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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 ((0.2*k+(0.2/3.1416)^2-0.1)*(0.2*k+0.9)-(0.2/3.1415)^2*(0.2*k+1))/(0.2*k+(0.2/3.1416)^2-0.1) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( ( 0.2 * k + ( 0.2 / 3.1416 ) ^ 2 - 0.1 ) * ( 0.2 * k + 0.9 ) - ( 0.2 / 3.1415 ) ^ 2 * ( 0.2 * k + 1 ) ) / ( 0.2 * k + ( 0.2 / 3.1416 ) ^ 2 - 0.1 ) >0 (1)
From the definition field of divisor
0.2 * x + ( 0.2 / 3.1416 ) ^ 2 - 0.1 ≠ 0 (2 )
From inequality(1):
-4.502026 < k < 0.479736 或 k > 0.502027
From inequality(2):
k < 0.479736 或 k > 0.479736
From inequalities (1) and (2)
-4.502026 < k < 0.479736 或 k > 0.502027 (3)
The final solution set is :
-4.502026 < k < 0.479736 或 k > 0.502027Your problem has not been solved here? Please take a look at the hot problems !