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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (2x^2-x+1)/(2x+1) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 2 * x ^ 2 - x + 1 ) / ( 2 * x + 1 ) >0 (1)
From the definition field of divisor
2 * x + 1 ≠ 0 (2 )
From inequality(1):
x > -0.5
From inequality(2):
x < -1/2 或 x > -1/2
From inequalities (1) and (2)
x > -0.5 (3)
The final solution set is :
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