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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(x+sqrt(x^2+1))
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
ln ( x + sqrt ( x ^ 2 + 1 ) ) < x (1)
From the definition field of √
x ^ 2 + 1 ≥ 0 (2 )
From the definition field of ln
x + sqrt ( x ^ 2 + 1 ) > 0 (3 )
From inequality(1):
x > -3/500000
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
x < -9411.73642 或 x > -9411.73642
From inequalities (1) and (2)
x > -3/500000 (4)
From inequalities (3) and (4)
x > -3/500000 (5)
The final solution set is :
x > -3/500000Your problem has not been solved here? Please take a look at the hot problems !