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- 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
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¿Cómo usar?
- Desigualdades:
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x^2-10x<0
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(x-2)^2/(x-1)<0
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-x^2+3x-2<0
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4x-4>=9x+6
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Expresiones idénticas
- cuatro ^x- cuatro * dos ^x+ tres + uno / cuatro ^x- cuatro * dos ^x+ cinco > cero
- 4 en el grado x menos 4 multiplicar por 2 en el grado x más 3 más 1 dividir por 4 en el grado x menos 4 multiplicar por 2 en el grado x más 5 más 0
- cuatro en el grado x menos cuatro multiplicar por dos en el grado x más tres más uno dividir por cuatro en el grado x menos cuatro multiplicar por dos en el grado x más cinco más cero
- 4x-4*2x+3+1/4x-4*2x+5>0
- 4^x-42^x+3+1/4^x-42^x+5>0
- 4x-42x+3+1/4x-42x+5>0
- 4^x-4*2^x+3+1 dividir por 4^x-4*2^x+5>0
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Expresiones semejantes
- 4^x-4*2^x+3+1/4^x-4*2^x-5>0
- 4^x-4*2^x+3+1/4^x+4*2^x+5>0
- 4^x+4*2^x+3+1/4^x-4*2^x+5>0
- 4^x-4*2^x-3+1/4^x-4*2^x+5>0
- 4^x-4*2^x+3-1/4^x-4*2^x+5>0
4^x-4*2^x+3+1/4^x-4*2^x+5>0 desigualdades
Solución
Ha introducido
[src]
x x -x x 4 - 4*2 + 3 + 4 - 4*2 + 5 > 0
$$\left(- 4 \cdot 2^{x} + \left(\left(\left(- 4 \cdot 2^{x} + 4^{x}\right) + 3\right) + \left(\frac{1}{4}\right)^{x}\right)\right) + 5 > 0$$
-4*2^x - 4*2^x + 4^x + 3 + (1/4)^x + 5 > 0
Solución de la desigualdad en el gráfico
Respuesta rápida
[src]
/ / / _____________________________________________________________________________________________________________________________\ \ / _____________________________________________________________________________________________________________________________\\ | | | / ________________ | | | / ________________ || | | | / / ______ | | | / / ______ || | | | / 64 / 136 \/ 1293 64 38 | | | / 64 / 136 \/ 1293 64 38 || | | | / -- - 2*3 / --- + -------- + ------------------------------------------------------------------ - ----------------------- | | | / -- - 2*3 / --- + -------- + ------------------------------------------------------------------ - ----------------------- || | | | ________________________________________________________ / 3 \/ 27 9 ________________________________________________________ ________________ | | | ________________________________________________________ / 3 \/ 27 9 ________________________________________________________ ________________ || | | | / ________________ / / ________________ / ______ | | | / ________________ / / ________________ / ______ || | | | / / ______ / / / ______ / 136 \/ 1293 | | | / / ______ / / / ______ / 136 \/ 1293 || | | | / 32 / 136 \/ 1293 38 / / 32 / 136 \/ 1293 38 9*3 / --- + -------- | | | / 32 / 136 \/ 1293 38 / / 32 / 136 \/ 1293 38 9*3 / --- + -------- || | | | / -- + 2*3 / --- + -------- + ----------------------- / / -- + 2*3 / --- + -------- + ----------------------- \/ 27 9 | | | / -- + 2*3 / --- + -------- + ----------------------- / / -- + 2*3 / --- + -------- + ----------------------- \/ 27 9 || | | | / 3 \/ 27 9 ________________ / / 3 \/ 27 9 ________________ | | | / 3 \/ 27 9 ________________ / / 3 \/ 27 9 ________________ || | | | / / ______ / / / ______ | | | / / ______ / / / ______ || | | | / / 136 \/ 1293 / / / 136 \/ 1293 | | | / / 136 \/ 1293 / / / 136 \/ 1293 || | | | / 9*3 / --- + -------- / / 9*3 / --- + -------- | | | / 9*3 / --- + -------- / / 9*3 / --- + -------- || | | | \/ \/ 27 9 \/ \/ \/ 27 9 | | | \/ \/ 27 9 \/ \/ \/ 27 9 || | | log|2 + ------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------| | log|2 + ------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------------------------------------------------|| | | \ 2 2 / | \ 2 2 /| Or|And|x < oo, -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- < x|, x < --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \ \ log(2) / log(2) /
$$\left(x < \infty \wedge \frac{\log{\left(2 + \frac{\sqrt{\frac{38}{9 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}}} + 2 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}} + \frac{32}{3}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}} - \frac{38}{9 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}}} + \frac{64}{\sqrt{\frac{38}{9 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}}} + 2 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}} + \frac{32}{3}}} + \frac{64}{3}}}{2} \right)}}{\log{\left(2 \right)}} < x\right) \vee x < \frac{\log{\left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}} - \frac{38}{9 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}}} + \frac{64}{\sqrt{\frac{38}{9 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}}} + 2 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}} + \frac{32}{3}}} + \frac{64}{3}}}{2} + 2 + \frac{\sqrt{\frac{38}{9 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}}} + 2 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}} + \frac{32}{3}}}{2} \right)}}{\log{\left(2 \right)}}$$
