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☆1 inequalities
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Assignment:Find the solution set of inequality 50-4*[(1+x)^4-1]/[x*(1+x)^4] >45/(1+x)^4 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
50 - 4 * ( ( 1 + x ) ^ 4 - 1 ) / ( x * ( 1 + x ) ^ 4 ) >45 / ( 1 + x ) ^ 4 (1)
From the definition field of divisor
x * ( 1 + x ) ^ 4 ≠ 0 (2 )
From the definition field of divisor
1 + x ≠ 0 (3 )
From inequality(1):
x < -1.975055 或 x > 0.05704
From inequality(2):
x < -1 或 -1 < x < 0 或 x > 0
From inequality(3):
x < -1 或 x > -1
From inequalities (1) and (2)
x < -1.975055 或 x > 0.05704 (4)
From inequalities (3) and (4)
x < -1.975055 或 x > 0.05704 (5)
The final solution set is :
x < -1.975055 或 x > 0.05704Your problem has not been solved here? Please take a look at the hot problems !