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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (1+16*(x+80)/(x+80+2000)+0.8)*0.9 >= (1+16*x/(x+2000)+0.15)*1.1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 1 + 16 * ( x + 80 ) / ( x + 80 + 2000 ) + 0.8 ) * 0.9 >= ( 1 + 16 * x / ( x + 2000 ) + 0.15 ) * 1.1 (1)
From the definition field of divisor
x + 80 + 2000 ≠ 0 (2 )
From the definition field of divisor
x + 2000 ≠ 0 (3 )
From inequality(1):
x ≤ √309607793/√999
From inequality(2):
x < -2080 或 x > -2080
From inequality(3):
x < -2000 或 x > -2000
From inequalities (1) and (2)
x < -2080 或 -2080 < x ≤ √309607793/√999 (4)
From inequalities (3) and (4)
x < -2080 或 -2080 < x < -2000 或 -2000 < x ≤ √309607793/√999 (5)
The final solution set is :
x < -2080 或 -2080 < x < -2000 或 -2000 < x ≤ √309607793/√999 Your problem has not been solved here? Please take a look at the hot problems !