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+3)*(x^2-3x+9)>(x^2-6)(x-1)
-
(x+3)*(x^2-3x+9)>(x^2-6)*(x-1)
-
6x-11*(x+2)>-8
-
(x-1)*(x-3)>0
- Forma canónica:
- =0
-
Expresiones idénticas
- tres * cuarenta y cinco ^x- tres * veintisiete ^x- veintiocho * quince ^x+ veintiocho * nueve ^x+ nueve * cinco ^x- tres ^(x+ dos)<= cero
- 3 multiplicar por 45 en el grado x menos 3 multiplicar por 27 en el grado x menos 28 multiplicar por 15 en el grado x más 28 multiplicar por 9 en el grado x más 9 multiplicar por 5 en el grado x menos 3 en el grado (x más 2) menos o igual a 0
- tres multiplicar por cuarenta y cinco en el grado x menos tres multiplicar por veintisiete en el grado x menos veintiocho multiplicar por quince en el grado x más veintiocho multiplicar por nueve en el grado x más nueve multiplicar por cinco en el grado x menos tres en el grado (x más dos) menos o igual a cero
- 3*45x-3*27x-28*15x+28*9x+9*5x-3(x+2)<=0
- 3*45x-3*27x-28*15x+28*9x+9*5x-3x+2<=0
- 345^x-327^x-2815^x+289^x+95^x-3^(x+2)<=0
- 345x-327x-2815x+289x+95x-3(x+2)<=0
- 345x-327x-2815x+289x+95x-3x+2<=0
- 345^x-327^x-2815^x+289^x+95^x-3^x+2<=0
- 3*45^x-3*27^x-28*15^x+28*9^x+9*5^x-3^(x+2)<=O
-
Expresiones semejantes
- 3*45^x-3*27^x-28*15^x+28*9^x+9*5^x+3^(x+2)<=0
- 3*45^x-3*27^x+28*15^x+28*9^x+9*5^x-3^(x+2)<=0
- 3*45^x-3*27^x-28*15^x-28*9^x+9*5^x-3^(x+2)<=0
- 3*45^x-3*27^x-28*15^x+28*9^x+9*5^x-3^(x-2)<=0
- 3*45^x+3*27^x-28*15^x+28*9^x+9*5^x-3^(x+2)<=0
- 3*45^x-3*27^x-28*15^x+28*9^x-9*5^x-3^(x+2)<=0
3*45^x-3*27^x-28*15^x+28*9^x+9*5^x-3^(x+2)<=0 desigualdades
Solución
Ha introducido
[src]
x x x x x x + 2 3*45 - 3*27 - 28*15 + 28*9 + 9*5 - 3 <= 0
$$- 3^{x + 2} + \left(9 \cdot 5^{x} + \left(28 \cdot 9^{x} + \left(- 28 \cdot 15^{x} + \left(- 3 \cdot 27^{x} + 3 \cdot 45^{x}\right)\right)\right)\right) \leq 0$$
-3^(x + 2) + 9*5^x + 28*9^x - 28*15^x - 3*27^x + 3*45^x <= 0
Solución detallada
Se da la desigualdad:
$$- 3^{x + 2} + \left(9 \cdot 5^{x} + \left(28 \cdot 9^{x} + \left(- 28 \cdot 15^{x} + \left(- 3 \cdot 27^{x} + 3 \cdot 45^{x}\right)\right)\right)\right) \leq 0$$
Para resolver esta desigualdad primero hay que resolver la ecuación correspondiente:
$$- 3^{x + 2} + \left(9 \cdot 5^{x} + \left(28 \cdot 9^{x} + \left(- 28 \cdot 15^{x} + \left(- 3 \cdot 27^{x} + 3 \cdot 45^{x}\right)\right)\right)\right) = 0$$
Resolvemos:
$$x_{1} = -104.985557061373$$
$$x_{2} = -52.985557096468$$
$$x_{3} = -68.9855570613828$$
$$x_{4} = -96.9855570613729$$
$$x_{5} = -94.9855570613729$$
$$x_{6} = -100.985557061373$$
$$x_{7} = -56.9855570659212$$
$$x_{8} = -98.9855570613729$$
$$x_{9} = -32.9367772221347$$
