current location:Mathematical operation >
History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality ln(1+1/x^4)-(1+x^4)^(1/4)+x >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
ln ( 1 + 1 / x ^ 4 ) - ( 1 + x ^ 4 ) ^ ( 1 / 4 ) + x >= 0 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of ln
1 + 1 / x ^ 4 > 0 (3 )
From inequality(1):
-0.68111 ≤ x ≤ √15984381/1000
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
-0.68111 ≤ x < 0 或 0 < x ≤ √15984381/1000 (4)
From inequalities (3) and (4)
-0.68111 ≤ x < 0 或 0 < x ≤ √15984381/1000 (5)
The final solution set is :
-0.68111 ≤ x < 0 或 0 < x ≤ √15984381/1000 Your problem has not been solved here? Please take a look at the hot problems !