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Assignment:Find the solution set of inequality 3x/(x^2+2) ≥1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
3 * x / ( x ^ 2 + 2 ) ≥1 (1)
From the definition field of divisor
x ^ 2 + 2 ≠ 0 (2 )
From inequality(1):
1 ≤ x ≤ 2
From inequality(2):
x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
From inequalities (1) and (2)
1 ≤ x ≤ 2 (3)
The final solution set is :
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