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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (-1000)/(1+x)+(100)/(1+x)^2+(350)/(1+x)^3+(600)/(1+x)^4+(850)/(1+x)^5 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( -1000 ) / ( 1 + x ) + ( 100 ) / ( 1 + x ) ^ 2 + ( 350 ) / ( 1 + x ) ^ 3 + ( 600 ) / ( 1 + x ) ^ 4 + ( 850 ) / ( 1 + x ) ^ 5 >0 (1)
From the definition field of divisor
1 + x ≠ 0 (2 )
From the definition field of divisor
1 + x ≠ 0 (3 )
From the definition field of divisor
1 + x ≠ 0 (4 )
From the definition field of divisor
1 + x ≠ 0 (5 )
From the definition field of divisor
1 + x ≠ 0 (6 )
From inequality(1):
x < -1.853511 或 -1.003981 < x < 0.232655
From inequality(2):
x < -1 或 x > -1
From inequality(3):
x < -1 或 x > -1
From inequality(4):
x < -1 或 x > -1
From inequality(5):
x < -1 或 x > -1
From inequality(6):
x < -1 或 x > -1
From inequalities (1) and (2)
x < -1.853511 或 -1.003981 < x < -1 或 -1 < x < 0.232655 (7)
From inequalities (3) and (7)
x < -1.853511 或 -1.003981 < x < -1 或 -1 < x < 0.232655 (8)
From inequalities (4) and (8)
x < -1.853511 或 -1.003981 < x < -1 或 -1 < x < 0.232655 (9)
From inequalities (5) and (9)
x < -1.853511 或 -1.003981 < x < -1 或 -1 < x < 0.232655 (10)
From inequalities (6) and (10)
x < -1.853511 或 -1.003981 < x < -1 或 -1 < x < 0.232655 (11)
The final solution set is :
x < -1.853511 或 -1.003981 < x < -1 或 -1 < x < 0.232655 Your problem has not been solved here? Please take a look at the hot problems !