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Assignment:Find the solution set of inequality 10-10x >010-10x-10x^(2) >010-10x-10x^(2)-10x^(3) >010-10x-10x^(2)-10x^(3)-10x^(4) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 4 inequalities:
10 - 10 * x >010 - 10 * x - 10 * x ^ ( 2 ) (1)
010 - 10 * x - 10 * x ^ ( 2 ) >010 - 10 * x - 10 * x ^ ( 2 ) - 10 * x ^ ( 3 ) (2)
010 - 10 * x - 10 * x ^ ( 2 ) - 10 * x ^ ( 3 ) >010 - 10 * x - 10 * x ^ ( 2 ) - 10 * x ^ ( 3 ) - 10 * x ^ ( 4 ) (3)
010 - 10 * x - 10 * x ^ ( 2 ) - 10 * x ^ ( 3 ) - 10 * x ^ ( 4 ) >0 (4)
From inequality(1):
x < 0 或 x > 0
From inequality(2):
x > 1/500000
From inequality(3):
x < -59/1000000 或 x > -59/1000000
From inequality(4):
-1.290649 < x < 0.51879
From inequalities (1) and (2)
x > 1/500000 (5)
From inequalities (3) and (5)
x > 1/500000 (6)
From inequalities (4) and (6)
1/500000 < x < 0.51879 (7)
The final solution set is :
1/500000 < x < 0.51879 Your problem has not been solved here? Please take a look at the hot problems !