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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 ) + 1 ≠ 0 (2 )
From inequality(1):
-18760123/1000000 < x < -18440617/1000000 或 -4581449/250000 < x < -17162593/1000000 或 x > -17162593/1000000
From inequality(2):
x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
From inequalities (1) and (2)
-18760123/1000000 < x < -18440617/1000000 或 -4581449/250000 < x < -17162593/1000000 或 x > -17162593/1000000 (3)
The final solution set is :
-18760123/1000000 < x < -18440617/1000000 或 -4581449/250000 < x < -17162593/1000000 或 x > -17162593/1000000Your problem has not been solved here? Please take a look at the hot problems !