Se da la desigualdad:
$$\frac{\left|{\left(x^{2} + 2 x\right) - 3}\right| - \left|{\left(x^{2} + 3 x\right) + 5}\right|}{2 x + 1} \geq 0$$
Para resolver esta desigualdad primero hay que resolver la ecuación correspondiente:
$$\frac{\left|{\left(x^{2} + 2 x\right) - 3}\right| - \left|{\left(x^{2} + 3 x\right) + 5}\right|}{2 x + 1} = 0$$
Resolvemos:
$$x_{1} = -1.95405069330346 \cdot 10^{27}$$
$$x_{2} = 2.54579410391082 \cdot 10^{27}$$
$$x_{3} = -2.63081130633676 \cdot 10^{28}$$
$$x_{4} = -2.61121708571521 \cdot 10^{27}$$
$$x_{5} = 1.48703940920165 \cdot 10^{28}$$
$$x_{6} = 3.12716268907317 \cdot 10^{27}$$
$$x_{7} = 1.231130032026 \cdot 10^{28}$$
$$x_{8} = -2.57925780395489 \cdot 10^{27}$$
$$x_{9} = -7.05011055595242 \cdot 10^{29}$$
$$x_{10} = 3.25718657182895 \cdot 10^{27}$$
$$x_{11} = -2.59808960525448 \cdot 10^{27}$$
$$x_{12} = 1.85937020925685 \cdot 10^{27}$$
$$x_{13} = -1.92409277306365 \cdot 10^{28}$$
$$x_{14} = -2.6927941370426 \cdot 10^{27}$$
$$x_{15} = 8.8310132386129 \cdot 10^{27}$$
$$x_{16} = -2.47519697333255 \cdot 10^{27}$$
$$x_{17} = -2.11023213148206 \cdot 10^{27}$$
$$x_{18} = -5.67508116009299 \cdot 10^{27}$$
$$x_{19} = -5.43958515217379 \cdot 10^{27}$$
$$x_{20} = 6.48845127786992 \cdot 10^{27}$$
$$x_{21} = -2.3237998820132 \cdot 10^{27}$$
$$x_{22} = -6.42084758314786 \cdot 10^{27}$$
$$x_{23} = -2.37582494964218 \cdot 10^{27}$$
$$x_{24} = -2.97270414433683 \cdot 10^{28}$$
$$x_{25} = -2.70225656537612 \cdot 10^{27}$$
$$x_{26} = -3.31932176267719 \cdot 10^{27}$$
$$x_{27} = -3.22676012869693 \cdot 10^{27}$$
$$x_{28} = -3.2933986887352 \cdot 10^{27}$$
$$x_{29} = -2.5940374552235 \cdot 10^{27}$$
$$x_{30} = 1.05144750639612 \cdot 10^{28}$$
$$x_{31} = 2.98970090950884 \cdot 10^{27}$$
$$x_{32} = -7.13028988841465 \cdot 10^{27}$$
$$x_{33} = -7.90050033925401 \cdot 10^{27}$$
$$x_{34} = 5.72132829771297 \cdot 10^{27}$$
$$x_{35} = 2.04871961300734 \cdot 10^{27}$$
$$x_{36} = 3.9111978991957 \cdot 10^{28}$$
$$x_{37} = -2.39152458894896 \cdot 10^{27}$$
$$x_{38} = 1.29731362015037 \cdot 10^{28}$$
$$x_{39} = -2.66750248226853 \cdot 10^{27}$$
$$x_{40} = -2.63151712439039 \cdot 10^{27}$$
$$x_{41} = -3.14413392897046 \cdot 10^{28}$$
$$x_{42} = -1.93979407261706 \cdot 10^{27}$$
$$x_{43} = -6.48081755204532 \cdot 10^{27}$$
$$x_{44} = -2.03343076391742 \cdot 10^{27}$$
$$x_{45} = -2.21402535619613 \cdot 10^{27}$$
$$x_{46} = -2.16694861091914 \cdot 10^{27}$$
$$x_{47} = 2.42413078653358 \cdot 10^{27}$$
$$x_{48} = 1.87338991553252 \cdot 10^{27}$$
$$x_{49} = 2.77541301093959 \cdot 10^{27}$$
$$x_{50} = 2.22481368360706 \cdot 10^{27}$$
