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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (100-1000)/(1+x)+(450-1000)/(1+x)^2+(1050-1000)/(1+x)^3+(1900-1000)/(1+x)^4 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 100 - 1000 ) / ( 1 + x ) + ( 450 - 1000 ) / ( 1 + x ) ^ 2 + ( 1050 - 1000 ) / ( 1 + x ) ^ 3 + ( 1900 - 1000 ) / ( 1 + x ) ^ 4 >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 inequality(1):
x < -0.152683
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 inequalities (1) and (2)
x < -1 或 -1 < x < -0.152683 (6)
From inequalities (3) and (6)
x < -1 或 -1 < x < -0.152683 (7)
From inequalities (4) and (7)
x < -1 或 -1 < x < -0.152683 (8)
From inequalities (5) and (8)
x < -1 或 -1 < x < -0.152683 (9)
The final solution set is :
x < -1 或 -1 < x < -0.152683 Your problem has not been solved here? Please take a look at the hot problems !