_{40} = 71.6807771448587$$
$$x_{41} = 67.7115230823567$$
$$x_{42} = 59.7903423536149$$
$$x_{43} = 85.6014026112032$$
$$x_{44} = 105.531546087423$$
$$x_{45} = 32.7757404339411$$
$$x_{46} = 87.5926338246734$$
$$x_{47} = 42.1566825563676$$
$$x_{48} = 49.9434275339244$$
$$x_{49} = 51.9056947463735$$
$$x_{50} = -2$$
$$x_{51} = -1.75828888460461 + 0.953110800629115 i$$
$$x_{52} = 83.6106983486007$$
$$x_{53} = 119.498877081524$$
$$x_{54} = 36.4419983188166$$
$$x_{55} = 65.7287940517843$$
$$x_{56} = 55.8420215236371$$
$$x_{57} = 109.521201333264$$
Descartamos las soluciones complejas:
$$x_{1} = 2$$
$$x_{2} = 99.5489461011519$$
$$x_{3} = 93.569076935984$$
$$x_{4} = 69.6955656021939$$
$$x_{5} = 89.5843484961848$$
$$x_{6} = 47.986138217215$$
$$x_{7} = 53.8721104571523$$
$$x_{8} = 34.5865198984739$$
$$x_{9} = 38.3274738944155$$
$$x_{10} = 101.542871331041$$
$$x_{11} = 117.502985828178$$
$$x_{12} = 44.0911138123982$$
$$x_{13} = 77.6422682789124$$
$$x_{14} = 46.0348974386323$$
$$x_{15} = 111.516357806476$$
$$x_{16} = 75.6542283996978$$
$$x_{17} = 107.526259258136$$
$$x_{18} = 91.5765077934754$$
$$x_{19} = 63.7475479215625$$
$$x_{20} = 113.511715370856$$
$$x_{21} = 61.7679847128898$$
$$x_{22} = 81.6205699126418$$
$$x_{23} = 103.537077665171$$
$$x_{24} = 79.6310724235353$$
$$x_{25} = 57.8149061867567$$
$$x_{26} = 40.2342227391959$$
$$x_{27} = 73.6670337421039$$
$$x_{28} = 31.0371486419629$$
$$x_{29} = 115.507261797432$$
$$x_{30} = 29.4315516048316$$
$$x_{31} = 95.5620246791833$$
$$x_{32} = 97.5553228758457$$
$$x_{33} = 71.6807771448587$$
$$x_{34} = 67.7115230823567$$
$$x_{35} = 59.7903423536149$$
$$x_{36} = 85.6014026112032$$
$$x_{37} = 105.531546087423$$
$$x_{38} = 32.7757404339411$$
$$x_{39} = 87.5926338246734$$
$$x_{40} = 42.1566825563676$$
$$x_{41} = 49.9434275339244$$
$$x_{42} = 51.9056947463735$$
$$x_{43} = -2$$
$$x_{44} = 83.6106983486007$$
$$x_{45} = 119.498877081524$$
$$x_{46} = 36.4419983188166$$
$$x_{47} = 65.7287940517843$$
$$x_{48} = 55.8420215236371$$
$$x_{49} = 109.521201333264$$
Las raíces dadas
$$x_{43} = -2$$
$$x_{1} = 2$$
$$x_{30} = 29.4315516048316$$
$$x_{28} = 31.0371486419629$$
$$x_{38} = 32.7757404339411$$
$$x_{8} = 34.5865198984739$$
$$x_{46} = 36.4419983188166$$
$$x_{9} = 38.3274738944155$$
$$x_{26} = 40.2342227391959$$
$$x_{40} = 42.1566825563676$$
$$x_{12} = 44.0911138123982$$
$$x_{14} = 46.0348974386323$$
$$x_{6} = 47.986138217215$$
$$x_{41} = 49.9434275339244$$
$$x_{42} = 51.9056947463735$$
$$x_{7} = 53.8721104571523$$
$$x_{48} = 55.8420215236371$$
$$x_{25} = 57.8149061867567$$
$$x_{35} = 59.7903423536149$$
$$x_{21} = 61.7679847128898$$
$$x_{19} = 63.7475479215625$$
$$x_{47} = 65.7287940517843$$
$$x_{34} = 67.7115230823567$$
$$x_{4} = 69.6955656021939$$
$$x_{33} = 71.6807771448587$$
$$x_{27} = 73.6670337421039$$
$$x_{16} = 75.6542283996978$$
$$x_{13} = 77.6422682789124$$
$$x_{24} = 79.6310724235353$$
$$x_{22} = 81.6205699126418$$
$$x_{44} = 83.6106983486007$$
$$x_{36} = 85.6014026112032$$
$$x_{39} = 87.5926338246734$$
$$x_{5} = 89.5843484961848$$
$$x_{18} = 91.5765077934754$$
$$x_{3} = 93.569076935984$$
$$x_{31} = 95.5620246791833$$
$$x_{32} = 97.5553228758457$$
$$x_{2} = 99.5489461011519$$
$$x_{10} = 101.542871331041$$
$$x_{23} = 103.537077665171$$
$$x_{37} = 105.531546087423$$
$$x_{17} = 107.526259258136$$
$$x_{49} = 109.521201333264$$
$$x_{15} = 111.516357806476$$
$$x_{20} = 113.511715370856$$
$$x_{29} = 115.507261797432$$
$$x_{11} = 117.502985828178$$
$$x_{45} = 119.498877081524$$
son puntos de cambio del signo de desigualdad en las soluciones.
