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☆1 inequalities
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Assignment:Find the solution set of inequality x㏑x-(2x-5/2)e^(1-x) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
x * ln x - ( 2 * x - 5 / 2 ) * e ^ ( 1 - x ) >0 (1)
From the definition field of ln
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 > 0
From inequalities (1) and (2)
x > 0 (3)
The final solution set is :
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