(x < log(2 + sqrt(32/3 + 2*(136/27 + sqrt(1293)/9)^(1/3) + 38/(9*(136/27 + sqrt(1293)/9)^(1/3)))/2 - sqrt(64/3 - 2*(136/27 + sqrt(1293)/9)^(1/3) + 64/sqrt(32/3 + 2*(136/27 + sqrt(1293)/9)^(1/3) + 38/(9*(136/27 + sqrt(1293)/9)^(1/3))) - 38/(9*(136/27 + sqrt(1293)/9)^(1/3)))/2)/log(2))∨((x < oo)∧(log(2 + sqrt(32/3 + 2*(136/27 + sqrt(1293)/9)^(1/3) + 38/(9*(136/27 + sqrt(1293)/9)^(1/3)))/2 + sqrt(64/3 - 2*(136/27 + sqrt(1293)/9)^(1/3) + 64/sqrt(32/3 + 2*(136/27 + sqrt(1293)/9)^(1/3) + 38/(9*(136/27 + sqrt(1293)/9)^(1/3))) - 38/(9*(136/27 + sqrt(1293)/9)^(1/3)))/2)/log(2) < x))
Respuesta rápida 2
[src]
/ _____________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________\
| / ________________ | | / ________________ |
| / / ______ | | / / ______ |
| / 64 / 136 \/ 1293 64 38 | | / 64 / 136 \/ 1293 64 38 |
| / -- - 2*3 / --- + -------- + ------------------------------------------------------------------ - ----------------------- | | / -- - 2*3 / --- + -------- + ------------------------------------------------------------------ - ----------------------- |
| ________________________________________________________ / 3 \/ 27 9 ________________________________________________________ ________________ | | ________________________________________________________ / 3 \/ 27 9 ________________________________________________________ ________________ |
| / ________________ / / ________________ / ______ | | / ________________ / / ________________ / ______ |
| / / ______ / / / ______ / 136 \/ 1293 | | / / ______ / / / ______ / 136 \/ 1293 |
| / 32 / 136 \/ 1293 38 / / 32 / 136 \/ 1293 38 9*3 / --- + -------- | | / 32 / 136 \/ 1293 38 / / 32 / 136 \/ 1293 38 9*3 / --- + -------- |
| / -- + 2*3 / --- + -------- + ----------------------- / / -- + 2*3 / --- + -------- + ----------------------- \/ 27 9 | | / -- + 2*3 / --- + -------- + ----------------------- / / -- + 2*3 / --- + -------- + ----------------------- \/ 27 9 |
| / 3 \/ 27 9 ________________ / / 3 \/ 27 9 ________________ | | / 3 \/ 27 9 ________________ / / 3 \/ 27 9 ________________ |
| / / ______ / / / ______ | | / / ______ / / / ______ |
| / / 136 \/ 1293 / / / 136 \/ 1293 | | / / 136 \/ 1293 / / / 136 \/ 1293 |
| / 9*3 / --- + -------- / / 9*3 / --- + -------- | | / 9*3 / --- + -------- / / 9*3 / --- + -------- |
| \/ \/ 27 9 \/ \/ \/ 27 9 | | \/ \/ 27 9 \/ \/ \/ 27 9 |
log|2 + ------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------------------------------------------------| log|2 + ------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------|
\ 2 2 / \ 2 2 /
(-oo, --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------) U (--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, oo)
log(2) log(2)
$$x\ in\ \left(-\infty, \frac{\log{\left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}} - \frac{38}{9 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}}} + \frac{64}{\sqrt{\frac{38}{9 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}}} + 2 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}} + \frac{32}{3}}} + \frac{64}{3}}}{2} + 2 + \frac{\sqrt{\frac{38}{9 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}}} + 2 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}} + \frac{32}{3}}}{2} \right)}}{\log{\left(2 \right)}}\right) \cup \left(\frac{\log{\left(2 + \frac{\sqrt{\frac{38}{9 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}}} + 2 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}} + \frac{32}{3}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}} - \frac{38}{9 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}}} + \frac{64}{\sqrt{\frac{38}{9 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}}} + 2 \sqrt[3]{\frac{\sqrt{1293}}{9} + \frac{136}{27}} + \frac{32}{3}}} + \frac{64}{3}}}{2} \right)}}{\log{\left(2 \right)}}, \infty\right)$$
x in Union(Interval.open(-oo, log(-sqrt(-2*(sqrt(1293)/9 + 136/27)^(1/3) - 38/(9*(sqrt(1293)/9 + 136/27)^(1/3)) + 64/sqrt(38/(9*(sqrt(1293)/9 + 136/27)^(1/3)) + 2*(sqrt(1293)/9 + 136/27)^(1/3) + 32/3) + 64/3)/2 + 2 + sqrt(38/(9*(sqrt(1293)/9 + 136/27)^(1/3)) + 2*(sqrt(1293)/9 + 136/27)^(1/3) + 32/3)/2)/log(2)), Interval.open(log(2 + sqrt(38/(9*(sqrt(1293)/9 + 136/27)^(1/3)) + 2*(sqrt(1293)/9 + 136/27)^(1/3) + 32/3)/2 + sqrt(-2*(sqrt(1293)/9 + 136/27)^(1/3) - 38/(9*(sqrt(1293)/9 + 136/27)^(1/3)) + 64/sqrt(38/(9*(sqrt(1293)/9 + 136/27)^(1/3)) + 2*(sqrt(1293)/9 + 136/27)^(1/3) + 32/3) + 64/3)/2)/log(2), oo))
Gráfico