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Assignment:Find the solution set of inequality ln(1+1/x^3)-(1+x^3)^(1/3)+x >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
ln ( 1 + 1 / x ^ 3 ) - ( 1 + x ^ 3 ) ^ ( 1 / 3 ) + x >= 0 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of ln
1 + 1 / x ^ 3 > 0 (3 )
From inequality(1):
-0.0001 ≤ x ≤ 2.98152
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x < -1 或 x > -0.0001
From inequalities (1) and (2)
-0.0001 ≤ x < 0 或 0 < x ≤ 2.98152 (4)
From inequalities (3) and (4)
-0.0001 < x < 0 或 0 < x ≤ 2.98152 (5)
The final solution set is :
-0.0001 < x < 0 或 0 < x ≤ 2.98152 Your problem has not been solved here? Please take a look at the hot problems !