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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality x/(x^2+x+1) >= 1/2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
x / ( x ^ 2 + x + 1 ) >= 1 / 2 (1)
From the definition field of divisor
x ^ 2 + x + 1 ≠ 0 (2 )
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为全体实数),即在实数范围内,不等式恒成立!
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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