$$x_{10} = -90.9855570613729$$
$$x_{11} = -32.9865185933132$$
$$x_{12} = -66.9855570614004$$
$$x_{13} = -34.9859028145641$$
$$x_{14} = -36.9856814859561$$
$$x_{15} = -118.985557061373$$
$$x_{16} = -116.985557061373$$
$$x_{17} = -70.9855570613764$$
$$x_{18} = -38.9856018487484$$
$$x_{19} = -76.985557061373$$
$$x_{20} = -50.9855571588594$$
$$x_{21} = -46.9855578135842$$
$$x_{22} = -40.9855731841808$$
$$x_{23} = -30.98823750091$$
$$x_{24} = -78.9855570613729$$
$$x_{25} = -82.9855570613729$$
$$x_{26} = -80.9855570613729$$
$$x_{27} = -42.9855628655068$$
$$x_{28} = -74.9855570613733$$
$$x_{29} = -112.985557061373$$
$$x_{30} = -86.9855570613729$$
$$x_{31} = -110.985557061373$$
$$x_{32} = -84.9855570613729$$
$$x_{33} = 2$$
$$x_{34} = -64.9855570614493$$
$$x_{35} = -92.9855570613729$$
$$x_{36} = -108.985557061373$$
$$x_{37} = -88.9855570613729$$
$$x_{38} = -72.9855570613742$$
$$x_{39} = -48.9855573321688$$
$$x_{40} = -106.985557061373$$
$$x_{41} = -62.9855570615851$$
$$x_{42} = -27.0071877297463$$
$$x_{43} = -114.985557061373$$
$$x_{44} = -60.9855570619623$$
$$x_{45} = -44.9855591508519$$
$$x_{46} = -58.9855570630103$$
$$x_{47} = 0$$
$$x_{48} = -54.9855570740071$$
$$x_{49} = -102.985557061373$$
$$x_{50} = -28.9930851119168$$
$$x_{1} = -104.985557061373$$
$$x_{2} = -52.985557096468$$
$$x_{3} = -68.9855570613828$$
$$x_{4} = -96.9855570613729$$
$$x_{5} = -94.9855570613729$$
$$x_{6} = -100.985557061373$$
$$x_{7} = -56.9855570659212$$
$$x_{8} = -98.9855570613729$$
$$x_{9} = -32.9367772221347$$
$$x_{10} = -90.9855570613729$$
$$x_{11} = -32.9865185933132$$
$$x_{12} = -66.9855570614004$$
$$x_{13} = -34.9859028145641$$
$$x_{14} = -36.9856814859561$$
$$x_{15} = -118.985557061373$$
$$x_{16} = -116.985557061373$$
$$x_{17} = -70.9855570613764$$
$$x_{18} = -38.9856018487484$$
$$x_{19} = -76.985557061373$$
$$x_{20} = -50.9855571588594$$
$$x_{21} = -46.9855578135842$$
$$x_{22} = -40.9855731841808$$
$$x_{23} = -30.98823750091$$
$$x_{24} = -78.9855570613729$$
$$x_{25} = -82.9855570613729$$
$$x_{26} = -80.9855570613729$$
$$x_{27} = -42.9855628655068$$
$$x_{28} = -74.9855570613733$$
$$x_{29} = -112.985557061373$$
$$x_{30} = -86.9855570613729$$
$$x_{31} = -110.985557061373$$
$$x_{32} = -84.9855570613729$$
$$x_{33} = 2$$
$$x_{34} = -64.9855570614493$$
$$x_{35} = -92.9855570613729$$
$$x_{36} = -108.985557061373$$
$$x_{37} = -88.9855570613729$$
$$x_{38} = -72.9855570613742$$
$$x_{39} = -48.9855573321688$$
$$x_{40} = -106.985557061373$$
$$x_{41} = -62.9855570615851$$
$$x_{42} = -27.0071877297463$$
$$x_{43} = -114.985557061373$$
$$x_{44} = -60.9855570619623$$
$$x_{45} = -44.9855591508519$$
