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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 (2*x^2+1)/(2*x^2-x+2) >0.95 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 2 * x ^ 2 + 1 ) / ( 2 * x ^ 2 - x + 2 ) >0.95 (1)
From the definition field of divisor
2 * x ^ 2 - x + 2 ≠ 0 (2 )
From inequality(1):
x < -√107496487/1000 或 x > 0.868051
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)
x < -√107496487/1000 或 x > 0.868051 (3)
The final solution set is :
x < -√107496487/1000 或 x > 0.868051Your problem has not been solved here? Please take a look at the hot problems !