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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 <-10000+8000/(1+r)+2500/(1+r)^2+2000/(1+r)^3 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-2000 + 500 / ( 1 + r ) + 700 / ( 1 + r ) ^ 2 + 2000 / ( 1 + r ) ^ 3 < -10000 + 8000 / ( 1 + r ) + 2500 / ( 1 + r ) ^ 2 + 2000 / ( 1 + r ) ^ 3 (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 the definition field of divisor
1 + x ≠ 0 (7 )
From inequality(1):
-1.198128 < r < 0.135628
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 inequality(5):
r < -1 或 r > -1
From inequality(6):
r < -1 或 r > -1
From inequality(7):
r < -1 或 r > -1
From inequalities (1) and (2)
-1.198128 < r < -1 或 -1 < r < 0.135628 (8)
From inequalities (3) and (8)
-1.198128 < r < -1 或 -1 < r < 0.135628 (9)
From inequalities (4) and (9)
-1.198128 < r < -1 或 -1 < r < 0.135628 (10)
From inequalities (5) and (10)
-1.198128 < r < -1 或 -1 < r < 0.135628 (11)
From inequalities (6) and (11)
-1.198128 < r < -1 或 -1 < r < 0.135628 (12)
From inequalities (7) and (12)
-1.198128 < r < -1 或 -1 < r < 0.135628 (13)
The final solution set is :
-1.198128 < r < -1 或 -1 < r < 0.135628 Your problem has not been solved here? Please take a look at the hot problems !