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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality -2000+500/1+x+700/(1+x)^2+2000/(1+x)^3 >-10000+8000/1+x+2500/(1+x)^2+2000/(1+x)^3 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-2000 + 500 / 1 + x + 700 / ( 1 + x ) ^ 2 + 2000 / ( 1 + x ) ^ 3 > -10000 + 8000 / 1 + x + 2500 / ( 1 + x ) ^ 2 + 2000 / ( 1 + x ) ^ 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 inequality(1):
x < -2.897367 或 x > 0.897367
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 < -2.897367 或 x > 0.897367 (6)
From inequalities (3) and (6)
x < -2.897367 或 x > 0.897367 (7)
From inequalities (4) and (7)
x < -2.897367 或 x > 0.897367 (8)
From inequalities (5) and (8)
x < -2.897367 或 x > 0.897367 (9)
The final solution set is :
x < -2.897367 或 x > 0.897367Your problem has not been solved here? Please take a look at the hot problems !