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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality {(a*1.25)/[0.6*(a*1.25)+0.73]}/{a/[(0.6*a)+0.73]} >1.06 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( ( a * 1.25 ) / ( 0.6 * ( a * 1.25 ) + 0.73 ) ) / ( a / ( ( 0.6 * a ) + 0.73 ) ) >1.06 (1)
From the definition field of divisor
0.6 * ( x * 1.25 ) + 0.73 ≠ 0 (2 )
From the definition field of divisor
( 0.6 * x ) + 0.73 ≠ 0 (3 )
From the definition field of divisor
x / ( ( 0.6 * x ) + 0.73 ) ≠ 0 (4 )
From inequality(1):
-0.973333 < a < 1387/450
From inequality(2):
a < -73/75 或 a > -73/75
From inequality(3):
a < -1.216667 或 a > -1.216667
From inequality(4):
a < -1.216667 或 -1.216667 < a < 0 或 a > 0
From inequalities (1) and (2)
-0.973333 < a < 1387/450 (5)
From inequalities (3) and (5)
-0.973333 < a < 1387/450 (6)
From inequalities (4) and (6)
-0.973333 < a < 0 或 0 < a < 1387/450 (7)
The final solution set is :
-0.973333 < a < 0 或 0 < a < 1387/450 Your problem has not been solved here? Please take a look at the hot problems !