Primero definámonos con el signo hasta el punto extremo izquierdo:
$$x_{0} < x_{43}$$
Consideremos, por ejemplo, el punto
$$x_{0} = x_{43} - \frac{1}{10}$$
=
$$-2 + - \frac{1}{10}$$
=
$$-2.1$$
lo sustituimos en la expresión
$$\frac{\log{\left(\frac{3 x}{5} - 1 \right)}}{3^{x} - 4} \left(\left|{x}\right| - 2\right) < 0$$
$$\frac{\log{\left(\frac{\left(-2.1\right) 3}{5} - 1 \right)}}{-4 + 3^{-2.1}} \left(-2 + \left|{-2.1}\right|\right) < 0$$
-0.0209043830784063 - 0.0256380735810831*pi*I < 0
Entonces
$$x < -2$$
no se cumple
significa que una de las soluciones de nuestra ecuación será con:
$$x > -2 \wedge x < 2$$
_____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____
/ \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------ο-------
x43 x1 x30 x28 x38 x8 x46 x9 x26 x40 x12 x14 x6 x41 x42 x7 x48 x25 x35 x21 x19 x47 x34 x4 x33 x27 x16 x13 x24 x22 x44 x36 x39 x5 x18 x3 x31 x32 x2 x10 x23 x37 x17 x49 x15 x20 x29 x11 x45Recibiremos otras soluciones de la desigualdad pasando al polo siguiente etc.
etc.
Respuesta:
$$x > -2 \wedge x < 2$$
$$x > 29.4315516048316 \wedge x < 31.0371486419629$$
$$x > 32.7757404339411 \wedge x < 34.5865198984739$$
$$x > 36.4419983188166 \wedge x < 38.3274738944155$$
$$x > 40.2342227391959 \wedge x < 42.1566825563676$$
$$x > 44.0911138123982 \wedge x < 46.0348974386323$$
$$x > 47.986138217215 \wedge x < 49.9434275339244$$
$$x > 51.9056947463735 \wedge x < 53.8721104571523$$
$$x > 55.8420215236371 \wedge x < 57.8149061867567$$
$$x > 59.7903423536149 \wedge x < 61.7679847128898$$
$$x > 63.7475479215625 \wedge x < 65.7287940517843$$
$$x > 67.7115230823567 \wedge x < 69.6955656021939$$
$$x > 71.6807771448587 \wedge x < 73.6670337421039$$
$$x > 75.6542283996978 \wedge x < 77.6422682789124$$
$$x > 79.6310724235353 \wedge x < 81.6205699126418$$
$$x > 83.6106983486007 \wedge x < 85.6014026112032$$
$$x > 87.5926338246734 \wedge x < 89.5843484961848$$
$$x > 91.5765077934754 \wedge x < 93.569076935984$$
$$x > 95.5620246791833 \wedge x < 97.5553228758457$$
$$x > 99.5489461011519 \wedge x < 101.542871331041$$
$$x > 103.537077665171 \wedge x < 105.531546087423$$
$$x > 107.526259258136 \wedge x < 109.521201333264$$
$$x > 111.516357806476 \wedge x < 113.511715370856$$
$$x > 115.507261797432 \wedge x < 117.502985828178$$
$$x > 119.498877081524$$
Solución de la desigualdad en el gráfico
Respuesta rápida 2
[src]
(2, 10/3)
$$x\ in\ \left(2, \frac{10}{3}\right)$$
x in Interval.open(2, 10/3)