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 e^x+1/(e^x)+1 >1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         e ^ x + 1 / ( e ^ x ) + 1 >1         (1)
        From the definition field of divisor
         e ^ x ≠ 0        (2 )

    From inequality(1):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         x < -750.796049 或  -750.796049 < x < -750.236914 或  -750.236914 < x < -67471/90 或  -67471/90 < 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  x > -745.763827

    From inequalities (1) and (2)
         x < -750.796049 或  -750.796049 < x < -750.236914 或  -750.236914 < x < -67471/90 或  -67471/90 < 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  x > -745.763827    (3)

    The final solution set is :

         x < -750.796049 或  -750.796049 < x < -750.236914 或  -750.236914 < x < -67471/90 或  -67471/90 < 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  x > -745.763827




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