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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality {1.25*a/[0.53*(1.25*a)+1]}/{a/[(0.53*a)+1]} >1.06 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 1.25 * a / ( 0.53 * ( 1.25 * a ) + 1 ) ) / ( a / ( ( 0.53 * a ) + 1 ) ) >1.06 (1)
From the definition field of divisor
0.53 * ( 1.25 * x ) + 1 ≠ 0 (2 )
From the definition field of divisor
( 0.53 * x ) + 1 ≠ 0 (3 )
From the definition field of divisor
x / ( ( 0.53 * x ) + 1 ) ≠ 0 (4 )
From inequality(1):
-1.509434 < a < √79965191/√3500000
From inequality(2):
a < -1.509434 或 a > -1.509434
From inequality(3):
a < -1.886792 或 a > -1.886792
From inequality(4):
a < -1.886792 或 -1.886792 < a < 0 或 a > 0
From inequalities (1) and (2)
-1.509434 < a < √79965191/√3500000 (5)
From inequalities (3) and (5)
-1.509434 < a < √79965191/√3500000 (6)
From inequalities (4) and (6)
-1.509434 < a < 0 或 0 < a < √79965191/√3500000 (7)
The final solution set is :
-1.509434 < a < 0 或 0 < a < √79965191/√3500000 Your problem has not been solved here? Please take a look at the hot problems !