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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 (z+4)/(z+5)-(z-9)/(z-5) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( z + 4 ) / ( z + 5 ) - ( z - 9 ) / ( z - 5 ) >0 (1)
From the definition field of divisor
x + 5 ≠ 0 (2 )
From the definition field of divisor
x - 5 ≠ 0 (3 )
From inequality(1):
-25/3 < z < -5 或 z > 5
From inequality(2):
z < -5 或 z > -5
From inequality(3):
z < 5 或 z > 5
From inequalities (1) and (2)
-25/3 < z < -5 或 z > 5 (4)
From inequalities (3) and (4)
-25/3 < z < -5 或 z > 5 (5)
The final solution set is :
-25/3 < z < -5 或 z > 5Your problem has not been solved here? Please take a look at the hot problems !