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Assignment:Find the solution set of inequality [49-295.5*x-(5/x)]/[4.95-1/(2*x)] >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 49 - 295.5 * x - ( 5 / x ) ) / ( 4.95 - 1 / ( 2 * x ) ) >0 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
2 * x ≠ 0 (3 )
From the definition field of divisor
4.95 - 1 / ( 2 * x ) ≠ 0 (4 )
From inequality(1):
x < 0.10101
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x < 0 或 x > 0
From inequality(4):
x < 0 或 0 < x < 10/99 或 x > 10/99
From inequalities (1) and (2)
x < 0 或 0 < x < 0.10101 (5)
From inequalities (3) and (5)
x < 0 或 0 < x < 0.10101 (6)
From inequalities (4) and (6)
x < 0 或 0 < x < 10/99 (7)
The final solution set is :
x < 0 或 0 < x < 10/99 Your problem has not been solved here? Please take a look at the hot problems !