$$x_{51} = 1.92520870577695 \cdot 10^{27}$$
$$x_{52} = -3.09025631102792 \cdot 10^{27}$$
$$x_{53} = 2.94642481358235 \cdot 10^{27}$$
$$x_{54} = 5.59980407667235 \cdot 10^{27}$$
$$x_{55} = 6.46971139040388 \cdot 10^{27}$$
$$x_{56} = 1.95710640189323 \cdot 10^{27}$$
$$x_{57} = 1.85759226495552 \cdot 10^{27}$$
$$x_{58} = -3.4693975581666 \cdot 10^{27}$$
$$x_{59} = 1.76966987845068 \cdot 10^{27}$$
$$x_{60} = 1.04838161409365 \cdot 10^{28}$$
$$x_{61} = -2.09621125237983 \cdot 10^{27}$$
$$x_{62} = -2.11074420754128 \cdot 10^{27}$$
$$x_{63} = 2.39718029015783 \cdot 10^{27}$$
$$x_{64} = -2.37242692640783 \cdot 10^{27}$$
$$x_{65} = 5.75490901114006 \cdot 10^{27}$$
$$x_{66} = -2.62078283065671 \cdot 10^{27}$$
$$x_{67} = -2.7090267569992 \cdot 10^{27}$$
$$x_{68} = 2.32619987272766 \cdot 10^{27}$$
$$x_{69} = -2.24125114394918 \cdot 10^{27}$$
$$x_{70} = 3.11997006197887 \cdot 10^{27}$$
$$x_{71} = -9.45213572312392 \cdot 10^{26}$$
$$x_{72} = -2.71562140376351 \cdot 10^{28}$$
$$x_{73} = -2$$
$$x_{74} = -3.66370188744021 \cdot 10^{28}$$
$$x_{75} = 1.0334067041798 \cdot 10^{28}$$
$$x_{76} = 5.9766387269034 \cdot 10^{28}$$
$$x_{77} = -1.79491304012314 \cdot 10^{27}$$
$$x_{78} = -9.48427110315868 \cdot 10^{27}$$
$$x_{79} = -1.9843934840689 \cdot 10^{27}$$
$$x_{80} = 2.98599998329738 \cdot 10^{27}$$
$$x_{81} = 1.31282095742032 \cdot 10^{28}$$
$$x_{82} = -2.59608447662513 \cdot 10^{27}$$
$$x_{83} = -8$$
$$x_{84} = -1.14446979050149 \cdot 10^{28}$$
$$x_{85} = -2.6809222405054 \cdot 10^{27}$$
$$x_{86} = 2.76967526786214 \cdot 10^{27}$$
$$x_{87} = 3.19483438865934 \cdot 10^{27}$$
$$x_{88} = -3.26880305587714 \cdot 10^{27}$$
$$x_{89} = -3.45076021307933 \cdot 10^{27}$$
$$x_{90} = -1.69280352862489 \cdot 10^{28}$$
$$x_{91} = 8.58685222643755 \cdot 10^{27}$$
$$x_{92} = -1.14845694164364 \cdot 10^{28}$$
$$x_{93} = -1.10545177157892 \cdot 10^{28}$$
$$x_{94} = -2.01269029219963 \cdot 10^{27}$$
$$x_{95} = 2.18985545849971 \cdot 10^{28}$$
$$x_{1} = -1.95405069330346 \cdot 10^{27}$$
$$x_{2} = 2.54579410391082 \cdot 10^{27}$$
$$x_{3} = -2.63081130633676 \cdot 10^{28}$$
$$x_{4} = -2.61121708571521 \cdot 10^{27}$$
$$x_{5} = 1.48703940920165 \cdot 10^{28}$$
$$x_{6} = 3.12716268907317 \cdot 10^{27}$$
$$x_{7} = 1.231130032026 \cdot 10^{28}$$
$$x_{8} = -2.57925780395489 \cdot 10^{27}$$
$$x_{9} = -7.05011055595242 \cdot 10^{29}$$
$$x_{10} = 3.25718657182895 \cdot 10^{27}$$
$$x_{11} = -2.59808960525448 \cdot 10^{27}$$
$$x_{12} = 1.85937020925685 \cdot 10^{27}$$
$$x_{13} = -1.92409277306365 \cdot 10^{28}$$
$$x_{14} = -2.6927941370426 \cdot 10^{27}$$
$$x_{15} = 8.8310132386129 \cdot 10^{27}$$
