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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality -1/20000 <1/2*(-41000+2x)/((21000-x)(20000-x)) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-1 / 20000 <1 / 2 * ( -41000 + 2 * x ) / ( ( 21000 - x ) * ( 20000 - x ) ) (1)
From the definition field of divisor
( 21000 - x ) * ( 20000 - x ) ≠ 0 (2 )
From inequality(1):
x < 487507803/1000000
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)
x < 487507803/1000000 (3)
The final solution set is :
x < 487507803/1000000Your problem has not been solved here? Please take a look at the hot problems !