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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 45x-1/6+(40000000x-x^2/6)/(x-(54000x-200)/(200000-x/1200)) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
45 * x - 1 / 6 + ( 40000000 * x - x ^ 2 / 6 ) / ( x - ( 54000 * x - 200 ) / ( 200000 - x / 1200 ) ) >0 (1)
From the definition field of divisor
200000 - x / 1200 ≠ 0 (2 )
From the definition field of divisor
x - ( 54000 * x - 200 ) / ( 200000 - x / 1200 ) ≠ 0 (3 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
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 inequality(3):
x < -0.00137 或 x > -0.00137
From inequalities (1) and (2)
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (4)
From inequalities (3) and (4)
x < -0.00137 或 x > -0.00137 (5)
The final solution set is :
x < -0.00137 或 x > -0.00137Your problem has not been solved here? Please take a look at the hot problems !