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History of Inequality Computation > Answer
Overview: 2 questions will be solved this time.Among them
☆2 inequalities
[ 1/2Inequality]
Assignment:Find the solution set of inequality 4x^2-4(2x+1)(x-1) >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
4 * x ^ 2 - 4 * ( 2 * x + 1 ) * ( x - 1 ) >= 0 (1)
From inequality(1):
-0.618034 ≤ x ≤ 1.618034
The final solution set is :
-0.618034 ≤ x ≤ 1.618034[ 2/2Inequality]
Assignment:Find the solution set of inequality (x-1)/(2x+1) <0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( x - 1 ) / ( 2 * x + 1 ) <0 (1)
From the definition field of divisor
2 * x + 1 ≠ 0 (2 )
From inequality(1):
-0.5 < x < 1
From inequality(2):
x < -1/2 或 x > -1/2
From inequalities (1) and (2)
-0.5 < x < 1 (3)
The final solution set is :
-0.5 < x < 1 Your problem has not been solved here? Please take a look at the hot problems !