$$x_{16} = -2.47519697333255 \cdot 10^{27}$$
$$x_{17} = -2.11023213148206 \cdot 10^{27}$$
$$x_{18} = -5.67508116009299 \cdot 10^{27}$$
$$x_{19} = -5.43958515217379 \cdot 10^{27}$$
$$x_{20} = 6.48845127786992 \cdot 10^{27}$$
$$x_{21} = -2.3237998820132 \cdot 10^{27}$$
$$x_{22} = -6.42084758314786 \cdot 10^{27}$$
$$x_{23} = -2.37582494964218 \cdot 10^{27}$$
$$x_{24} = -2.97270414433683 \cdot 10^{28}$$
$$x_{25} = -2.70225656537612 \cdot 10^{27}$$
$$x_{26} = -3.31932176267719 \cdot 10^{27}$$
$$x_{27} = -3.22676012869693 \cdot 10^{27}$$
$$x_{28} = -3.2933986887352 \cdot 10^{27}$$
$$x_{29} = -2.5940374552235 \cdot 10^{27}$$
$$x_{30} = 1.05144750639612 \cdot 10^{28}$$
$$x_{31} = 2.98970090950884 \cdot 10^{27}$$
$$x_{32} = -7.13028988841465 \cdot 10^{27}$$
$$x_{33} = -7.90050033925401 \cdot 10^{27}$$
$$x_{34} = 5.72132829771297 \cdot 10^{27}$$
$$x_{35} = 2.04871961300734 \cdot 10^{27}$$
$$x_{36} = 3.9111978991957 \cdot 10^{28}$$
$$x_{37} = -2.39152458894896 \cdot 10^{27}$$
$$x_{38} = 1.29731362015037 \cdot 10^{28}$$
$$x_{39} = -2.66750248226853 \cdot 10^{27}$$
$$x_{40} = -2.63151712439039 \cdot 10^{27}$$
$$x_{41} = -3.14413392897046 \cdot 10^{28}$$
$$x_{42} = -1.93979407261706 \cdot 10^{27}$$
$$x_{43} = -6.48081755204532 \cdot 10^{27}$$
$$x_{44} = -2.03343076391742 \cdot 10^{27}$$
$$x_{45} = -2.21402535619613 \cdot 10^{27}$$
$$x_{46} = -2.16694861091914 \cdot 10^{27}$$
$$x_{47} = 2.42413078653358 \cdot 10^{27}$$
$$x_{48} = 1.87338991553252 \cdot 10^{27}$$
$$x_{49} = 2.77541301093959 \cdot 10^{27}$$
$$x_{50} = 2.22481368360706 \cdot 10^{27}$$
$$x_{51} = 1.92520870577695 \cdot 10^{27}$$
$$x_{52} = -3.09025631102792 \cdot 10^{27}$$
$$x_{53} = 2.94642481358235 \cdot 10^{27}$$
$$x_{54} = 5.59980407667235 \cdot 10^{27}$$
$$x_{55} = 6.46971139040388 \cdot 10^{27}$$
$$x_{56} = 1.95710640189323 \cdot 10^{27}$$
$$x_{57} = 1.85759226495552 \cdot 10^{27}$$
$$x_{58} = -3.4693975581666 \cdot 10^{27}$$
$$x_{59} = 1.76966987845068 \cdot 10^{27}$$
$$x_{60} = 1.04838161409365 \cdot 10^{28}$$
$$x_{61} = -2.09621125237983 \cdot 10^{27}$$
$$x_{62} = -2.11074420754128 \cdot 10^{27}$$
$$x_{63} = 2.39718029015783 \cdot 10^{27}$$
$$x_{64} = -2.37242692640783 \cdot 10^{27}$$
$$x_{65} = 5.75490901114006 \cdot 10^{27}$$
$$x_{66} = -2.62078283065671 \cdot 10^{27}$$
$$x_{67} = -2.7090267569992 \cdot 10^{27}$$
$$x_{68} = 2.32619987272766 \cdot 10^{27}$$
$$x_{69} = -2.24125114394918 \cdot 10^{27}$$
$$x_{70} = 3.11997006197887 \cdot 10^{27}$$
$$x_{71} = -9.45213572312392 \cdot 10^{26}$$
$$x_{72} = -2.71562140376351 \cdot 10^{28}$$
$$x_{73} = -2$$
$$x_{74} = -3.66370188744021 \cdot 10^{28}$$