$$x_{46} = -58.9855570630103$$
$$x_{47} = 0$$
$$x_{48} = -54.9855570740071$$
$$x_{49} = -102.985557061373$$
$$x_{50} = -28.9930851119168$$
Las raíces dadas
$$x_{15} = -118.985557061373$$
$$x_{16} = -116.985557061373$$
$$x_{43} = -114.985557061373$$
$$x_{29} = -112.985557061373$$
$$x_{31} = -110.985557061373$$
$$x_{36} = -108.985557061373$$
$$x_{40} = -106.985557061373$$
$$x_{1} = -104.985557061373$$
$$x_{49} = -102.985557061373$$
$$x_{6} = -100.985557061373$$
$$x_{8} = -98.9855570613729$$
$$x_{4} = -96.9855570613729$$
$$x_{5} = -94.9855570613729$$
$$x_{35} = -92.9855570613729$$
$$x_{10} = -90.9855570613729$$
$$x_{37} = -88.9855570613729$$
$$x_{30} = -86.9855570613729$$
$$x_{32} = -84.9855570613729$$
$$x_{25} = -82.9855570613729$$
$$x_{26} = -80.9855570613729$$
$$x_{24} = -78.9855570613729$$
$$x_{19} = -76.985557061373$$
$$x_{28} = -74.9855570613733$$
$$x_{38} = -72.9855570613742$$
$$x_{17} = -70.9855570613764$$
$$x_{3} = -68.9855570613828$$
$$x_{12} = -66.9855570614004$$
$$x_{34} = -64.9855570614493$$
$$x_{41} = -62.9855570615851$$
$$x_{44} = -60.9855570619623$$
$$x_{46} = -58.9855570630103$$
$$x_{7} = -56.9855570659212$$
$$x_{48} = -54.9855570740071$$
$$x_{2} = -52.985557096468$$
$$x_{20} = -50.9855571588594$$
$$x_{39} = -48.9855573321688$$
$$x_{21} = -46.9855578135842$$
$$x_{45} = -44.9855591508519$$
$$x_{27} = -42.9855628655068$$
$$x_{22} = -40.9855731841808$$
$$x_{18} = -38.9856018487484$$
$$x_{14} = -36.9856814859561$$
$$x_{13} = -34.9859028145641$$
$$x_{11} = -32.9865185933132$$
$$x_{9} = -32.9367772221347$$
$$x_{23} = -30.98823750091$$
$$x_{50} = -28.9930851119168$$
$$x_{42} = -27.0071877297463$$
$$x_{47} = 0$$
$$x_{33} = 2$$
son puntos de cambio del signo de desigualdad en las soluciones.
Primero definámonos con el signo hasta el punto extremo izquierdo:
$$x_{0} \leq x_{15}$$
Consideremos, por ejemplo, el punto
$$x_{0} = x_{15} - \frac{1}{10}$$
=
$$-118.985557061373 + - \frac{1}{10}$$
=
$$-119.085557061373$$
lo sustituimos en la expresión
$$- 3^{x + 2} + \left(9 \cdot 5^{x} + \left(28 \cdot 9^{x} + \left(- 28 \cdot 15^{x} + \left(- 3 \cdot 27^{x} + 3 \cdot 45^{x}\right)\right)\right)\right) \leq 0$$
$$- 3^{-119.085557061373 + 2} + \left(\left(\left(- \frac{28}{15^{119.085557061373}} + \left(- \frac{3}{27^{119.085557061373}} + \frac{3}{45^{119.085557061373}}\right)\right) + \frac{28}{9^{119.085557061373}}\right) + \frac{9}{5^{119.085557061373}}\right) \leq 0$$
significa que una de las soluciones de nuestra ecuación será con:
$$x \leq -118.985557061373$$
Recibiremos otras soluciones de la desigualdad pasando al polo siguiente etc.
etc.
