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Assignment:Find the solution set of inequality -0.1*x^2/((1/x-1)^2)+353300*x^2/(exp(1.6258*(1/x-1))-1) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-0.1 * x ^ 2 / ( ( 1 / x - 1 ) ^ 2 ) + 353300 * x ^ 2 / ( e ( 1.6258 * ( 1 / x - 1 ) ) - 1 ) >0 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
( 1 / x - 1 ) ^ 2 ≠ 0 (3 )
From the definition field of divisor
x ≠ 0 (4 )
From the definition field of divisor
e ( 1.6258 * ( 1 / x - 1 ) ) - 1 ≠ 0 (5 )
From inequality(1):
√39171/√7000000 < x < 1.000001
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x < 1 或 x > 1
From inequality(4):
x < 0 或 x > 0
From inequality(5):
x < 0 或 0 < x < 1 或 x > 1
From inequalities (1) and (2)
√39171/√7000000 < x < 1.000001 (6)
From inequalities (3) and (6)
√39171/√7000000 < x < 1 或 1 < x < 1.000001 (7)
From inequalities (4) and (7)
√39171/√7000000 < x < 1 或 1 < x < 1.000001 (8)
From inequalities (5) and (8)
√39171/√7000000 < x < 1 或 1 < x < 1 或 1 < x < 1.000001 (9)
The final solution set is :
√39171/√7000000 < x < 1 或 1 < x < 1 或 1 < x < 1.000001 Your problem has not been solved here? Please take a look at the hot problems !