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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality abs((4x^2+1)/(x^2-x+1)) <3 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
abs ( ( 4 * x ^ 2 + 1 ) / ( x ^ 2 - x + 1 ) ) <3 (1)
From the definition field of divisor
x ^ 2 - x + 1 ≠ 0 (2 )
From inequality(1):
-3.561553 < x < 0.561553
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)
-3.561553 < x < 0.561553 (3)
The final solution set is :
-3.561553 < x < 0.561553 Your problem has not been solved here? Please take a look at the hot problems !