Respuesta:
$$x \leq -118.985557061373$$
$$x \geq -116.985557061373 \wedge x \leq -114.985557061373$$
$$x \geq -112.985557061373 \wedge x \leq -110.985557061373$$
$$x \geq -108.985557061373 \wedge x \leq -106.985557061373$$
$$x \geq -104.985557061373 \wedge x \leq -102.985557061373$$
$$x \geq -100.985557061373 \wedge x \leq -98.9855570613729$$
$$x \geq -96.9855570613729 \wedge x \leq -94.9855570613729$$
$$x \geq -92.9855570613729 \wedge x \leq -90.9855570613729$$
$$x \geq -88.9855570613729 \wedge x \leq -86.9855570613729$$
$$x \geq -84.9855570613729 \wedge x \leq -82.9855570613729$$
$$x \geq -80.9855570613729 \wedge x \leq -78.9855570613729$$
$$x \geq -76.985557061373 \wedge x \leq -74.9855570613733$$
$$x \geq -72.9855570613742 \wedge x \leq -70.9855570613764$$
$$x \geq -68.9855570613828 \wedge x \leq -66.9855570614004$$
$$x \geq -64.9855570614493 \wedge x \leq -62.9855570615851$$
$$x \geq -60.9855570619623 \wedge x \leq -58.9855570630103$$
$$x \geq -56.9855570659212 \wedge x \leq -54.9855570740071$$
$$x \geq -52.985557096468 \wedge x \leq -50.9855571588594$$
$$x \geq -48.9855573321688 \wedge x \leq -46.9855578135842$$
$$x \geq -44.9855591508519 \wedge x \leq -42.9855628655068$$
$$x \geq -40.9855731841808 \wedge x \leq -38.9856018487484$$
$$x \geq -36.9856814859561 \wedge x \leq -34.9859028145641$$
$$x \geq -32.9865185933132 \wedge x \leq -32.9367772221347$$
$$x \geq -30.98823750091 \wedge x \leq -28.9930851119168$$
$$x \geq -27.0071877297463 \wedge x \leq 0$$
$$x \geq 2$$
$$- 3^{x + 2} + \left(9 \cdot 5^{x} + \left(28 \cdot 9^{x} + \left(- 28 \cdot 15^{x} + \left(- 3 \cdot 27^{x} + 3 \cdot 45^{x}\right)\right)\right)\right) \leq 0$$
Para resolver esta desigualdad primero hay que resolver la ecuación correspondiente:
$$- 3^{x + 2} + \left(9 \cdot 5^{x} + \left(28 \cdot 9^{x} + \left(- 28 \cdot 15^{x} + \left(- 3 \cdot 27^{x} + 3 \cdot 45^{x}\right)\right)\right)\right) = 0$$
Resolvemos:
$$x_{1} = -104.985557061373$$
$$x_{2} = -52.985557096468$$
$$x_{3} = -68.9855570613828$$
$$x_{4} = -96.9855570613729$$
$$x_{5} = -94.9855570613729$$
$$x_{6} = -100.985557061373$$
$$x_{7} = -56.9855570659212$$
$$x_{8} = -98.9855570613729$$
$$x_{9} = -32.9367772221347$$
$$x_{10} = -90.9855570613729$$
$$x_{11} = -32.9865185933132$$
$$x_{12} = -66.9855570614004$$
$$x_{13} = -34.9859028145641$$
$$x_{14} = -36.9856814859561$$
$$x_{15} = -118.985557061373$$
$$x_{16} = -116.985557061373$$
$$x_{17} = -70.9855570613764$$
$$x_{18} = -38.9856018487484$$
$$x_{19} = -76.985557061373$$
$$x_{20} = -50.9855571588594$$
$$x_{21} = -46.9855578135842$$
$$x_{22} = -40.9855731841808$$
$$x_{23} = -30.98823750091$$
$$x_{24} = -78.9855570613729$$
$$x_{25} = -82.9855570613729$$
$$x_{26} = -80.9855570613729$$
$$x_{27} = -42.9855628655068$$
$$x_{28} = -74.9855570613733$$
$$x_{29} = -112.985557061373$$
$$x_{30} = -86.9855570613729$$
$$x_{31} = -110.985557061373$$
$$x_{32} = -84.9855570613729$$
$$x_{33} = 2$$
$$x_{34} = -64.9855570614493$$
$$x_{35} = -92.9855570613729$$
$$x_{36} = -108.985557061373$$
$$x_{37} = -88.9855570613729$$
$$x_{38} = -72.9855570613742$$
$$x_{39} = -48.9855573321688$$
$$x_{40} = -106.985557061373$$
$$x_{41} = -62.9855570615851$$
$$x_{42} = -27.0071877297463$$
$$x_{43} = -114.985557061373$$
$$x_{44} = -60.9855570619623$$
