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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (100)/(1+x)+(350)/(1+x)^2+(600)/(1+x)^3+(850)/(1+x)^4 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 100 ) / ( 1 + x ) + ( 350 ) / ( 1 + x ) ^ 2 + ( 600 ) / ( 1 + x ) ^ 3 + ( 850 ) / ( 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 > -3.464841
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)
-3.464841 < x < -1 或 x > -1 (6)
From inequalities (3) and (6)
-3.464841 < x < -1 或 x > -1 (7)
From inequalities (4) and (7)
-3.464841 < x < -1 或 x > -1 (8)
From inequalities (5) and (8)
-3.464841 < x < -1 或 x > -1 (9)
The final solution set is :
-3.464841 < x < -1 或 x > -1Your problem has not been solved here? Please take a look at the hot problems !