$$x_{75} = 1.0334067041798 \cdot 10^{28}$$
$$x_{76} = 5.9766387269034 \cdot 10^{28}$$
$$x_{77} = -1.79491304012314 \cdot 10^{27}$$
$$x_{78} = -9.48427110315868 \cdot 10^{27}$$
$$x_{79} = -1.9843934840689 \cdot 10^{27}$$
$$x_{80} = 2.98599998329738 \cdot 10^{27}$$
$$x_{81} = 1.31282095742032 \cdot 10^{28}$$
$$x_{82} = -2.59608447662513 \cdot 10^{27}$$
$$x_{83} = -8$$
$$x_{84} = -1.14446979050149 \cdot 10^{28}$$
$$x_{85} = -2.6809222405054 \cdot 10^{27}$$
$$x_{86} = 2.76967526786214 \cdot 10^{27}$$
$$x_{87} = 3.19483438865934 \cdot 10^{27}$$
$$x_{88} = -3.26880305587714 \cdot 10^{27}$$
$$x_{89} = -3.45076021307933 \cdot 10^{27}$$
$$x_{90} = -1.69280352862489 \cdot 10^{28}$$
$$x_{91} = 8.58685222643755 \cdot 10^{27}$$
$$x_{92} = -1.14845694164364 \cdot 10^{28}$$
$$x_{93} = -1.10545177157892 \cdot 10^{28}$$
$$x_{94} = -2.01269029219963 \cdot 10^{27}$$
$$x_{95} = 2.18985545849971 \cdot 10^{28}$$
Las raíces dadas
$$x_{9} = -7.05011055595242 \cdot 10^{29}$$
$$x_{74} = -3.66370188744021 \cdot 10^{28}$$
$$x_{41} = -3.14413392897046 \cdot 10^{28}$$
$$x_{24} = -2.97270414433683 \cdot 10^{28}$$
$$x_{72} = -2.71562140376351 \cdot 10^{28}$$
$$x_{3} = -2.63081130633676 \cdot 10^{28}$$
$$x_{13} = -1.92409277306365 \cdot 10^{28}$$
$$x_{90} = -1.69280352862489 \cdot 10^{28}$$
$$x_{92} = -1.14845694164364 \cdot 10^{28}$$
$$x_{84} = -1.14446979050149 \cdot 10^{28}$$
$$x_{93} = -1.10545177157892 \cdot 10^{28}$$
$$x_{78} = -9.48427110315868 \cdot 10^{27}$$
$$x_{33} = -7.90050033925401 \cdot 10^{27}$$
$$x_{32} = -7.13028988841465 \cdot 10^{27}$$
$$x_{43} = -6.48081755204532 \cdot 10^{27}$$
$$x_{22} = -6.42084758314786 \cdot 10^{27}$$
$$x_{18} = -5.67508116009299 \cdot 10^{27}$$
$$x_{19} = -5.43958515217379 \cdot 10^{27}$$
$$x_{58} = -3.4693975581666 \cdot 10^{27}$$
$$x_{89} = -3.45076021307933 \cdot 10^{27}$$
$$x_{26} = -3.31932176267719 \cdot 10^{27}$$
$$x_{28} = -3.2933986887352 \cdot 10^{27}$$
$$x_{88} = -3.26880305587714 \cdot 10^{27}$$
$$x_{27} = -3.22676012869693 \cdot 10^{27}$$
$$x_{52} = -3.09025631102792 \cdot 10^{27}$$
$$x_{67} = -2.7090267569992 \cdot 10^{27}$$
$$x_{25} = -2.70225656537612 \cdot 10^{27}$$
$$x_{14} = -2.6927941370426 \cdot 10^{27}$$
$$x_{85} = -2.6809222405054 \cdot 10^{27}$$
$$x_{39} = -2.66750248226853 \cdot 10^{27}$$
$$x_{40} = -2.63151712439039 \cdot 10^{27}$$
$$x_{66} = -2.62078283065671 \cdot 10^{27}$$
$$x_{4} = -2.61121708571521 \cdot 10^{27}$$
$$x_{11} = -2.59808960525448 \cdot 10^{27}$$
$$x_{82} = -2.59608447662513 \cdot 10^{27}$$
$$x_{29} = -2.5940374552235 \cdot 10^{27}$$
$$x_{8} = -2.57925780395489 \cdot 10^{27}$$
