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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality -2000+500/(1+r)+700/(1+r)^2+2000/(1+r)^3 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-2000 + 500 / ( 1 + r ) + 700 / ( 1 + r ) ^ 2 + 2000 / ( 1 + r ) ^ 3 >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 inequality(1):
-1.0001 < r < 0.2152
From inequality(2):
r < -1 或 r > -1
From inequality(3):
r < -1 或 r > -1
From inequality(4):
r < -1 或 r > -1
From inequalities (1) and (2)
-1.0001 < r < -1 或 -1 < r < 0.2152 (5)
From inequalities (3) and (5)
-1.0001 < r < -1 或 -1 < r < 0.2152 (6)
From inequalities (4) and (6)
-1.0001 < r < -1 或 -1 < r < 0.2152 (7)
The final solution set is :
-1.0001 < r < -1 或 -1 < r < 0.2152 Your problem has not been solved here? Please take a look at the hot problems !