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☆1 inequalities
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Assignment:Find the solution set of inequality x^2+x
Question type: Inequality
Solution:
The inequality can be reduced to 3 inequalities:
x ^ 2 + x < ln x (1)
ln x < x ^ 2 + 1 (2)
From the definition field of ln
x > 0 (3 )
x ^ 2 + 1 <1 (4)
From inequality(1):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
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 > 0
From inequality(4):
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
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