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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 (x+√(x^2+1))^x <1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( x + √ ( x ^ 2 + 1 ) ) ^ x <1 (1)
From the definition field of √
x ^ 2 + 1 ≥ 0 (2 )
From inequality(1):
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (3)
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 !