$$x_{45} = -44.9855591508519$$
$$x_{46} = -58.9855570630103$$
$$x_{47} = 0$$
$$x_{48} = -54.9855570740071$$
$$x_{49} = -102.985557061373$$
$$x_{50} = -28.9930851119168$$
$$x_{1} = -104.985557061373$$
$$x_{2} = -52.985557096468$$
$$x_{3} = -68.9855570613828$$
$$x_{4} = -96.9855570613729$$
$$x_{5} = -94.9855570613729$$
$$x_{6} = -100.985557061373$$
$$x_{7} = -56.9855570659212$$
$$x_{8} = -98.9855570613729$$
$$x_{9} = -32.9367772221347$$
$$x_{10} = -90.9855570613729$$
$$x_{11} = -32.9865185933132$$
$$x_{12} = -66.9855570614004$$
$$x_{13} = -34.9859028145641$$
$$x_{14} = -36.9856814859561$$
$$x_{15} = -118.985557061373$$
$$x_{16} = -116.985557061373$$
$$x_{17} = -70.9855570613764$$
$$x_{18} = -38.9856018487484$$
$$x_{19} = -76.985557061373$$
$$x_{20} = -50.9855571588594$$
$$x_{21} = -46.9855578135842$$
$$x_{22} = -40.9855731841808$$
$$x_{23} = -30.98823750091$$
$$x_{24} = -78.9855570613729$$
$$x_{25} = -82.9855570613729$$
$$x_{26} = -80.9855570613729$$
$$x_{27} = -42.9855628655068$$
$$x_{28} = -74.9855570613733$$
$$x_{29} = -112.985557061373$$
$$x_{30} = -86.9855570613729$$
$$x_{31} = -110.985557061373$$
$$x_{32} = -84.9855570613729$$
$$x_{33} = 2$$
$$x_{34} = -64.9855570614493$$
$$x_{35} = -92.9855570613729$$
$$x_{36} = -108.985557061373$$
$$x_{37} = -88.9855570613729$$
$$x_{38} = -72.9855570613742$$
$$x_{39} = -48.9855573321688$$
$$x_{40} = -106.985557061373$$
$$x_{41} = -62.9855570615851$$
$$x_{42} = -27.0071877297463$$
$$x_{43} = -114.985557061373$$
$$x_{44} = -60.9855570619623$$
$$x_{45} = -44.9855591508519$$
$$x_{46} = -58.9855570630103$$
$$x_{47} = 0$$
$$x_{48} = -54.9855570740071$$
$$x_{49} = -102.985557061373$$
$$x_{50} = -28.9930851119168$$
Las raíces dadas
$$x_{15} = -118.985557061373$$
$$x_{16} = -116.985557061373$$
$$x_{43} = -114.985557061373$$
$$x_{29} = -112.985557061373$$
$$x_{31} = -110.985557061373$$
$$x_{36} = -108.985557061373$$
$$x_{40} = -106.985557061373$$
$$x_{1} = -104.985557061373$$
$$x_{49} = -102.985557061373$$
$$x_{6} = -100.985557061373$$
$$x_{8} = -98.9855570613729$$
$$x_{4} = -96.9855570613729$$
$$x_{5} = -94.9855570613729$$
$$x_{35} = -92.9855570613729$$
$$x_{10} = -90.9855570613729$$
$$x_{37} = -88.9855570613729$$
$$x_{30} = -86.9855570613729$$
$$x_{32} = -84.9855570613729$$
$$x_{25} = -82.9855570613729$$
$$x_{26} = -80.9855570613729$$
$$x_{24} = -78.9855570613729$$
$$x_{19} = -76.985557061373$$
$$x_{28} = -74.9855570613733$$
$$x_{38} = -72.9855570613742$$
$$x_{17} = -70.9855570613764$$
$$x_{3} = -68.9855570613828$$
$$x_{12} = -66.9855570614004$$
$$x_{34} = -64.9855570614493$$
$$x_{41} = -62.9855570615851$$
$$x_{44} = -60.9855570619623$$
$$x_{46} = -58.9855570630103$$
$$x_{7} = -56.9855570659212$$
$$x_{48} = -54.9855570740071$$
$$x_{2} = -52.985557096468$$
$$x_{20} = -50.9855571588594$$
$$x_{39} = -48.9855573321688$$
$$x_{21} = -46.9855578135842$$
$$x_{45} = -44.9855591508519$$
$$x_{27} = -42.9855628655068$$
$$x_{22} = -40.9855731841808$$
$$x_{18} = -38.9856018487484$$
$$x_{14} = -36.9856814859561$$
$$x_{13} = -34.9859028145641$$
$$x_{11} = -32.9865185933132$$
$$x_{9} = -32.9367772221347$$
$$x_{23} = -30.98823750091$$
$$x_{50} = -28.9930851119168$$
$$x_{42} = -27.0071877297463$$
$$x_{47} = 0$$
$$x_{33} = 2$$
son puntos de cambio del signo de desigualdad en las soluciones.