$$x_{16} = -2.47519697333255 \cdot 10^{27}$$
$$x_{37} = -2.39152458894896 \cdot 10^{27}$$
$$x_{23} = -2.37582494964218 \cdot 10^{27}$$
$$x_{64} = -2.37242692640783 \cdot 10^{27}$$
$$x_{21} = -2.3237998820132 \cdot 10^{27}$$
$$x_{69} = -2.24125114394918 \cdot 10^{27}$$
$$x_{45} = -2.21402535619613 \cdot 10^{27}$$
$$x_{46} = -2.16694861091914 \cdot 10^{27}$$
$$x_{62} = -2.11074420754128 \cdot 10^{27}$$
$$x_{17} = -2.11023213148206 \cdot 10^{27}$$
$$x_{61} = -2.09621125237983 \cdot 10^{27}$$
$$x_{44} = -2.03343076391742 \cdot 10^{27}$$
$$x_{94} = -2.01269029219963 \cdot 10^{27}$$
$$x_{79} = -1.9843934840689 \cdot 10^{27}$$
$$x_{1} = -1.95405069330346 \cdot 10^{27}$$
$$x_{42} = -1.93979407261706 \cdot 10^{27}$$
$$x_{77} = -1.79491304012314 \cdot 10^{27}$$
$$x_{71} = -9.45213572312392 \cdot 10^{26}$$
$$x_{83} = -8$$
$$x_{73} = -2$$
$$x_{59} = 1.76966987845068 \cdot 10^{27}$$
$$x_{57} = 1.85759226495552 \cdot 10^{27}$$
$$x_{12} = 1.85937020925685 \cdot 10^{27}$$
$$x_{48} = 1.87338991553252 \cdot 10^{27}$$
$$x_{51} = 1.92520870577695 \cdot 10^{27}$$
$$x_{56} = 1.95710640189323 \cdot 10^{27}$$
$$x_{35} = 2.04871961300734 \cdot 10^{27}$$
$$x_{50} = 2.22481368360706 \cdot 10^{27}$$
$$x_{68} = 2.32619987272766 \cdot 10^{27}$$
$$x_{63} = 2.39718029015783 \cdot 10^{27}$$
$$x_{47} = 2.42413078653358 \cdot 10^{27}$$
$$x_{2} = 2.54579410391082 \cdot 10^{27}$$
$$x_{86} = 2.76967526786214 \cdot 10^{27}$$
$$x_{49} = 2.77541301093959 \cdot 10^{27}$$
$$x_{53} = 2.94642481358235 \cdot 10^{27}$$
$$x_{80} = 2.98599998329738 \cdot 10^{27}$$
$$x_{31} = 2.98970090950884 \cdot 10^{27}$$
$$x_{70} = 3.11997006197887 \cdot 10^{27}$$
$$x_{6} = 3.12716268907317 \cdot 10^{27}$$
$$x_{87} = 3.19483438865934 \cdot 10^{27}$$
$$x_{10} = 3.25718657182895 \cdot 10^{27}$$
$$x_{54} = 5.59980407667235 \cdot 10^{27}$$
$$x_{34} = 5.72132829771297 \cdot 10^{27}$$
$$x_{65} = 5.75490901114006 \cdot 10^{27}$$
$$x_{55} = 6.46971139040388 \cdot 10^{27}$$
$$x_{20} = 6.48845127786992 \cdot 10^{27}$$
$$x_{91} = 8.58685222643755 \cdot 10^{27}$$
$$x_{15} = 8.8310132386129 \cdot 10^{27}$$
$$x_{75} = 1.0334067041798 \cdot 10^{28}$$
$$x_{60} = 1.04838161409365 \cdot 10^{28}$$
$$x_{30} = 1.05144750639612 \cdot 10^{28}$$
$$x_{7} = 1.231130032026 \cdot 10^{28}$$
$$x_{38} = 1.29731362015037 \cdot 10^{28}$$
$$x_{81} = 1.31282095742032 \cdot 10^{28}$$
$$x_{5} = 1.48703940920165 \cdot 10^{28}$$
$$x_{95} = 2.18985545849971 \cdot 10^{28}$$
$$x_{36} = 3.9111978991957 \cdot 10^{28}$$
$$x_{76} = 5.9766387269034 \cdot 10^{28}$$
son puntos de cambio del signo de desigualdad en las soluciones.
