Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality (3x-1)e^x-(4/(3e))(x-2) ) ) <0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 3 * x - 1 ) * e ^ x - ( 4 / ( 3 * e ( x - 2 ) ) ) <0         (1)
        From the definition field of divisor
         3 * e ( x - 2 ) ≠ 0        (2 )

    From inequality(1):
         x < 0.888646
    From inequality(2):
         x < -749.118642 或  -749.118642 < x < -748.559506 或  -748.559506 < x < -74800037/100000 或  -74800037/100000 < x < -747.441235 或  -747.441235 < x < -746.882099 或  -746.882099 < x < -746.322963 或  -746.322963 < x < -745.763827 或  -745.763827 < x < -745.204691 或  -745.204691 < x < -744.645556 或  -744.645556 < x < -37204321/50000 或  x > -37204321/50000

    From inequalities (1) and (2)
         x < -749.118642 或  -749.118642 < x < -748.559506 或  -748.559506 < x < -74800037/100000 或  -74800037/100000 < x < -747.441235 或  -747.441235 < x < -746.882099 或  -746.882099 < x < -746.322963 或  -746.322963 < x < -745.763827 或  -745.763827 < x < -745.204691 或  -745.204691 < x < -744.645556 或  -744.645556 < x < -37204321/50000 或  -37204321/50000 < x < 0.888646     (3)

    The final solution set is :

         x < -749.118642 或  -749.118642 < x < -748.559506 或  -748.559506 < x < -74800037/100000 或  -74800037/100000 < x < -747.441235 或  -747.441235 < x < -746.882099 或  -746.882099 < x < -746.322963 或  -746.322963 < x < -745.763827 或  -745.763827 < x < -745.204691 或  -745.204691 < x < -744.645556 或  -744.645556 < x < -37204321/50000 或  -37204321/50000 < x < 0.888646




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