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Assignment:Find the solution set of inequality {(a+1)/[1*(a+1)+0.73]}/{a/[(1*a)+0.73]} >1.04 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( ( a + 1 ) / ( 1 * ( a + 1 ) + 0.73 ) ) / ( a / ( ( 1 * a ) + 0.73 ) ) >1.04 (1)
From the definition field of divisor
1 * ( x + 1 ) + 0.73 ≠ 0 (2 )
From the definition field of divisor
( 1 * x ) + 0.73 ≠ 0 (3 )
From the definition field of divisor
x / ( ( 1 * x ) + 0.73 ) ≠ 0 (4 )
From inequality(1):
-5.223695 < a < -1.73 或 0 < a < 3.493695
From inequality(2):
a < -173/100 或 a > -173/100
From inequality(3):
a < -73/100 或 a > -73/100
From inequality(4):
a < -0.73 或 -0.73 < a < 0 或 a > 0
From inequalities (1) and (2)
-5.223695 < a < -1.73 或 0 < a < 3.493695 (5)
From inequalities (3) and (5)
-5.223695 < a < -1.73 或 0 < a < 3.493695 (6)
From inequalities (4) and (6)
-5.223695 < a < -1.73 或 0 < a < 3.493695 (7)
The final solution set is :
-5.223695 < a < -1.73 或 0 < a < 3.493695 Your problem has not been solved here? Please take a look at the hot problems !