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 lnx+asinx+sqrt(-x) >-1000000000 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
ln x + arcsin x + sqrt ( -x ) > -1000000000 (1)
From the definition field of ln
x > 0 (2 )
From the definition field of arcsin
x ≥ -1 (3 )
x ≤ 1 (4 )
From the definition field of √
-x ≥ 0 (5 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x > 0
From inequality(3):
x ≥ -1
From inequality(4):
x ≤ 1
From inequality(5):
x ≤ 0
From inequalities (1) and (2)
x > 0 (6)
From inequalities (3) and (6)
x > 0 (7)
From inequalities (4) and (7)
0 < x ≤ 1 (8)
From inequalities (5) and (8)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (9)
The final solution set is :
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!Your problem has not been solved here? Please take a look at the hot problems !