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Assignment:Find the solution set of inequality 0.6 <((e^x)/(e*e)+x(1+lnx))/2*x*x ) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
0.6 < ( ( e ^ x ) / ( e * e + x * ( 1 + ln x ) ) / 2 * x * x ) (1)
From the definition field of ln
x > 0 (2 )
From the definition field of divisor
e * e + x * ( 1 + ln x ) ≠ 0 (3 )
From inequality(1):
x > 0.367879
From inequality(2):
x > 0
From inequality(3):
x < 0 或 0 < x < 0.367879 或 x > 0.367879
From inequalities (1) and (2)
x > 0.367879 (4)
From inequalities (3) and (4)
x > 0.367879 (5)
The final solution set is :
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