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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1 >((2+2x+2lnx)/(x^2+2x)) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 > ( ( 2 + 2 * x + 2 * ln x ) / ( x ^ 2 + 2 * x ) ) (1)
From the definition field of ln
x > 0 (2 )
From the definition field of divisor
x ^ 2 + 2 * x ≠ 0 (3 )
From inequality(1):
0 < x < 0.398239 或 x > 1.773751
From inequality(2):
x > 0
From inequality(3):
x < -2 或 -2 < x < 0 或 x > 0
From inequalities (1) and (2)
0 < x < 0.398239 或 x > 1.773751 (4)
From inequalities (3) and (4)
0 < x < 0.398239 或 x > 1.773751 (5)
The final solution set is :
0 < x < 0.398239 或 x > 1.773751Your problem has not been solved here? Please take a look at the hot problems !