Primero definámonos con el signo hasta el punto extremo izquierdo:
$$x_{0} \leq x_{9}$$
Consideremos, por ejemplo, el punto
$$x_{0} = x_{9} - \frac{1}{10}$$
=
$$-7.05011055595242 \cdot 10^{29} + - \frac{1}{10}$$
=
$$-7.05011055595242 \cdot 10^{29}$$
lo sustituimos en la expresión
$$\frac{\left|{\left(x^{2} + 2 x\right) - 3}\right| - \left|{\left(x^{2} + 3 x\right) + 5}\right|}{2 x + 1} \geq 0$$
$$\frac{- \left|{5 + \left(\left(-7.05011055595242 \cdot 10^{29}\right) 3 + \left(-7.05011055595242 \cdot 10^{29}\right)^{2}\right)}\right| + \left|{-3 + \left(\left(-7.05011055595242 \cdot 10^{29}\right) 2 + \left(-7.05011055595242 \cdot 10^{29}\right)^{2}\right)}\right|}{\left(-7.05011055595242 \cdot 10^{29}\right) 2 + 1} \geq 0$$
0 >= 0
significa que una de las soluciones de nuestra ecuación será con:
$$x \leq -7.05011055595242 \cdot 10^{29}$$
_____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____
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x9 x74 x41 x24 x72 x3 x13 x90 x92 x84 x93 x78 x33 x32 x43 x22 x18 x19 x58 x89 x26 x28 x88 x27 x52 x67 x25 x14 x85 x39 x40 x66 x4 x11 x82 x29 x8 x16 x37 x23 x64 x21 x69 x45 x46 x62 x17 x61 x44 x94 x79 x1 x42 x77 x71 x83 x73 x59 x57 x12 x48 x51 x56 x35 x50 x68 x63 x47 x2 x86 x49 x53 x80 x31 x70 x6 x87 x10 x54 x34 x65 x55 x20 x91 x15 x75 x60 x30 x7 x38 x81 x5 x95 x36 x76
Recibiremos otras soluciones de la desigualdad pasando al polo siguiente etc.
etc.
Respuesta:
$$x \leq -7.05011055595242 \cdot 10^{29}$$
$$x \geq -3.66370188744021 \cdot 10^{28} \wedge x \leq -3.14413392897046 \cdot 10^{28}$$
$$x \geq -2.97270414433683 \cdot 10^{28} \wedge x \leq -2.71562140376351 \cdot 10^{28}$$
$$x \geq -2.63081130633676 \cdot 10^{28} \wedge x \leq -1.92409277306365 \cdot 10^{28}$$
$$x \geq -1.69280352862489 \cdot 10^{28} \wedge x \leq -1.14845694164364 \cdot 10^{28}$$
$$x \geq -1.14446979050149 \cdot 10^{28} \wedge x \leq -1.10545177157892 \cdot 10^{28}$$
$$x \geq -9.48427110315868 \cdot 10^{27} \wedge x \leq -7.90050033925401 \cdot 10^{27}$$
$$x \geq -7.13028988841465 \cdot 10^{27} \wedge x \leq -6.48081755204532 \cdot 10^{27}$$
$$x \geq -6.42084758314786 \cdot 10^{27} \wedge x \leq -5.67508116009299 \cdot 10^{27}$$
$$x \geq -5.43958515217379 \cdot 10^{27} \wedge x \leq -3.4693975581666 \cdot 10^{27}$$
$$x \geq -3.45076021307933 \cdot 10^{27} \wedge x \leq -3.31932176267719 \cdot 10^{27}$$
$$x \geq -3.2933986887352 \cdot 10^{27} \wedge x \leq -3.26880305587714 \cdot 10^{27}$$
$$x \geq -3.22676012869693 \cdot 10^{27} \wedge x \leq -3.09025631102792 \cdot 10^{27}$$
$$x \geq -2.7090267569992 \cdot 10^{27} \wedge x \leq -2.70225656537612 \cdot 10^{27}$$
$$x \geq -2.6927941370426 \cdot 10^{27} \wedge x \leq -2.6809222405054 \cdot 10^{27}$$
$$x \geq -2.66750248226853 \cdot 10^{27} \wedge x \leq -2.63151712439039 \cdot 10^{27}$$