Primero definámonos con el signo hasta el punto extremo izquierdo:
$$x_{0} \leq x_{15}$$
Consideremos, por ejemplo, el punto
$$x_{0} = x_{15} - \frac{1}{10}$$
=
$$-118.985557061373 + - \frac{1}{10}$$
=
$$-119.085557061373$$
lo sustituimos en la expresión
$$- 3^{x + 2} + \left(9 \cdot 5^{x} + \left(28 \cdot 9^{x} + \left(- 28 \cdot 15^{x} + \left(- 3 \cdot 27^{x} + 3 \cdot 45^{x}\right)\right)\right)\right) \leq 0$$
$$- 3^{-119.085557061373 + 2} + \left(\left(\left(- \frac{28}{15^{119.085557061373}} + \left(- \frac{3}{27^{119.085557061373}} + \frac{3}{45^{119.085557061373}}\right)\right) + \frac{28}{9^{119.085557061373}}\right) + \frac{9}{5^{119.085557061373}}\right) \leq 0$$
-1.36770396303383e-56 <= 0
significa que una de las soluciones de nuestra ecuación será con:
$$x \leq -118.985557061373$$
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x15 x16 x43 x29 x31 x36 x40 x1 x49 x6 x8 x4 x5 x35 x10 x37 x30 x32 x25 x26 x24 x19 x28 x38 x17 x3 x12 x34 x41 x44 x46 x7 x48 x2 x20 x39 x21 x45 x27 x22 x18 x14 x13 x11 x9 x23 x50 x42 x47 x33Recibiremos otras soluciones de la desigualdad pasando al polo siguiente etc.
etc.
Respuesta:
$$x \leq -118.985557061373$$
$$x \geq -116.985557061373 \wedge x \leq -114.985557061373$$
$$x \geq -112.985557061373 \wedge x \leq -110.985557061373$$
$$x \geq -108.985557061373 \wedge x \leq -106.985557061373$$
$$x \geq -104.985557061373 \wedge x \leq -102.985557061373$$
$$x \geq -100.985557061373 \wedge x \leq -98.9855570613729$$
$$x \geq -96.9855570613729 \wedge x \leq -94.9855570613729$$
$$x \geq -92.9855570613729 \wedge x \leq -90.9855570613729$$
$$x \geq -88.9855570613729 \wedge x \leq -86.9855570613729$$
$$x \geq -84.9855570613729 \wedge x \leq -82.9855570613729$$
$$x \geq -80.9855570613729 \wedge x \leq -78.9855570613729$$
$$x \geq -76.985557061373 \wedge x \leq -74.9855570613733$$
$$x \geq -72.9855570613742 \wedge x \leq -70.9855570613764$$
$$x \geq -68.9855570613828 \wedge x \leq -66.9855570614004$$
$$x \geq -64.9855570614493 \wedge x \leq -62.9855570615851$$
$$x \geq -60.9855570619623 \wedge x \leq -58.9855570630103$$
$$x \geq -56.9855570659212 \wedge x \leq -54.9855570740071$$
$$x \geq -52.985557096468 \wedge x \leq -50.9855571588594$$
$$x \geq -48.9855573321688 \wedge x \leq -46.9855578135842$$
$$x \geq -44.9855591508519 \wedge x \leq -42.9855628655068$$
$$x \geq -40.9855731841808 \wedge x \leq -38.9856018487484$$
$$x \geq -36.9856814859561 \wedge x \leq -34.9859028145641$$
$$x \geq -32.9865185933132 \wedge x \leq -32.9367772221347$$
$$x \geq -30.98823750091 \wedge x \leq -28.9930851119168$$
$$x \geq -27.0071877297463 \wedge x \leq 0$$
$$x \geq 2$$
Solución de la desigualdad en el gráfico
Gráfico