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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 ln(1+1/x^2)-(1+x^2)^(1/2)+x >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
ln ( 1 + 1 / x ^ 2 ) - ( 1 + x ^ 2 ) ^ ( 1 / 2 ) + x >= 0 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of ln
1 + 1 / x ^ 2 > 0 (3 )
From inequality(1):
-0.498153 ≤ x ≤ 1.877759
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)
-0.498153 ≤ x < 0 或 0 < x ≤ 1.877759 (4)
From inequalities (3) and (4)
-0.498153 ≤ x < 0 或 0 < x ≤ 1.877759 (5)
The final solution set is :
-0.498153 ≤ x < 0 或 0 < x ≤ 1.877759 Your problem has not been solved here? Please take a look at the hot problems !