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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality e((lnx/x^(1/8))-0.5(x^0.25)) >1+x^(1/8) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
e ( ( ln x / x ^ ( 1 / 8 ) ) - 0.5 * ( x ^ 0.25 ) ) >1 + x ^ ( 1 / 8 ) (1)
From the definition field of ln
x > 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
10.425445 < x < 94.403859
From inequality(2):
x > 0
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
10.425445 < x < 94.403859 (4)
From inequalities (3) and (4)
10.425445 < x < 94.403859 (5)
The final solution set is :
10.425445 < x < 94.403859 Your problem has not been solved here? Please take a look at the hot problems !