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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 > -745.763827Your problem has not been solved here? Please take a look at the hot problems !