$$x \geq -2.62078283065671 \cdot 10^{27} \wedge x \leq -2.61121708571521 \cdot 10^{27}$$
$$x \geq -2.59808960525448 \cdot 10^{27} \wedge x \leq -2.59608447662513 \cdot 10^{27}$$
$$x \geq -2.5940374552235 \cdot 10^{27} \wedge x \leq -2.57925780395489 \cdot 10^{27}$$
$$x \geq -2.47519697333255 \cdot 10^{27} \wedge x \leq -2.39152458894896 \cdot 10^{27}$$
$$x \geq -2.37582494964218 \cdot 10^{27} \wedge x \leq -2.37242692640783 \cdot 10^{27}$$
$$x \geq -2.3237998820132 \cdot 10^{27} \wedge x \leq -2.24125114394918 \cdot 10^{27}$$
$$x \geq -2.21402535619613 \cdot 10^{27} \wedge x \leq -2.16694861091914 \cdot 10^{27}$$
$$x \geq -2.11074420754128 \cdot 10^{27} \wedge x \leq -2.11023213148206 \cdot 10^{27}$$
$$x \geq -2.09621125237983 \cdot 10^{27} \wedge x \leq -2.03343076391742 \cdot 10^{27}$$
$$x \geq -2.01269029219963 \cdot 10^{27} \wedge x \leq -1.9843934840689 \cdot 10^{27}$$
$$x \geq -1.95405069330346 \cdot 10^{27} \wedge x \leq -1.93979407261706 \cdot 10^{27}$$
$$x \geq -1.79491304012314 \cdot 10^{27} \wedge x \leq -9.45213572312392 \cdot 10^{26}$$
$$x \geq -8 \wedge x \leq -2$$
$$x \geq 1.76966987845068 \cdot 10^{27} \wedge x \leq 1.85759226495552 \cdot 10^{27}$$
$$x \geq 1.85937020925685 \cdot 10^{27} \wedge x \leq 1.87338991553252 \cdot 10^{27}$$
$$x \geq 1.92520870577695 \cdot 10^{27} \wedge x \leq 1.95710640189323 \cdot 10^{27}$$
$$x \geq 2.04871961300734 \cdot 10^{27} \wedge x \leq 2.22481368360706 \cdot 10^{27}$$
$$x \geq 2.32619987272766 \cdot 10^{27} \wedge x \leq 2.39718029015783 \cdot 10^{27}$$
$$x \geq 2.42413078653358 \cdot 10^{27} \wedge x \leq 2.54579410391082 \cdot 10^{27}$$
$$x \geq 2.76967526786214 \cdot 10^{27} \wedge x \leq 2.77541301093959 \cdot 10^{27}$$
$$x \geq 2.94642481358235 \cdot 10^{27} \wedge x \leq 2.98599998329738 \cdot 10^{27}$$
$$x \geq 2.98970090950884 \cdot 10^{27} \wedge x \leq 3.11997006197887 \cdot 10^{27}$$
$$x \geq 3.12716268907317 \cdot 10^{27} \wedge x \leq 3.19483438865934 \cdot 10^{27}$$
$$x \geq 3.25718657182895 \cdot 10^{27} \wedge x \leq 5.59980407667235 \cdot 10^{27}$$
$$x \geq 5.72132829771297 \cdot 10^{27} \wedge x \leq 5.75490901114006 \cdot 10^{27}$$
$$x \geq 6.46971139040388 \cdot 10^{27} \wedge x \leq 6.48845127786992 \cdot 10^{27}$$
$$x \geq 8.58685222643755 \cdot 10^{27} \wedge x \leq 8.8310132386129 \cdot 10^{27}$$
$$x \geq 1.0334067041798 \cdot 10^{28} \wedge x \leq 1.04838161409365 \cdot 10^{28}$$
$$x \geq 1.05144750639612 \cdot 10^{28} \wedge x \leq 1.231130032026 \cdot 10^{28}$$
$$x \geq 1.29731362015037 \cdot 10^{28} \wedge x \leq 1.31282095742032 \cdot 10^{28}$$
$$x \geq 1.48703940920165 \cdot 10^{28} \wedge x \leq 2.18985545849971 \cdot 10^{28}$$
$$x \geq 3.9111978991957 \cdot 10^{28} \wedge x \leq 5.9766387269034 \cdot 10^{28}$$