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Assignment:Find the solution set of inequality 1+16*x/(x+2000)+0.8+4 >= (1+16*x/(x+2000)+0.15+4)*(1+(0.3-0.1)/2) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 + 16 * x / ( x + 2000 ) + 0.8 + 4 >= ( 1 + 16 * x / ( x + 2000 ) + 0.15 + 4 ) * ( 1 + ( 0.3 - 0.1 ) / 2 ) (1)
From the definition field of divisor
x + 2000 ≠ 0 (2 )
From the definition field of divisor
x + 2000 ≠ 0 (3 )
From inequality(1):
x ≥ 0
From inequality(2):
x < -2000 或 x > -2000
From inequality(3):
x < -2000 或 x > -2000
From inequalities (1) and (2)
x ≥ 0 (4)
From inequalities (3) and (4)
x ≥ 0 (5)
The final solution set is :
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