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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 (16+4m^2+16m)/m^6-(8/m^2+4)*(((4+m^2+4m)/2m^4)-2) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 16 + 4 * m ^ 2 + 16 * m ) / m ^ 6 - ( 8 / m ^ 2 + 4 ) * ( ( ( 4 + m ^ 2 + 4 * m ) / 2 * m ^ 4 ) - 2 ) >0 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
-2.359342 < m < 1.015072
From inequality(2):
m < 0 或 m > 0
From inequality(3):
m < 0 或 m > 0
From inequalities (1) and (2)
-2.359342 < m < 0 或 0 < m < 1.015072 (4)
From inequalities (3) and (4)
-2.359342 < m < 0 或 0 < m < 1.015072 (5)
The final solution set is :
-2.359342 < m < 0 或 0 < m < 1.015072 Your problem has not been solved here? Please take a look at the hot problems !